Statistics Questions and Answers

Let xrepresent the humber of people in a restaurant that has a Capacity of 200 Is the random variable discrete or continuous

28 p value lettailed test 7 2 00 reject H level of sig 9 0 10

A laptop claims the mean battery life for the model Is less than 6 hrs write as a null alternative hypothesis

738 use credit cards randomly select lo use the binomial pdf func that to find probability is 7 exactly

le 1 Sampling Design K OA stratified Ques Identify the sampling techniqu Every fifth person boarding a p

e 1 Sampling Design K Question 27 1 2 18 Identify the level of measurement of the data listed horizontal axis in the graph

SD 7 minutes use normal cdf function to find probability that the time is less than 19 minutes A 0 103 B 0 498 C 0 716 D 0 284

Question 2 Identify the data set s level of measu numbers of touchdowns scored by a 2 5 4 3 3

6 A simple random sample of 28 wait times while pumping gas at a gas station has a standard deviation of 20 seconds The test statistic for the random sample is 22 314 when found to test a claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds Using a 0 05 significance level find the critical value and state the initial conclusion 1 point 016 151 because the test statistic is greater than the critical value there is not sufficient evidence to support the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds 16 151 because the test statistic is less than the critical value the test supports the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds 040 113 because the test statistic is less than the critical value the test fails to reject the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds 40 113 because the test statistic is greater than the critical value there is not sufficient evidence to support the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds

A population of rabbits oscillates 22 above and below an average of 149 during the year hitting the lowes value in January t 0 Find an equation for the population P in terms of the months since January t P t What if the lowest value of the rabbit population occurred in April instead P t

Abe deposits 50 each month for 30 years in an account with an APR of 3 5 Beatrice deposits 100 each month for 15 years in an account with an APR of 3 5 A Abe deposits and Beatrice deposits OB Abe and Beatrice both deposit oiht s possible a Verify that Abe and Beatrice deposit the same amount of money during the stated periods of time How much do they deposit b Use technology to compute the accumulated balance in each account and explain the results b The accumulated balance in Abe s account is Round to the nearest cent as needed The accumulated balance in Beatrice s account is Round to the popron cont noodod Submit quiz different from Abe s deposit ev 26 5pr 261

Select the scenario which is an example of volunt Answer

ZUZ3 Statistics Populations T Medina Viveros Alexander The box and whisker plot shows the time Time Taken to Solve a Puzzle 11 Group I Group II 48 50 50 52 54 56 58 60 62 64 66

Medina Viveros Alexander The box and whisker plot shows the scores in Scores in Science Class A Class B 11 13 15 17 19 21 Based on the distribution of data which obse O The median score of both the classes is O The minimum score of both the classes

Which of the following phrases best descr Answer

The grade point averages GPA for 12 randomly selected college students are shown on the right Complete parts a through c below Assume the population is normally distributed a Find the sample mean Round to two decimal places as needed b Find the sample standard deviation 5 Round to two decimal places as needed c Construct a 90 confidence interval for the population mean A 90 confidence interval for the population mean is CD S 562 2 5 ON N 1 6 2 2 02 3 2 0 8 2334 1 3 2 4 27 WODN 053 4 0 3 5 3 3

O O O You are given the sample mean and the population standard deviation Use this information to construct the 90 and 95 confidence intervals for the population mean Interpret the results and compare the widths of the confidence intervals If convenient use technology to construct the confidence intervals A random sample of 55 home theater systems has a mean price of 147 00 Assume the population standard deviation is 15 90 Construct a 90 confidence interval for the population mean The 90 confidence interval is Round two decimal places as needed Construct a 95 confidence interval for the population mean The 95 confidence interval is Round to two decimal places as needed Interpret the results Choose the correct answer below OA With 90 confidence it can be said that the population mean price lies in the first interval With 95 confidence it can be said that the population mean price lies in the second interval The 95 confidence interval is narrower than the 90 B With 90 confidence it can be said that the population mean price lies in the first interval With 95 confidence it can be said that the population mean price lies in the second interval The

