Statistics Questions

The life expectancy at birth of a person born in year x is approximated by the function f x 14 5 12 3 In x where x 0 corresponds to the year 1910 If this function remains accurate when will life expectancy at birth be 72 9 years O In the year 2034 O In the year 2030 O In the year 2026 O In the year 2038

he following data sets represent simple random samples from a population whose mean is 100 omplete parts a through e below ata Set I 06 ata Set II 06 4 01 ata Set III 06 4 01 03 122 122 87 86 122 87 86 77 92 92 110 85 92 110 85 88 124 124 85 99 124 85 99 104 91 91 110 91 110 89 94 75 75 117 75 117 110 119 77 77 94 77 94 117 Full data set 109 109 123 109 123 92 b For each data set construct a 95 confidence interval about the population mean Construct a 95 confidence interval for data set 1 The lower bound is The upper bound is Round to two decimal places as needed Construct a 95 confidence interval for data set II The lower bound is The upper bound is Round to two decimal places as needed Construct a 95 confidence interval for data set III The lower bound is The upper bound is Round to two decimal places as needed c What impact does the sample size n have on the width of the interval OA The sample size has no impact on the width of the interval OB As the sample size increases the width of the interval decreases OC As the sample size increases the width of the interval increases d Suppose that the data value 106 was accidentally recorded as 061 For each data set construct a 95 confidence interval using the misentered data Construct a 95 confidence interval for data set 1 The lower bound is The upper bound is Round to two decimal places as needed Co 0500

In a clinical trial of a drug intended to help people stop smoking 133 subjects were treated with the drug for 12 weeks and 15 subjects experienced abdominal pain If someone claims that more than 8 of the drug s users experience abdominal pain that claim is supported with a hypothesis test conducted with a 0 05 significance level Using 0 16 as an alternative value of p the power of the test is 0 96 Interpret this value of the power of the test The power of 0 96 shows that there is a chance of rejecting the experience abdominal pain is actually then there is a chanc Type integers or decimals Do not round null hypothesis of p when the true proportion is actually That is if the proportion of users who m that the proportion of users who experience abdominal pain is than 0 08

Question 1 of 14 1 Use the sample data set 7 2 9 5 10 3 11 6 13 5 to calculate x x y y Answer Continue Reset answer

The weights of the chocolate in Hershey Kisses are normally distributed with a mean of 4 5338 g and a standard deviation of 0 1039 g a For the bell shaped graph of the normal distribution of weights of Hershey Kisses what is the area under the curve b What is the value of the median c What is the value of the mode d What is the value of the variance a For the bell shaped graph of the normal distribution of weights of Hershey Kisses what is the area under the curve Type an integer or a decimal Do not round

In a random sample of 34 criminals convicted of a certain crime it was determined that the mean length of sentencing was 53 months with a standard deviation of 5 months Construct and interpret a 90 confidence interval for the mean length of sentencing for this crime Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 Click here to view the table of critical t values Select the correct choice below and fill in the answer boxes to complete your choice Use ascending order Round to one decimal place as needed A We can be 90 confident that the mean length of sentencing for the crime is between and months B 90 of the sentences for the crime are between OC There is a 90 probability that the mean length of sentencing for the crime is between and D months and months

A simple random sample of size n 350 individuals who are currently employed is asked if they work at home at least once per week the 350 employed individuals surveyed 26 responded that they did work at home at least once per week Construct a 99 confidence interval for the population proportion of employed individuals who work at home at least once per week The lower bound is The upper bound is Round to three decimal places as needed Round to three decimal places as needed

In a poll 51 of the people polled answered yes to the question Are you in favor of the death penalty for a person convicted of murder The margin of error in the poll was 2 and the estimate was made with 96 confidence At least how many people were surveyed Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 The minimum number of surveyed people was Round up to the nearest integer

14 Use the following information to calculate MSE x 8 64 x 6 42 x3 7 82 n 14 n 16 n 18 s 4 4 s 3 6 s 3 5 6 Round your answer to the nearest thousandths Answer Continue Reset answer

