Statistics Questions

Sd Sd Hd d tc Construct a 90 confidence interval using the inequality d te n n To test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night researchers randomly select 13 patients and record the number of hours of sleep each gets with and without the new drug Patient 1 2 3 4 5 6 7 4 9 3 6 4 9 1 8 3 8 4 5 8 4 4 9 10 11 12 13 1 9 2 9 1 8 1 8 2 5 Sleep without the drug 2 7 Sleep using the drug 4 3 6 6 5 5 7 2 4 0 4 7 7 0 5 8 3 5 5 2 3 7 2 6 4 9 CECCH Calculated for each patient by subtracting the number of hours of sleep with the drug from the number without the drug The confidence interval is Type an integer or a decimal Round to two decimal places as needed

a A chemist at a pharmaceutical company wants to test the quality of a new batch of microscopes Which of the following best describes a cluster sample of microscopes O O O O The chemist takes a list of the microscopes and selects every 6th microscope until 54 microscopes are selected The chemist forms groups of 9 microscopes based on the laboratories that the microscopes are in Then he randomly chooses 6 groups and selects all of the microscopes in these groups The microscopes in the first shipment that was received are easily accessible So he selects all 54 of the microscopes in this shipment b A facilities supervisor at a sports stadium wants to rate the condition of the seats at the stadium Which of the following best describes a stratified sample of seats The supervisor forms groups of 10 seats based on the sections the seats are in Then she selects all of the seats in 5 randomi chosen groups All of the seats in the VIP section are easily accessible So the supervisor selects the 50 seats in this section The supervisor forms 2 groups of seats based on the dates the seats were last replaced Then she selects 25 seats at random from each group c A botanist at a nursery wants to inspect the health of the plants at the nursery Which of the following best describes a systematic sample of plants The botanist takes a list of the plants and selects every 4th plant until 80 plants are selected O The botanist forms 4 groups of plants based on the ages of the plants in months Then he selects 20 plants at random from each group The botanist assigns each plant a different number Using a random number table he draws 80 of those numbers at random Then he selects the plants assigned to the drawn numbers Every set of 80 plants is equally likely to be drawn using the random number table

The following data give the family size a and number of pets per family y for a random sample of families 987 Create a scatterplot for the data 11 10 8 6 5 4 3 21 2 y Clear All Draw 18 50 r 0 3028 43 23 38 6 6 4 x 1 2 3 4 5 6 7 8 9 10 11 36 45 5 52 3 0 1 7 54 5 1 10 Determine the least squares regression line for the data Round values to four decimal places if necessary 1 0395x 7 8289 Determine the correlation coefficent Round the solution to four decimal places if necessary 33 solution to

Test the claim below about the mean of the differences for a population of paired data at the level of significance a Assume the samples are random and dependent and the populations are nor distributed Claim 0 0 10 Sample statistics d 1 4 sd 3 2 n 18 Identify the null and alternative hypotheses Choose the correct answer below OA Ho Hd 0 Ha Hd 0 OC Ho Hd 0 Ha Hd 20 OE Ho Hd 0 Ha Hd 0 0 The test statistic is t Round to two decimal aces as needed B Ho Hd 20 Ha Hd 0 OD Ho Hd 0 Ha Hd 0 OF Ho Ha 0 Ha Hd 0

The pass completion percentages have incitastu D The pass completion percentages have decreased The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below At a 0 05 is there enough evidence to support the claim that th pass completion percentages have changed Complete parts a through e below Player Completion percentage freshman 1 2 3 4 5 6 7 8 9 10 D 68 2 62 9 56 7 59 0 62 1 52 0 57 0 63 9 55 4 57 2 Completion percentage sophomore 68 0 56 9 62 3 60 5 60 6 59 7 62 9 62 9 57 3 60 1 Let d be the hypothesized mean of the differences in the pass completion percentages freshman sophomore Then d is the sample mean of the differences What are Ho and H Hd A Ho Hd 0 Ha Hd 0 O D Ho Hd2d Ha Hd d B Ho Hd 20 Ha Hd 0 ort Points 0 of 1 E Ho Hasd Ha Hd d b Find the critical value s and identify the rejection region s Select the correct choice below and fill in any answer boxes to complete your choice Round to two decimal places as needed O A t O B t OC Ho Hd 0 Ha Hd 0 Save OF Ho Hd 0 Ha Hd 0