Use the standard normal table to find the z score that corresponds to the given percentile If the area is not in the table use the entry closest to the area If the area is halfway between two entries use the z score halfway between the corresponding z scores If convenient use technology to find the z score P15 Click to view page 1 of the table Click to view page 2 of the table The z score that corresponds to P75 1

lect all of the following indicators which w swer

In a recent survey 64 of the community favored building a health center in their neighborhood If 14 citizens are chosen find the probability that exactly 8 of them favor the building of the health center Round to the nearest three decimal places A 0 184 OB 0 571 C 0 640 D 0 058

The following data represent the number of games played in each series of an annual tournament from 1923 to 2018 Complete parts a through d below x games played 4 5 Frequency 6 7 18 19 19 39 a Construct a discrete probability distribution for the random variable X x games played P x 4 5 6 7 Round to four decimal places as needed

The graph of the discrete probability o the right represents the number of ive births by a mother 49 to 54 years old who had a live birth in 2015 Complete parts a through d below SONY Probability 1 0 30 025 0 20 0 15 0 10 0 05 0 00 Round to one decimal place as needed 0 0239 N 0 109 0 101 9922 0 032 3 5 6 Number of Live Births 7 8 0 117 Type an integer or a decimal d If a 49 to 54 year old mother who had a live birth in 2015 is randomly selected how many live births would you expect the mother to have had Q

The diagram below is an illustration Answer f the empirical rule Select the missing label for the di 0 9987

Use n 6 and p 0 6 to complete parts a through d below 1 6 d Draw a graph of the probability distri Which graph below shows the probabil A AP X 0 5 to the car parts as fotos j 0 25 0 36 O B AP x 0 5 0 25 bimodal its shape skewed left symmetric The binomial probability distribution is skewed left skewed right AP x 0 3 10 Q Q O D 0 5 AP x 0 25

Use n 6 and p 0 6 to complete parts a through d below 6 0 0467 Round to four decimal places as needed b Compute the mean and standard deviation of the random variable using x Ex P x a ox x P x H Hx 3 6 Round to two decimal places as needed ox 1 2 Round to two decimal places as needed c Compute the mean and standard deviation using x np and ox np 1 p Hx 3 6 Round to two decimal places as needed ox Round to two decimal places as needed

Suppose a life insurance company sells a 200 000 1 year term life insurance policy to a 20 year old female for 200 According to the National Vital Statistics Report 58 21 the probability that the female survives the year is 0 999544 Compute and interpret the expected value of this policy to the insurance company The expected value is 108 8 Round to the nearest cent as needed Which of the following interpretations of the expected value is correct Select the correct choice below and fill in the answer box to complete your choice Round to the nearest cent as needed A The insurance company expects to make a profit of on every 20 year old female it insures for 1 month The insurance company expects to make a maximum profit of for 1 year B OC The insurance company expects to make a profit of on every 20 year old female it insures on every 20 year old female it insures for 1 year

Based on the graph above which statement best describes the graph Answer

Polar Bear Frozen Foods manufactures frozen Fre variable Assume X the weight of French fries ha standard deviation for the weight of a package R

For this assignment imagine that you have developed a medicine called fohkusbehter that may help treat attention deficit disorder ADD To test the medicine you will conduct an experiment in which some volunteers receive fohkusbehter and others receive a placebo Then you will test their attention by seeing how many details they can remember from a boring video You recruit a random sample of 100 participants who have been diagnosed with ADD Participants are randomly assigned to receive either the real drug or a placebo Then the participants watch a boring video about the migration of honeybees After the video you give them a quiz that has 14 questions about the video Higher quiz scores reflect better concentration during the video 1 State your null and alternative hypotheses in plain language To test your alternative hypothesis will you be using a one tailed or a two tailed test Explain your choice

The mean of a set of credit scores is 4 690 and a 14 Which statement must be true about 2894 O Z694 is within 1 standard deviation of the mean Z694 is between 1 and 2 standard deviations of the mean Z694 is between 2 and 3 standard deviations of the mean O Z694 is more than 3 standard deviations of the mean

A teacher asks students to list the math lessons they learned on nine random school days in the past month She evaluates the students performance on this assignment to get a general picture of how well students are taking not This teacher s method is an example of O systematic random sampling O simple random sampling O convenience sampling Ostratified sampling

