# Statistics Questions and Answers

Statistics

StatisticsA sample of 1300 computer chips revealed that 39 of the chips fail in the first 1000 hours of their use The company s promotional literature claimed that less than 42 fail in the first 1000 hours of their use Is there sufficient evidence at the 0 01 level to support the company s claim tate the null and alternative hypotheses for the above scenario swer He Tables Key Keyboard Sh

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StatisticsA supervisor records the repair cost for 17 randomly selected TVs A sample mean of 94 57 and standard deviation of 20 65 are subsequently computed Determine the 80 confidence interval for the mean repair cost for the TVs Assume the population is approximately normal Step 1 of 2 Find the critical value that should be used in constructing the confidence interval Round your answer to three decimal places

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StatisticsAccommodations Modifications that can be found on an IEP at least 3 Apply UDL Ways to Differentiate the classroom at least 3

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Statisticsa What numbers must probabilities be between b What must the sum of the probabilities in a probability model sum to

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StatisticsThe number of hours per week that the television is turned on is determined for each family in a sample The mean of the data is 35 hours and the median is 31 2 hours Twenty four of the families in the sample turned on the television for 20 hours or less for the week The 12th percentile of the data is 20 hours Step 3 of 5 Based on the given information determine if the following statement is true or false Answer Approximately 100 families turned on their televisions for less than 31 2 hours Tables KE Keyboard Sh E

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Statistics1 Listen points A 80 6 g sample of a nonelectrolyte is dissolved in 240 1 g of water The solution is to have a boiling point of 102 3 C What is the molar mass of the Kb for water is 0 510 C m determined compound

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Statistics196 196 1 196 2 196 3 196 4 196 5 196 6 196 7 ep 3 of 3 Was the average weight for this sample of orders closer to 196 pounds or 197 pounds hs swer 196 8 196 9 197

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StatisticsClass Small Car Small Car Small Car Small Car Midsize Car Midsize Car Midsize Car Midsize Car Small SUV Small SUV Small SUV Small SUV Midsize SUV Midsize SUV Midsize SUV Midsize SUV Type Hybrid Conventional Hybrid Conventional Hybrid Conventional Hybrid Conventional Conventional MPG Hybrid Conventional 37 28 44 32 27 23 32 28 Hybrid Conventional 20 Hybrid 25 29 21 22 20 Hybrid Conventional 19 23 At the a 0 05 level of significance test for significant effects due to class type and interaction Find the value of the test statistic for class Round your answer to two decimal places Find the p value for class Round your answer to three decimal places P value

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StatisticsThe scores of adults on an IQ test are approximately Normally distributed with mean 100 and standard deviation 16 Alysha scores 140 on such a test Her z score is about 1 33 2 50 6 25

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StatisticsThe seating accommodations on an Amtrak train Coach Business and First Class Identify the type of variable Categorical Quantitative Discrete Quantitative Continuous None of these

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StatisticsAn amusement park studied methods for decreasing the waiting time minutes for rides by loading and unloading riders more efficiently Two alternative loading unloading methods have been proposed To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride a factorial experiment was designed Use the following data to test for any significant effect due to the loading and unloading method the type of ride and interaction Use a 0 05 Method 1 Method 2 Roller Coaster Source of Variation Factor A method Factor B ride Interaction Error Total 40 42 50 52 Sum of Squares SSA SSB Step 1 This is a two factor factorial experiment since the amusement park has collected data for the different methods of loading and unloading passengers and also different types of rides Let factor A be the method of loading and unloading riders and let factor B be the type of ride The ANOVA table for this experiment will have the following form SSAB Type of Ride Screaming Demon SSE 53 45 52 42 Degrees of Freedom a 1 b 1 a 1 b 1 ab r 1 Log Flume SST 07 1 abr 1 50 46 45 47 Mean Square MSA MSB MSAB a MSE SSA a 1 SSB b 1 SSAB 1 b 1 SSE ab r 1 F F F F MSA MSE MSB MSE MSAB MSE