K To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B The mean braking distance for Make A is 45 feet Assume the population standard deviation is 4 5 feet The mean braking distance for Make B is 47 feet Assume the population standard deviation is 43 feet At a 0 10 can the engineer support the claim that the mean braking distances are different for the two makes of automobiles Assume the samples are random and independent and the populations are normally distributed Complete parts a through e Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table a untury uit cian and state to an a What is the claim A The mean braking distance is different for the two makes of automobiles OB The mean braking distance is the same for the two makes of automobiles OC The mean braking distance is less for Make A automobiles than Make B automobiles OD The mean braking distance is greater for Make A automobiles than Make B automobiles What are Ho and Ha A Ho H H2 Ha H1 H2 OD Ho ky2M2 Ha H1 H2 b Find the critical value s and identify the rejection region s The critical value s is are OB Ho H1 H Ha H1 H2 OE Ho H H2 Ha H1 H2 dad Uco a comma to separate answers as needed C Ho Hy H2 Ha 12 OF Ho H H Ha H1 H

For a new type of tire a racing car team found the average distance a set of tires would run during a race is 164 miles with a standard deviation of 17 miles Assume that tire mileage is and follows a Normal model a If the team plans to change tires twice during a 500 mile race what is the expected value and standard deviation of miles remaining after two changes b What is the probability they won t have to change tires a third time and use a fourth set of tires before the end of a 500 mile race a The expected value for miles remaining is 172 miles Type an integer or decimal rounded to three decimal places as needed The standard deviation for miles remaining is 24 042 miles Type an integer or decimal rounded to three decimal places as needed b The probability they won t have to change tires a third time is Type an integer or decimal rounded to three decimal places as needed

According to a recent poll 25 of adults in a certain area have high levels of cholesterol They report that such elevated levels could be financially devastating to the regions healthcare system and are a major concern to health insurance providers Assume the standard deviation from the recent studies is accurate and known According to recent studies cholesterol levels in healthy adults from the area average about 205 mg dL with a standard deviation of about 30 mg dL and are roughly Normally distributed If the cholesterol levels of a sample of 45 healthy adults from the region is taken answer parts a through d a What is the probability that the mean cholesterol level of the sample will be no more than 205 Pys 205 Round to three decimal places as needed

Suppose that a researcher is interested in estimating the mean systolic blood pressure of executives of major corporations He plans to use the blood pressures of a random sample of executives of major corporations to estimate Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26 mm Hg what is the minimum sample size needed for the researcher to be 95 confident that his estimate is within 5 mm Hg of B Carry your intermediate computations to at least three decimal places Write your answer as a whole number and make sure that it is the minimum whole number that satisfies the requirements If necessary consult a list of formulas m E

A random sample of 200 adults was given an IQ test It was found that 94 of them scored higher than 100 Based on this compute a 99 confidence interval for the proportion of all adults whose IQ score is greater than 100 Then find the lower limit and upper limit of the 99 confidence interval Carry your intermediate computations to at least three decimal places Round your answers to two decimal places If necessary consult a list of formulas Lower limit Upper limit X S Im A

Suppose a simple random sample of size n 64 is obtained from a population with 78 and 32 a Describe the sampling distribution of x b What is P x 84 c What is P x 69 6 d What is P 75 4 x 86 6 Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 D The UISUIDUTION IS Skewe lei OC The distribution is skewed right D The distribution is approximately normal O E The shape of the distribution is unknown Find the mean and standard deviation of the sampling distribution of x Hx 4 78 b P x 84 Round to four decimal places as needed c P x 69 6 Round to four decimal places as needed d P 75 4 x 86 6 Round to four decimal places as needed w

Fill in the blanks to correctly complete the sentence below Suppose a simple random sample of size n is drawn from a large population with mean and standard deviation o The sampling distribution of x has mean and standard deviation o Suppose a simple random sample of size n is drawn from a large population with mean and standard deviation o The sampling distribution of x has mean and standard deviation o

plete the sentence below standard deviation of the sampling distribution of x denoted o is called the standard deviation of the sampling distribution of x denoted o is called the of the of the