For 100 births P exactly 58 girls 0 0223 and P 58 or more girls 0 067 Is 58 girls in 100 births a significantly high number of girls Which probability is relevant to answering that question Consider a number of girls to be significantly high if the appropriate probability is 0 05 or less The relevant probability is so 58 girls in 100 births GEILE a significantly high number of girls because the relevant probability is 0 05

13 Use the following information to calculate MST x 5 5 x 4 4 X3 6 2 n 14 n 14 n3 16 s 4 2 s 3 8 s 3 5 4 Round your answer to the nearest hundredths Answer Continue Reset answ

Is 0 627 a strong linear correlation Why or why not

Calculate the correlation coefficient for the relationship of interval variables X and Y in DATA SET A Make sure you show all of your work and demonstrate the use of the formulas DATA SET A X 5 10 15 5 Y 10 5 10 15

What percent of a standard normal distribution N 0 a 1 is found in each region Be sure to draw a graph Round your answers to the nearest whole number a Z 1 31 b Z 1 49 d Z 2 3 c 0 39 Z 1 6 T 1

Is the random variable given in the accompanying table discrete or continuous Explain The random variable given in the accompanying table is Number of Girls x P x 0 0 063 0 250 0 375 0 250 0 063 1 2 3 4 because C D

The test statistic of z 1 51 is obtained when testing the claim that p 0 473 This is a two tailed test Using a 0 01 significance level complete parts a and b Click here to view the standard normal distribution table for negative z scores Click here to view the standard normal distribution table for positive z scores a Find the critical value s Select the correct choice below and fill in the answer box es within your choice Round to two decimal places as needed A There is one critical value the critical value is B There are two critical values the lower critical value is 2 58 and the upper critical value is 2 58 b Should we reject Ho or should we fail to reject Ho A Ho should not be rejected since the test statistic is in the critical region B Ho should not be rejected since the test statistic is not in the critical region OC Ho should be rejected since the test statistic is not in the critical region D Ho should be rejected since the test statistic is in the critical region

na study of pulse rates of men a simple random sample of 146 men results in a standard deviation of 11 3 beats per minute The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute If the range rule of thumb is applied to that normal range the result is a standard deviation of 10 beats per minute Use the sample results with a 0 05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute see the accompanying StatCrunch display for this test What do the results indicate about the effectiveness of using the range rule of thumb with the normal range fro 60 to 100 beats per minute for estimating o in this case Assume that the simple random sample is selected from a normally distributed population Click the icon to view the StatCrunch display Let a denote population standard deviation of the pulse rates of men in beats per minute Identify the null and alternative hypotheses Hp 0 10 H 0 10 Type Integers or decimals Do not round Identify the test statistic Round to two decimal places as needed

In a particular country 21 7 of the country s population is infected with HIV For those who carry HIV a particular test is 99 1 accurate For those who do not carry HIV the test is 92 1 accurate If an individual from the country has tested positive what is the probability that he carries HIV 0 230

Scatter Plot Here Texts Received VS Texts Sent 400 300 1 76x 18 6 R 0 627

The television show Pretty Betty has been successful for many years That show recently had a share of 30 meaning that among the TV sets in use 30 were tuned to Pretty Betty Assume that an advertiser wants to verify that 30 share value by conducting its own survey and a pilot survey begins with 15 households that have TV sets in use at the time of a Pretty Betty broadcast Round solutions to four decimal places if necessary Find the probability that none of the households are tuned to Pretty Betty P none Find the probability that at least one household is tuned to Pretty Betty P at least one Find the probability that at most one household is tuned to Pretty Betty P at most one

collect 600 Complete parts a through e 597 Type an integer or a decimal Do not round d Find the expected value for a 3 bet 2 4 Type an integer or a decimal Do not round e If you bet 3 on a certain casino game the expected value is 3 5c Which bet is better in the sense of producing a higher expected value a 3 bet on the state s lottery or a 3 bet on the casino game Explain OA Neither bet is better because both games have the same expected value OB The state s lottery is a better bet because it has a larger expected value OC The casino game is a better bet because it has a larger expected value OD It is impossible to compare the values because they have different units