The mean game scores and standard deviations of four seasons of a football team are given below Season 2005 2006 2007 2008 Mean 19 21 12 9 Standard Deviation 3 5 2 8 1 0 4 0 Which statement must be true O The game scores of season 2006 have a greater spread than the game scores of season 2008 The game scores of season 2007 have a greater spread than the game scores of season 2005 The game scores of season 2006 have a greater spread than the game scores of season 2005 The game scores of season 2005 have a greater spread than the game scores of season 2006

The mean test scores with standard deviations of four English classes are given below Class Mrs Jones Mrs Rijo Mr Phan Mrs Scott Mean 89 82 73 90 Standard Deviation 1 9 1 4 3 4 6 1 Which statement is most likely to be true The scores of Mrs Scott s class are the closest to the class mean O The scores of Mr Phan s class are the closest to the class mean The scores of Mrs Jones s class are the closest to the class mean O The scores of Mrs Rijo s class are the closest to the class mean

The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider Average Monthly Cost 125 120 Average Monthly Electric Cost 2 Company How could the graph be redrawn so that the difference in monthly electric cost does not appear as great The scale on the y axis could be changed to 0 150 The scale on the y axis could be changed to 100 120

The stem and leaf plot below shows the number of pages each student in a class read the previous evening 0 0058 1 235889 2 246777 3 356 4 246 5 7 Which statement is true about the data set Its median is greater than its mode It has a range of 52 pages The value of the first quartile is 13 The data is symmetric

A high school student volunteers to present a report to the administration about the types of lunches students pref He surveys members of his class and records their choices What type of sampling did the student use O systematic random sampling O voluntary sampling O convenience sampling O stratified sampling

1 There are 54 skittles in an average oz bag with a standard deviation of 2 skittles Draw the normal distribution curve 2 points and answe the following questions Show your work a If they tested 3000 bags of skittles how many of the bags had between 52 and 56 skittles in them 1 point b If they tested 3500 bags of skittles how many of the bags had between 54 and 56 skittles in them 1 point c If they tested 2000 bags of skittles how many of the bags had between 50 and 56 skittles in them 1 point

1 The members of Photography Club at Manchester High measured their heights and came up with a mathematical way to calculate wh set up their camera angles to best serve the majority of students they would be photographing Just by measuring the members of the the came up with a median height of 5 8 with a standard deviation of 3 inches Draw a normal distribution curve 2 point and be sure show your work for your calculations a How often what percent of the time would students be between 5 5 and 5 11 1 point b How often what percent of the time would students be between 5 5 and 6 2 1 point c If the club measured the heights of 2000 students how many would be between 5 2 and 6 5 1 point

Suppose that a poll taken 10 years ago found that 69 of parents spank their children Suppose a recent poll of 150 adults with children finds that 87 indicated that they spank their children Assuming parents attitude toward spanking has not changed since the original poll how many of the 150 parents surveyed would be expected to spank their children Do the results of the survey suggest that parents attitude toward spanking may have changed since the original poll Why We would expect parents to spank their children Round to the nearest whole number as needed www

Assets Current assets Cash Total Accounts receivable 66 781 Inventory 113 146 Fixed assets Net plant and equipment Balance Sheets as of December 31 2018 and 2019 2018 2019 Total assets 72 718 91 489 87 139 177 607 252 645 356 235 659 047 590 128 911 692 Liabilities and Owners Equity Current liabilities Accounts payable Notes payable Total Long term debt Owners equity Common stock and paid in Accumulated retained surplus earnings Total 946 363 Total liabilities and owners equity 2018 2019 185 422 193 111 80 520 132 088 265 942 325 199 228 000 164 750 227 000 227 000 190 750 229 414 417 750 456 414 911 692 946 363

Consider the geometric and traffic characteristics shown below Approach Width Peak hour Approach Volumes Left Turn Through Movement Right Turn Conflicting Pedestrian Volumes PHF Assume the following saturation flows Through lanes Through right lanes Left lanes Left through lanes Left through right lanes North 56 ft 173 460 130 900 0 95 1 600 veh h In 1 400 veh h In 1 000 veh h In 1 200 veh h In 1 100 veh h In S S South 56 ft S 113 413 125 1 200 0 95 East 68 ft 208 603 159 1 200 0 95 Determine a suitable signal phasing system and phase lengths in s for the intersection using the Webster method Enter t sum of green and yellow times for each phase and afterwards the total cycle length Ensure that enough green time is prov to allow for pedestrian movement Assume each of the four approaches is divided into a left lane a through lane and a thro right lane Assume the lost time due to acceleration and deceleration during each phase is 3 5 seconds and the time lost du the red clearance interval between each phase is 1 5 seconds Also assume the curb to curb distance is 56 ft when pedestr travel during the N S phases and 68 ft when pedestrians travel during the E W phases Finally assume pedestrians walk at speed of 3 5 ft s through a crosswalk of width 10 ft Phase 1 N S left turn Phase 2 N S through through right turn Phase 3 E W left turn West 68 ft 174 556 168 900 0 95