Records from a toy manufacturing company showed that the mean time that the top selling toy captured children s attention was 20 minutes A competing company strongly suspects that the mean time will be less than 20 minutes for the new generation of children and wishes to carry out a hypothesis test State the null hypothesis Ho and the alternative hypothesis H that we would use for this test Ho H 0 H Q XI O ON P S 0 0 E

mg Calcium levels in people are normally distributed with a mean of 9 3 and a standard deviation of 0 3 dL Individuals with calcium levels in the bottom 5 of the population are considered to have low calcium levels Find the calcium level that s the borderline between low calcium levels and those not considered low Carry your intermediate computations to at least Four decimal places Round your answer to one decimal place B mg 3 mg dL

Here are three histograms Histogram A 60 50 40 30 20 10 Mdm 0 2 4 6 8 10 12 14 16 18 20 22 24 Histogram B 60 50 40 30 20 10 0 0 2 4 6 8 10 12 14 16 18 20 22 24 a Which histogram is skewed to the left the most Histogram A Histogram B b Which histogram is best described as bimodal Histogram A Histogram B c Which histogram is the closest to being symmetric Histogram A Histogram B d Which histogram is the closest to being bell shaped Histogram A Histogram B Histogram C Histogram C Histogram C Histogram C 60 50 40 30 20 10 X Histogram C S E 20 02 4 6 8 10 12 14 16 18 20 22 24

b z 1 35 c 1 7 z 1 75 d z 0 6 a Choose the correct graph of z 2 2 Find the percent of the area to the right of z 2 Round to two decimal places as needed OB 2 GE O C Q OD

and o 88 a 8 n 64 Determine from the given parameters of the population and sample size

Is the statement below true or false The mean of the sampling distribution of p is p Choose the correct answer below O False O True

s the statement below true or false The distribution of the sample mean x will be normally distributed if the sample is obtained from a population that is normally distributed regardless of the sample size Choose the correct answer below O True False GILE

The following contingency table shows opinion about global warming nonissue vs serious concem among registered voters broken down by political party affiliation Democratic Repul Independent Use the table to answer a through c below Opinions on Global Warming Nonissue Serious Concern Total Democratic Political Party Republican Independent Total 70 260 70 400 430 240 130 800 500 500 200 1200 O www a What is the probability that a randomly selected registered voter who is a Republican believes that global warming is a serious issue 480 Round to three decimal places as needed b What is the probability that a randomly selected registered voter is a Republican given that he or she believes global warming is a serious issue Round to three decimal places as needed

Part 2 of 6 Test a claim that the mean amount of carbon monoxide in the air in U S cities is less than 2 32 parts per million It was found that the mean amount of carbon monoxide in the air for the random sample of 64 c is 2 38 parts per million and the standard deviation is 2 09 parts per million At a 0 05 can the claim be supported Complete parts a through e below Assume the population is normally distributed a Identify the claim and state Ho and Ha Which of the following correctly states Ho and Ha Ho 22 32 Ha H 2 32 Type integers or decimals Do not round The claim is the alternative hypothesis b Use technology to find the critical value s and identify the rejection region s The critical value s is are to Use a comma to separate answers as needed Round to two decimal places as needed Points 0 41 of 1

Test the claim about the population mean at the level of significance a Assume the population is normally distributed Claim 5215 a 0 10 Sample statistics x 5317 s 5949 n 53 What are the null and alternative hypotheses Ho l M 5215 Ha H 5215 Type integers or decimals Do not round Find the standardized test statistic t Round to two decimal places as needed CUL Points

O Points 0 of 1 Test a claim that the mean amount of carbon monoxide in the air in U S cities is less than 2 32 parts per million It was found that the mean amount of carbon monoxide in the air for the random sample of 64 cities is 2 38 parts per million and the standard deviation is 2 09 parts per million At a 0 05 can the claim be supported Complete parts a through e below Assume the population is normally distributed Part 1 of 6 a Identify the claim and state Ho and H Which of the following correctly states Ho and H Ho Ha Type integers or decimals Do not round The claim is the hypothesis

Explain how to find the critical values for a t distribution Click the icon to view the t distribution table Give the first step Choose the correct answer below A Identify the level of significance x and the degrees of freedom d f n 1 1 a B Identify the level of significance 2 and the degrees of freedom d f n OC Identify the level of significance 1 a and the degrees of freedom d f n OD Identify the level of significance and the degrees of freedom d f n 1 Find the critical value s using the given t distribution table in the row with the correct degrees of freedom If the hypothesis test is left tailed use the column with a Two tails One tail a a a sign