Determine whether the given experiment results in a binomial experiment If not give the reason why not Rolling a single die 34 times keeping track of the number of 3s that are rolled Not binomial there is not a fixed number of trials Not binomial there are more than two outcomes for each trial Not binomial the trials are not independent O Not binomial for more than one of the reasons given in the above answer choices O This procedure results in a binomial distribution

Which of the following random variables are continuous variables and which are discrete a The amount of electricity required to power a 3 bedroom home O discrete O continuous b The number of lightning strikes in Everglades National Park on a given day O discrete O continuous c The number of number of hatched eggs in Loggerhead turtle nests in St Lucie County O continuous O discrete d The length of each song in your playlist O discrete O continuous e The number of pets each student has O continuous O discrete

5 What are the two key pieces of information we need to know about a correlation

A normal distribution has a mean of 70 and a standard deviation of 6 Find the 2 score for a data value of 67 Round your answer to two decimal places

Question 6 of 14 How many units does the point 2 6 vertically deviate above the line y 2x 2 Answer Continue Reset answer

At I Love Food restaurant you can choose from 6 appetizers 15 entrees and 5 desserts How many three course meals can you order There are possible three course meals

There are 132 students in a large class Of them 44 are live off campus and 32 are economics majors total Of the 44 students who live off campus 8 are economics majors Suppose one student is randomly selected Calculate the following probabilities and determine if off campus and economics major are independent or dependent events Also determine if the events off campus and economics major are mutually exclusive or mutually non exclusive Round solutions to three decimal places if necessary P off campus P off campus economics major Therefore the events off campus and economics major are Select an answer The events off campus and economics major are Select an answer

The data from a recent test are organized by class rank and letter grade Use this information to calculate the following probabilities Round solutions to three decimal places if necessary A B C Freshman 8 9 20 18 10 11 Sophomore Total 26 19 31 If one student is chosen at random Find the probability that the student got an A P got an A Total 37 39 76 Find the probability that the student was sophomore and got a C P sophomore and C Find the probability that the student was freshman or got an C P freshman or C If one student is chosen at random find the probability that the student was sophomore given they got a A P sophomore

The probability that a randomly selected Floridian is a Florida native is 0 19 The probability that a randomly selected Floridian is a registered independent voter is 0 17 The probability that a randomly selected Floridian is a Florida native and a registered independent voter is 0 12 Calculate the following probabilities Round solutions to three decimal places if necessary Determine the probability that a randomly selected Floridian is a Florida native given the person is a registered independent voter P Florida native Independent Voter Determine the probability that a randomly selected Floridian is a registered independent voter given the person is a Florida Native

Sabrina buys a bag of cookies that contains 4 chocolate chip cookies 5 peanut butter cookies 4 sugar cookies and 7 oatmeal cookies What is the probability that Sabrina randomly selects a sugar cookie from the bag eats it then randomly selects an oatmeal cookie Round the solution to four decimal places if necessary P sugar cookie first and oatmeal cookie second

Suppose a test was recently taken by a group of students The grades and class rank of the students are summarized in the table below A B C Freshman 8 16 17 Sophomore 10 19 13 Total 27 29 27 Total 41 42 83 If one student is chosen at random determine the probability that the student was freshman or earned a C on the test Round the solution to three decimal places P freshman or C

Which of the following cannot be the probablity of an event 0 8 1 00 01 31 7 0 5 0 00 7

Construct a probability distribution table for the number of aces obtained when three cards are randomly drawn with replacement Enter the a values from smallest to largest x 0 O 1 o 2 3 0 P x 0 7865 o 0 1966 o 0 0164 o 0 0005 0 Determine the shape of the probability distribution of The probability distribution of a is Right skewed V or Submit Part Find the mean number aces drawn when three cards are randomly selected 0 2309 The mean of a discrete probability distribution is also notated b Select an answer SCXX6 n Y Part 3 of 8 Part 4 of 8 Part 5 of 8