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StatisticsA manager at a college cafeteria surveys every 20th diner to determine what types of new cuisine they would like to see added in the future This is an example of what type of sampling C Cluster sampling Systematic sampling Stratified sampling Random sampling Convenience sampling

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StatisticsWhat type of bias is present in this situation A uniformed officer surveyed high school students about drinking alcohol Sampling bias Response bias Non response bias

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StatisticsConsider the following situation You want to determine if a newly designed reading program is effective in improving reading skills for elementary school students Please explain how you could use a stratified sampling approach to accomplish this

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StatisticsResearchers are curious if streets where cars can travel faster are noisier They randomly select 50 city blocks and record the average speed mph of the vehicles and measure the noise level decibel on the street What is the explanatory variable in this situation Country Average speed City blocks Noise level

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StatisticsYou may need to use the appropriate technology to answer this question The Scholastic Aptitude Test SAT contains three areas critical reading mathematics and writing Each area is scored on an 800 point scale A sample of SAT scores for six students follows Student 1 2 3 4 5 6 Critical Reading 526 594 465 561 438 428 Mathematics 534 590 464 566 478 458 Writing 530 586 445 553 428 422 a Using a 0 05 level of significance do students perform differently on the three areas of the SAT State the null and alternative hypotheses O Ho Not all the population means are equal Ha Reading Mathematics Writing

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StatisticsThe following data were obtained for a randomized block design involving five treatments and three blocks SST 450 SSTR 330 SSBL 65 Set up the ANOVA table Round your value for F t two decimal places and your p value to three decimal places Source of Variation Treatments Blocks Error Total Sum Degrees of Squares of Freedom Test for any significant differences Use a 0 05 State the null and alternative hypotheses O Ho Not all the population means are equal Ha H H H3 H4 H5 O Ho M H H3 H4 H5 Ha H1 H H3 H4 H5 Ho H1 H H3 H4 H5 H Not all the population means are equal Mean Square O Ho At least two of the population means are equal H At least two of the population means are different Hoi H H H3 H4 H5 Ha H H H3 H4 H5 F Find the value of the test statistic Round your answer to two decimal places Find the p value Round your answer to three decimal places nalue p value A

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StatisticsResearchers are curious if streets where cars can travel faster are noisier They randomly select 50 city blocks and record the average speed mph of the vehicles and measure the noise level decibel on the street What is the response variable in this situation Country City blocks Average speed Noise level

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StatisticsQuestion 8 0 5 points Saved 76 of U S states allow the sale of marijuana for medical purposes This statement represents a Statistic Parameter Question 9 0 5 points Saved A recent Gallup survey revealed that 41 of Americans would not consider buying an electric vehicle This statement represents a Statistic Parameter

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StatisticsIdentify the following as an experiment or observational study Researchers wanted to learn more about the therapeutic effects of paeoniflorin PF on irritable bowel syndrome in rats They randomly divided sixty male Sprague Dawley rats into either no drug low dose PF or high dose groups After 2 consecutive weeks the effect of PF on abdominal pain symptoms was assessed based on the abdominal withdrawal reflex score fecal water content and pathological changes in colon tissues Observational Study Experiment

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StatisticsQuestion 6 0 25 points Saved Fifteen randomly selected passengers on a flight are asked about the quality of the flight attendants service Identify the population The flight attendants that were on duty for that flight The fifteen randomly selected passengers All the passengers that were on that flight Question 7 0 25 points Saved Fifteen randomly selected passengers on a flight are asked about the quality of the flight attendants service Identify the sample The flight attendants that were on duty for that flight All the passengers that were on that flight The fifteen randomly selected passengers