K A research center claims that 31 of adults in a certain country would travel into space on a commercial flight if they could afford it In a random sample of 1200 adults in that country 35 say that they would travel into space on a commercial flight if they could afford it At a 0 10 is there enough evidence to reject the research center s claim Complete parts a through d below A Ho p 0 31 Hap 0 31 D The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not Let p be the population proportion of successes where a success is an adult in the country who would travel into space on a commercial flight if they could afford it State H and H Select the correct choice below and fill in the answer boxes to complete your choice Round to two decimal places as needed OD Ho p Ha p b Use technology to find the P value Identify the standardized test statistic Z 3 00 Round to two decimal places as needed Identify the P value tegic There Points 0 63 01 1 OB Ho ps H p IS OE Ho P Ha p P 0 003 Round to three decimal places as needed c Decide whether to reject or fail to reject the null hypothesis and d interpret the decision in the context of the original claim enough evidence to support the research center s claim OC Ho p H ps Save OF Ho P H p Clear all C

A nutritionist claims that the mean tuna consumption by a person is 3 1 pounds per year A sample of 50 people shows that the mean tuna consumption by a person is 2 9 pounds per year Assume the popul standard deviation is 1 06 pounds At a 0 05 can you reject the claim a Identify the null hypothesis and alternative hypothesis A Ho 3 1 Ha 3 1 OD Ho H 2 9 Ha 2 9 b Identify the standardized test statistic Round to two decimal places as needed B Ho H 2 9 Ha H 2 9 E Ho H 3 1 Ha 3 1 Points 0 25 of 1 OC Ho H 3 1 Ha H 3 1 OF Ho 29 H 2 9

a Identify the null hypothesis and alternative hypothesis A nutritionist claims that the mean tuna consumption by a person is 3 1 pounds per year A sample of 50 people shows that the mean tuna consumption by a person is 2 9 pounds per year Assume the par standard deviation is 1 06 pounds At a 0 05 can you reject the claim A Ho H 3 1 Ha 3 1 OD Ho H 2 9 Ha 2 9 b Identify the standardized test statistic Round to two decimal places as needed Z Part 2 of 4 B Ho H 2 9 Ha 2 9 Points 0 25 of 1 OE Ho H 3 1 Ha 3 1 OC Ho H 3 1 Ha 3 1 OF Ho 29 H 29

Points 0 38 of 1 A humane society claims that less than 61 of households in a certain country own a pet In a random sample of 800 households in that country 464 say they own a pet At a 0 05 is there enough evidence to support the society s claim Complete parts a through c below Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round A Less than 61 of households in the country own a pet OB of households in the country own a pet OC The percentage households in the country that own a pet is not OD More than of households in the country own a pet Part 3 of 5 OA Ho p Ha p D Hops Ha p Let p be the population proportion of successes where a success is a household in the country that owns a pet State Ho and H Select the correct choice below and fill in the answer boxes to complete your choice Round to two decimal places as needed b Use technology to find the P value Identify the standardized test statistic OB Ho P Ha p E Ho p 0 61 Ha p 0 61 OC Ho P Save H p OF Ho p Ha ps

K A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 763 hours A random sample of 28 light bulbs has a mean life of 735 hours Assume the population is noftr distributed and the population standard deviation is 58 hours At a 0 05 do you have enough evidence to reject the manufacturer s claim Complete parts a through e a Identify the null hypothesis and alternative hypothesis OA Ho 763 claim H 763 Part 1 of 5 OD Ho 735 claim H 735 OB Ho p 735 Ha 735 claim OE Ho 763 claim H 763 OC Ho H 735 Ha 735 claim OF Ho 763 Haus 763 claim

K Find the critical value s and rejection region s for the indicated t test level of significance a and sample size n Left tailed test a 0 01 n 18 Click the icon to view the t distribution table The critical value s is are Round to the nearest thousandth as needed Use a comma to separate answers as needed t Distribution Table d f 1 2 3 4 5 6 7 Level of confidence c One tail a Two tails a 8 9 10 11 12 13 14 15 16 17 18 0 80 0 90 0 95 0 98 0 99 0 10 0 05 0 025 0 01 0 005 0 20 0 10 0 05 d f 0 01 0 02 12 706 31 821 63 657 1 3 078 6 314 2 920 4303 1 886 6 965 9 925 2 2 353 3 182 4 541 5841 1 638 3 2776 4 604 3 747 4 1 533 2 132 3 365 4 032 5 2 571 1476 2 015 3 707 6 1 943 2447 3 143 7 3 499 2 365 1 895 2 998 1 415 2 896 1 860 2 306 1 397 2 262 1 383 1 833 1 440 3 355 2 821 3 250 2228 2764 1 372 1 812 1363 1 796 1356 1 782 2 718 2 201 2 179 2 681 1 350 1 771 2 160 2 650 1 345 1341 1 753 1337 1 746 1 761 2 145 2 624 2 602 2 583 2 131 2 120 2 110 1 740 2 101 2 093 1 333 1 330 1 734 1328 1 729 2567 2 552 2 539 3 169 3 106 3 055 3 012 2 977 2 947 2 921 2 898 2 878 2 861