onsider the geometric and traffic characteristics shown below Approach Width Peakhour Approach Volumes Left Turn Through Movement Right Turn Conflicting Pedestrian Volumes PHF ssume the following saturation flows Through lanes Through right lanes Left lanes Left through lanes Left through right lanes 1 600 veh h In 1 400 veh h In 1 000 veh h In 1 200 veh h In 1 100 veh h In North 56 ft 133 420 140 900 0 95 South East 56 ft 68 ft 73 168 373 563 135 169 1 200 1 200 0 95 0 95 he Webster method can be used to find the phase lengths and total cycle length for the intersection When calculating the ph engths ensure that enough green time is provided to allow for pedestrian movement Assume each of the four approaches is ivided into a left lane a through lane and a through right lane Assume the lost time due to acceleration and deceleration dur ach phase is 3 5 seconds and the time lost due to the red clearance interval between each phase is 1 5 seconds Also assum e curb to curb distance is 56 ft when pedestrians travel during the N S phases and 68 ft when pedestrians travel during the E hases Finally assume pedestrians walk at a speed of 3 5 ft s through a crosswalk of width 10 ft S West 68 ft 134 516 178 900 0 95 se the phase lengths and total cycle length to determine the queue service length in s for each phase assuming the proporti f vehicles arriving during the green interval is 0 70 for the north and south approaches and 0 90 for the east and west pproaches hase 1 N S left turn mase 2 N S through through right turn S

Question 17 The school paper published the results of a survey among grade eight students with regards to their favorite subject Number of Students 120 100 80 60 40 20 0 Favorite Subject of Grade 8 Students Science Mathematics Subject Which of the following statements about the stack plot is true Most of the students chose English as their favorite subject More boys chose math as their favorite subject than science More girls than boys chose English as their favorite subject O More than half the girls chose science as their favorite subject English Girls Boys

The formula for the standard deviation of a sample is S X X n 1 1 Select the true statement for the following data set that has a mean of 8 4 6 6 6 9 9 12 12 Answer choices are rounded to the hundredths place O The variance is 2 98 and the standard deviation is 8 86 O The variance is 7 50 and the standard deviation is 2 98 O The variance is 8 86 and the standard deviation is 2 98 The variance is 8 86 and the standard deviation is 7 50

Which of the following statements about a positively skewed distribution is true O The distribution of the data tails to the right of the median O The distribution of the data features two modes O The distribution of the data tails to the left of the median O The mean median and mode have the same values

In which of these cases should mode be used O When the data is represented using interval scale O When the data is represented using ratio scale O When the data is qualitative and we talk about the most frequent category O When the data has extreme values

Dave drives to work While driving the car over nine days he observes his daily average speed and lists it in the table below 1 2 3 4 5 6 7 8 9 Day 45 62 44 70 59 66 54 63 67 The median speed at which Dave drove to work was O 59 miles per hour O 63 miles per hour Average Speed MPH O 62 miles per hour

honda is wondering if there is an association between the number of hours she studies per week and the number of semester credits she is enrolled in The information is shown in the able below Study Table Study Hours y 9 87 6 5 4 3 2 1 0 0 2 4 6 8 Number of Semester Credita 10 12 X

For a left tailed test the critical value of z so that a hypothesis test would reject the null hypothesis at 10 significance level would be Answer choices are rounded to the hundredths place O 2 33 O 1 28 O 1 65

Which statement about correlation is FALSE O Correlation is the degree to which the two variables of a data set resemble each other Correlation is used to define the variables of only non linearly related data sets The correlation of a data set can be positive negative or 0 Correlation between the variables of the data set can be measured