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StatisticsA rocket is shot off from a launcher The accompanying table represents the height of the rocket at given times where x is time in seconds and y is height in feet Write a quadratic regression equation for this set of data rounding all coefficients to the nearest hundredth Using this equation find the height to the nearest foot at a time of 1 seconds Time in Seconds x Height in Feet y 294 451 692 879 1011 1170 1 1 6 2 6 3 4 4 2 5 2 english to spanish Copy Values for Calculator All

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Statisticsrepresent barrels of oil consumed by two countries Does the graph distort the data or does it depict the data fairly Why or why not If the graph distorts the data construct a graph that depicts the data fairly Does the grapn distort the data Why or why not Barrels millions 21 4 A Yes because 3D objects always distort the data in graphs OB No because the graph is technically correct c Yes because the graph incorrectly uses objects of volume to represent the data OD No because the proportions are accurate Oil Consumption 247 20 16 12 8 Millions of barrels If the graph does not depict the data fairly which graph below does O A A B Country 5 5 Country A Country B OB Barrels millions Oil Consumption 24 20 16 124 8 A B Country O C Barrels millions Oil Con 24 20 16 12 8 4 Co

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StatisticsThe following table displays round trip flight prices from 14 major U S cities to Atlanta and Salt Lake City Round Trip Cost Salt Lake City Departure City Cincinnati New York Chicago Denver Los Angeles Seattle Detroit Miami San Francisco Las Vegas Philadelphia Washington D C 292 60 Phoenix Atlanta 339 10 320 60 292 60 339 60 Dallas 360 60 383 60 309 60 415 60 250 60 538 60 456 60 358 60 332 90 570 10 355 60 465 60 X 218 60 X 312 60 297 60 472 60 619 40 512 60 524 20 380 60 160 60 268 60 a Compute the mean price for a round trip flight into Atlanta and the mean price for a round trip flight into Salt Lake City Round your answers to two decimal places Atlanta 356 51 Salt Lake City 401 24 458 60 Is Atlanta less expensive to fly into than Salt Lake City If so what could explain this difference O Yes Atlanta is generally farther than Salt Lake City to the departure cities O Yes half of the departure cities are close to Atlanta and the other half are near Salt Lake City Yes Atlanta is generally closer than Salt Lake City to the departure cities O No Atlanta is not less expensive to fly into than Salt Lake City b Compute the range variance and standard deviation for the round trip of cost of flights to Atlanta Round your answers to two decimal places range 288 variance 5312 72 standard deviation 78 89 Compute the range variance and standard deviation for the round trip of cost of flights to Salt Lake City Round your answers to two decimal places range variance standard deviation What does this information tell you about the prices for flights into these two cities

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Statisticsis the trend How does this trend compare to the trend for drive in movie theaters Click the icon to view the indoor movie theater data Construct a time series graph with the year on the horizontal axis and the number of theaters on the vertical axis A OB 36000 32000 28000 240005 20000 0 4 8 1216 36000 32000 28000 24000 20000 N 0 4 8 1216 OCCER Q Q 36000 32000 28000 24000 20000 0 4 8 1216 Q Q What is the trend How does this trend compare to the trend for drive in movie theaters OA There appears to be an upward then downward trend unlike drive in movie theaters which only have a downward trend OB There appears to be an upward trend unlike drive in movie theaters which have a downward trend OC There appears to be an downward trend similar to drive in movie theaters which also have a downward trend OD 36000 32000 28000 240005 20000 0 4 8 1216 2000 1000