Part 1 of 5 Which sampling distribution should be used and why OA Use a normal sampling distribution because the population is normal and a is known OC Use a normal sampling distribution because the population is normal and a is unknown OE Use a t sampling distribution because the population is normal and o is known HW Score 60 13 23 45 of 39 points Points 0 of 1 A car company says that the mean gas mileage for its luxury sedan is at least 24 miles per gallon mpg You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 21 mpg and a standard deviation of 2 mpg At a 0 10 test the company s claim Assume the population is normally distributed Click here to view the t distribution table Click here to view page 1 of the normal table Click here to view page 2 of the normal table MIS Save OB Use a normal sampling distribution because n 30 OD Use a t sampling distribution because the population is normal and o is unknown OF Use a t sampling distribution because n 30

K State whether the standardized test statistic t indicates that you should reject the null hypothesis Explain a t 1 603 b t 0 c t 1 531 d t 1 641 Part 1 of 4 a Fort 1 603 should you reject or fail to reject the null hypothesis OA Reject Ho because t 1 574 O B Fail to reject Ho because t 1 574 OC Reject Ho because t 1 574 OD Fail to reject Ho because t 1 574 O Points 0 of 1

Part 1 of 5 Points 0 of 1 a Identify the claim and state Ho and Ha Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round OA No more than of adults in the country would travel into space on a commercial flight if they could afford it OB of adults in the country would travel into space on a commercial flight if they could afford it OC At least of adults in the country would travel into space on a commercial flight if they could afford it OD The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not A research center claims that 31 of adults in a certain country would travel into space on a commercial flight if they could afford it In a random sample of 1200 adults in that country 35 say that they would travel into space on a commercial flight if they could afford it At a 0 10 is there enough evidence to reject the research center s claim Complete parts a through d below Save

Test the claim about the population mean u at the level of significance a Assume the population is normally distributed Claim 5215 x 0 10 Sample statistics x 5317 s 5949 n 53 What are the null and alternative hypotheses Ho Ha Type integers or decimals Do not round HE

Decide whether the normal sampling distribution can be used If it can be used test the claim about the population proportion p at the given level of significance a using the given sample statistics Claim p 0 23 a 0 10 Sample statistics p 0 22 n 100 A No because nq is less than 5 B Yes because both np and nq are greater than or equal to 5 OC No because np is less than 5 OD Yes because pq is greater than a 0 10 State the null and alternative hypotheses A Ho p 0 23 H p 0 23 B Ho p 0 23 Ha p 0 23 G Points 0 4 of 1 OC Ho p 0 23 Ha p 0 23 OD The test cannot be performed Determine the critical value s Select the correct choice below and if necessary fill in the answer box to complete your choice A The critical value s is are Round to two decimal places as needed Use a comma to separate answers as needed formed Save

K O Points 0 of 1 Use technology to help you test the claim about the population mean at the given level of significance a using the given sample statistics Assume the population is normally distributed Claim us 1200 a 0 04 o 198 63 Sample statistics x 1219 75 n 250 Identify the null and alternative hypotheses Choose the correct answer below OA Ho uz 1219 75 H 1219 75 OC Ho 1219 75 Haus 1219 75 Part 1 of 4 OE Ho H21200 Ha 1200 OB Ho us1219 75 Ha 1219 75 OD Ho 1200 Ha 1200 OF Ho 1200 Haus 1200

a Identify the null hypothesis and alternative hypothesis OA Ho H 3 1 Ha 3 1 Part 1 of 4 A nutritionist claims that the mean tuna consumption by a person is 3 1 pounds per year A sample of 50 people shows that the mean tuna consumption by a person is 2 9 pounds per year Assume the popule standard deviation is 1 06 pounds At a 0 05 can you reject the claim OD Ho M 2 9 Ha 2 9 OB Ho 2 9 Ha 2 9 Points 0 of 1 OE Ho H 3 1 Ha 3 1 OC Ho H 3 1 Ha 3 1 Save OF Ho 29 H 2 9