2 Calculate the linear correlation coefficient using the sample data set 8 3 9 4 10 6 11 4 12 6 Round your answer to the nearest thousandths Answer

1 Use the sample data set 8 3 9 4 10 6 11 4 12 6 to calculate x x y y Answer

Which of the following is true of teams but not of groups Members are responsible for their own work only Members share a common purpose Members produce individual work projects Members have shared values

When discussing a conflict people may work together to make sure that both sides each get what they want In doing this a solution is found which works even better than the original ideas that each person had This style of conflict resolution is known as Collaborating Competing Avoiding Compromising

Gurpreet is very easy to get along with and is generally well liked Gurpreet considers it very important to get along with everyone and would rather give other people their own way instead of openly disagreeing with them According to the 5 Conflict Resolution Styles Thomas Kilman 1974 Gurpreet relies on this style of conflict resolution Competing Collaborating Avoiding Accommodating

pint A team is formed to complete a group project One of the team members often misses the team meetings and when they are present they do not speak up with ideas or contribute to the conversation This behavior is known as Social Facilitation Social Loafing Saving energy Social Inhibition

A team is working together to create a newsletter Members of the team agree to take on different roles including writing articles taking photographs editing the newsletter and completing the final formatting Each member is responsible for their own work This is an example of what type of teamwork Groupthink Cooperation Coordination Collaboration

oin It is important for a team to have a strong designated leader True False

Conflict is bad O True False

According to Belbin s Team Roles Belbin 1981 teams work best when different members take on different functions on the team Belbin identifies several different roles which are categorized as All 3 are Categories According To Belbin Delen

As a team comes together to accomplish a goal there is a normal process of getting to know one another and working through conflicts Once this is accomplished the team begins working together and help one another out in achieving the goal According to the Stages of Team Development Tuckman 1965 the process of working through initial conflicts is known as Performing Storming Forming Norming

5 Use the following information to calculate MSE x 10 86 x 11 34 x3 10 66 n 16 n 18 n3 18 s 4 4 s 3 8 s 3 5 4 Round your answer to the nearest thousandths Answer Continue Reset answer

4 What is the value of F2 15 0 025 Round your answer to the nearest thousandths Answer

If an orange tree sapling is planted it has a 50 chance of growing into a healthy and productive tree If 19 randomly selected saplings are planted answer the following Use technology or the binomial probability table to calculate the following probabilities Round solutions to four decimal places if necessary a Which is the correct wording for the random variable Or the probability that a randomly selected orange tree sapling grows into a healthy and productive W tree O the number of randomly selected orange tree sapplings that grow into a healthy and productive tree Oza randomly selected orange tree sapling Oz a randomly selected orange tree sapling that grows into a healthy and productive tree Oz grows into a healthy and productive tree Oz all orange tree sapplings that grow into a healthy and productive tree Oz the number of 19 randomly selected orange tree sapplings that grow into a healthy and productive tree b Pick the correct symbol V 19 c Pick the correct symbol V 0 5 d What is the probability that exactly 8 of them grow into a healthy and productive tree P x 8 e What is the probability that less than 8 of them grow into a healthy and productive tree P r 8 f What is the probability that more than 8 of them grow into a healthy and productive tree P z 8 g What is the probability that exactly 9 of them grow into a healthy and productive tree P x 9 h What is the probability that at least 9 of them grow into a healthy and productive tree P x 9 1 What is the probability that at most 9 of them grow into a healthy and productive tree P x 9

Consider a sample of 48 football games where 28 of them were won by the home team Use a 0 05 significance level to test the claim that the probability that the home team wins is greater than one half Identify the null and alternative hypotheses for this test Choose the correct answer below OA H p 0 5 H p 0 5 B H p 0 5 H p 0 5 OC H p 0 5 H p 0 5 D H p 0 5 H p 0 5 Identify the test statistic for this hypothesis test The test statistic for this hypothesis test is Round to two decimal places as needed

A certain drug is und to treat asthma Ianical trial of the drag 13 f 262 dbac xpand cher Chd on data from the manufacturer The