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StatisticsFive observations taken for two variables follow Y 0 4 0 6 11 a Develop a scatter diagram with x on the horizontal axis y 80 r 70 60 50 40 30 20 10 3 16 50 60 40 60 30 5 10 15 c Compute the sample covariance X 20 y 80 70 60 50 40 30 20 10 0 0 5 10 b What does the scatter diagram developed in part a indicate about the relationship between the two variables The scatter diagram indicates that there is Select Vrelationship between the two variables 15 Based on the sample covariance what can be said about the relationship between the two variables There is a strong positive linear relationship between the two variables There is a strong negative linear relationship between the two variables O There is no relationship between the two variables 20 Based on the sample correlation coefficient what can be said about the relationship between the two variables O There is a strong positive linear relationship between the two variables O There is a strong negative linear relationship between the two variables DO 80 288 70 60 50 40 30 20 10 0 5 10 There is a positive linear relationship between the two variables but the strength of this relationship cannot be determined based on the sample covariance O There is a negative linear relationship between the two variables but the strength of this relationship cannot be determined based on the sample covariance d Compute the sample correlation coefficient Round your answer to three decimal places 15 There is no relationship between the two variables O There is a positive linear relationship between the two variables but the strength of this relationship cannot be determined based on the sample correlation coefficient O There is a negative linear relationship between the two variables but the strength of this relationship cannot be determined based on the sample correlation coefficient X 20 GO 80 70 60 50 40 30 20 10 0 0 10

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Statisticsa time series graph Click the icon to view the data table Choose the correct time series graph below O A Median Earnings 70 4 64 1989 1997 Year 2005 OB 70 64 whi 584 1989 1997 2005 Year BLOOD Q Q O C 70 64 Aw 58 1989 1997 2005 Year G

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StatisticsThe accompanying data set lists diastolic blood pressure measurements mm Hg of females All of the values are even numbers Construct a stemplot identify the two valdes that are the data are sorted in order from lowest to highest These values are often used to find the median 96 80 78 80 70 72 62 80 Construct the stemplot 78 66 84 74 68 60 94 98 82 70 64 84 70 68 72 64

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StatisticsConsider a sample with data values of 10 20 14 12 and 11 Compute the range and interquartile range range 10 interquartile range 0 5 X

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StatisticsFor which histogram can you use the Emperical Rule 68 95 99 7 assume they are all histograms Histogram A Histogram A Histogram B Histogram C Histogram B V 12 11 DB 2 114 VA DR 300 Histogram C 746 14

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StatisticsStep 4 The next value to find is the sum of squares due to error SSE The formula is given below where n is the number of observations for treatment and s2 is the variance for treatment j n 1 s SSE 2 sc SC It was previously determined that there are k 3 populations being compared and n nB nc 5 The sample variances were given to be SA 8 50 s 5 00 and these values to calculate SSE SSE n 1 s jul 2 A 1 SA nB 1 SB nc 1 sc 5 1 8 50 5 1 5 00 5 1 9 00 Use

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StatisticsFive observations taken for two variables follow 80 70 60 50 40 30 20 10 0 x 0 Y 4 6 11 a Develop a scatter diagram with x on the horizontal axis y 5 3 16 50 60 40 60 30 10 15 c Compute the sample covariance 20 X y 80 70 60 50 40 30 20 10 0 DO 0 5 10 b What does the scatter diagram developed in part a indicate about the relationship between the two variables The scatter diagram indicates that there is Select relationship between the two variables 15 O There is a strong negative linear relationship between the two variables There is no relationship between the two variables Based on the sample correlation coefficient what can be said about the relationship between the two variables There is a strong positive linear relationship between the two variables 20 X DO y 80 70 60 50 40 30 20 10 0 0 5 10 Based on the sample covariance what can be said about the relationship between the two variables There is a strong positive linear relationship between the two variables O There is a strong negative linear relationship between the two variables O There is no relationship between the two variables O There is a positive linear relationship between the two variables but the strength of this relationship cannot be determined based on the sample covariance There is a negative linear relationship between the two variables but the strength of this relationship cannot be determined based on the sample covariance d Compute the sample correlation coefficient Round your answer to three decimal places 15 X 20 DO 80 70 60 50 40 30 20 10 0 0 MY NOTES 5 ASK YOUR 10 15