Univariate Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis If a hypothesis test is performed how should you interpret a decision that a rejects the null t or b fails to reject the null hypothesis A researcher claims that more than 81 of people had at least one health care visit in the past year Does the claim represent the null hypothesis or the alternative hypothesis Since the claim does not contain a statement of equality it represents the alternative hypothesis a How should you interpret a decision that rejects the null hypothesis There is sufficient evidence to support the claim that more than 81 of people had at least one health care visit in the past year b How should you interpret a decision that fails to reject the null hypothesis There is evidence to insufficient the claim that more than 81 of people had at least one health care visit in the past year

Does the claim represent the null hypothesis or the alternative hypothesis V a statement of equality it represents the Since the claim Part 1 of 3 Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis If a hypothesis test is performed how should you interpret a decision that a rejects the null hypothesis or b fails to reject the null hypothesis A scientist claims that the mean incubation period for the eggs of a species of bird is at least 46 days contains does not contain Points 0 of 1 hypothesis Save

K A baseball team claims that the mean length of its games is at most 1 5 hours State Ho and H in words and in symbols Then determine whether the hypothesis test for this claim is lett talled right tailled or two tailed Explain your reasoning State the null hypothesis in words and in symbols Choose the correct answer below A The null hypothesis expressed in words is the mean length of a baseball team s games is 1 5 hours The null hypothesis is expressed symbolically as Ho p 1 5 OB The null hypothesis expressed in words is the mean length of a baseball team s games is not 1 5 hours The null hypothesis is expressed symbolically as H 1 5 c The null hypothesis expressed in words is the mean length of a baseball team s games is at most 1 5 hours The null hypothesis is expressed symbolically as Ho p 15 OD The null hypothesis expressed in words is the mean length of a baseball team s games is at least 1 5 hours The null hypothesis is expressed symbolically as Ho p215 State the alternative hypothesis in words and in symbols Choose the correct answer below CZB OA The alternative hypothesis expressed in words is the mean length of a baseball team s games is not 1 5 hours The alternative hypothesis is expressed symbolically as H 1 5 OB The alternative hypothesis expressed in words is the mean length of a baseball team s games is 1 5 hours The alternative hypothesis is expressed symbolically as H p 15 OC The alternative hypothesis expressed in words is the mean length of a baseball team s games is less than 1 5 hours The alternative hypothesis is expressed symbolically as H 15 D The alternative hypothesis expressed in words is the mean length of a baseball team s games is more than 1 5 hours The alternative hypothesis is expressed symbolically as H 1 5 The hypothesis test is left tailed because the alternative hypothesis contains

A baseball team claims that the mean length of its games is at most 1 5 hours State Ho and Ha In words and or two tailed Explain your reasoning State the alternative hy State the null hypothesis in words and in symbols Choose the correct answer below OA The null hypothesis expressed in words is the mean length of a baseball team s games is 1 5 hours The null hypothesis is expressed symbolically as Hg 1 5 B The null hypothesis expressed in words is the mean length of a baseball team s games is not 1 5 hours The null hypothesis is expressed symbolically as Ho p 1 5 The null hypothesis expressed in words is the mean length of a baseball team s games is at most 1 5 hours The null hypothesis is expressed symbolically as Ho 1 5 D The null hypothesis expressed in words is the mean length of a baseball team s games is at least 1 5 hours The null hypothesis is expressed symbolically as Ho 1 5 A The alternative B The alternative C The alternative D The alternative The hypothesis test is right tailed two tailed left tailed in symbols Choose the correct answer below because the Symbols in words is the mean length of a baseball team s games is not 1 5 hours The alternative hypothesis is expressed symbolically as H 1 5 in words is the mean length of a baseball team s games is 1 5 hours The alternative hypothesis is expressed symbolically as H 1 5 in words is the mean length of a baseball team s games is less than 1 5 hours The alternative hypothesis is expressed symbolically as H 1 5 in words is the mean length of a baseball team s games is more than 1 5 hours The alternative hypothesis is expressed symbolically as Ha p 1 5 hypothesis contains Oleor all Check ans

K A refrigerator manufacturer claims that the mean life of its competitor s refrigerators is less than 16 years You are asked to perform a hypothesis test to test this claim a How would you write the null and alternative hypothesis if you represent the manufacturer and want to support the claim b How would you write the null and alternative hypothesis if you represent the competitor and want to reject the claim a Ho Ha 16 16

KE Use technology to help you test the claim about the population mean at the given level of significance a using the given sample statistics Assume the population is normally distributed Claim us 1200 a 0 04 o 198 63 Sample statistics x 1219 75 n 250 Identify the null and alternative hypotheses Choose the correct answer below OA Ho 21219 75 Ha 1219 75 OC Ho Ha 1219 75 1219 75 OE Ho 21200 Ha 1200 4 OB Ho 1219 75 H 1219 75 OD Ho 1200 H 1200 OF Ho 1200 Haus 1200

K Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis If a hypothesis test is performed how should you interpret a decision that a rejects the null hypothesis or b fails to reject the null hypothesis A researcher claims that more than 81 of people had at least one health care visit in the past year Part 1 of 3 Does the claim represent the null hypothesis or the alternative hypothesis Since the claim a statement of equality it represents the does not contain contains hypothesis

K Find the P value for a left tailed hypothesis test with a test statistic of z 1 68 Decide whether to reject Ho if the level of significance is a 0 05 P value Round to four decimal places as needed H

The P value for a hypothesis test is shown Use the P value to decide whether to reject Ho when the level of significance is a a 0 01 b a 0 05 P 0 0528 a Do you reject or fail to reject Ho at the 0 01 level of significance OA Fail to reject Ho because the P value 0 0528 is less than a 0 01 B Fail to reject Ho because the P value 0 0528 is greater than 0 01 OC Reject Ho because the P value 0 0528 is greater than 0 01 OD Reject Ho because the P value 0 0528 is less than a 0 01 b Do you reject or fail to reject Ho at the 0 05 level of significance OA Fail to reject Ho because the P value 0 0528 is greater than a 0 05 OB Fail to reject Ho because the P value 0 0528 is less than a 0 05 OC Reject Ho because the P value 0 0528 is less than a 0 05 P Reject Ho because the P value 0 0528 is greater than a 0 05

K State Ho and H in words and in symbols Then determine whether the hypothesis test is left tailed right tailed or two tailed Explain your reasoning Sketch a normal sampling distribution and shade the area the P value A report claims that lung cancer accounts for 21 of all cancer diagnoses SZERD State the null hypothesis in words and in symbols The null hypothesis expressed in words is the proportion of cancer diagnoses attributable to lung cancer Type integers or decimals Do not round Y is less than IS is at least is not The null hypothesis is expressed symbolically as Ho p is more than is at most 4

For the statement below write the claim as a mathematical statement State the null and alternative hypotheses and identify which represents the claim According to a recent survey 29 of college students used their own income or savings to pay for college A p 0 29 D p 0 29 Choose the correct null and alternative hypotheses below A Ho p 0 29 Ha p 0 29 OD Ho p 0 29 Ha p20 29 O Identify which is the claim The null hypothesis Ho p 0 29 is the claim The alternative hypothesis Ha p 0 29 is the claim The null hypothesis Ho p 0 29 is the claim The null hypothesis Ho p 0 29 is the claim The alternative hypothesis Ha p0 29 is the claim The alternative hypothesis Ha p 0 29 is the claim B p20 29 E p 0 29 B Ho p 0 29 Hp 0 29 E Ho p 0 29 Ha p 0 29 h IEE OC p 0 29 OF p 0 29 OC Ho p20 29 H P 0 29 OF Ho p 0 29 Ha p 0 29

OA Ho H 32 Ha 32 34 28 a Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H OD Ho H 32 Ha 32 You receive a brochure from a large university The brochure indicates that the mean class size for full time faculty is fewer than 32 students You want to test this claim You randomly select 18 classes taught by full time faculty and determine the class size of each The results are shown in the table below At a 001 can you support the university s claim Complete parts a through d below Assume the population is normally distributed 28 33 Part 1 of 4 26 34 32 31 OB Ho 32 As Ha 232 OE Ho H232 Ha 32 33 28 970 6 58 01 38 points 43 24 Points 0 of 1 28 28 OC Ho H 32 Ha 32 OF HO H 32 H 32 Save 22 25