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StatisticsThe creator of a new online multiplayer survival game has been tracking the monthly downloads of the newest game The following table shows the monthly downloads in thousands for each month of the current and previous year Round your answers to the nearest whole number Downloads thousands Month Downloads Month previous year thousands current year February March April mean May June July August September October mean median mode November December 33 34 median mode 34 32 32 35 34 37 37 35 33 January February March April May June July August September October 37 37 37 38 37 36 37 35 a Compute the mean median and mode for number of downloads in the previous year 34 x 34 x 34 x 33 32 b Compute the mean median and mode for number of downloads in the current year c Compute the first and third quartiles for downloads in the previous year 81 Q3 d Compute the first and third quartiles for downloads in the current year Q 23

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Statisticsweights in grams of pre 1964 quarters Weight g 6 000 6 049 6 050 6 099 6 100 6 149 6 150 6 199 6 200 6 249 6 250 6 299 6 300 6 349 6 350 6 399 Frequency 3 482044 12 10 Use the frequency distribution to construct a histogram Does the histogram appear to depict data that have a normal distribution Why or why not B O C Frequency Frequency 65 15 10 5 04 6 6 6 1 62 Weight grams 6 1 6 2 Weight grams 6 3 6 3 D 64 6 Does the histogram appear to depict data that have a normal distribution OA The histogram appears to depict a normal distribution The frequencies generally increase to a maximum and then decrease and the histogram is roughly symmetric OB The histogram appears to depict a normal distribution The frequencies generally decrease to a minimum and then increase

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StatisticsThe to the right represents the weights in pounds of members of a certain high school debate team What is the class width What are the approximate lower and upper class limits of the first class What is the class width The class width is Simplify your answer Frequency 04 105 115 125 135 145 155 165 175 Weight lbs G

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StatisticsThe last digit of the heights of 60 statistics students were obtained as part of an experiment conducted for a class Use the following frequency distribution to construct a histogram What can be concluded from the distribution of the digits Specifically do the heights appear to be reported or actually measured Digit Frequency 0 13 1 2 3 4 58679 3 5 4 4 15 5 4 3 4 OB C OD 16 16 0 H 0123456789 0123456789 0123456789 Are the data reported or measured OA The data appears to be measure The heights occur with roughly the same frequency OB The data appears to be measured Certain heights occur a disproportionate number of times OC The data appears to be reported T heights occur with roughly the sam frequency D The data appears to be reported Certain heights occur a disproportionate number of times

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StatisticsK Which of the accompanying normal quantile plots appear to represent data from a population having a normal distribution Explain Click the icon to view the normal quantile plots a Does this normal quantile plot appear to represent data from a population having a normal distribution OA The distribution is not a normal distribution The normal quantile plot has points that are not close to a straight line pattern OB The distribution is not a normal distribution The normal quantile plot has a systematic pattern that is not that of a straight line OC The distribution is a normal distribution The pattern of the points is reasonably close to a straight line and the points do not show some other systematic pattern OD The distribution is a normal distribution The normal quantile plot has a systematic pattern that is not that of a straight line

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StatisticsThe histogram to the right repr ents the weights in pounds of members of a certain high school programming team How many team members are included in the histogram The histogram represents programming team members 4 2 0 110 130 150 170 190 210 230

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StatisticsThe accompanying data are 45 commute times to work in minutes for workers of age 16 or older in Chicago Construct a frequency distribution Use a class width of 15 minutes and begin with a lower class limit of 0 minutes the data amounts appear to have a normal distribution Examine the data and identify anything appearing to be unique Click the icon to view the commute times Construct the frequency distribution Commute Time minutes 0 Frequency

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StatisticsUsing a loose interpretation of the criteria for determining whether a frequency distribution is approximately a normal distribution determine whether the given frequency distribution is approximately a normal distribution Give a brief explanation Choose the correct answer below Blood Platelet Count of Males 1000 cells L Frequency 0 99 2 100 199 55 200 299 87 300 399 400 499 500 599 600 699 CO 25 0 1 1 A The distribution is a normal distribution The frequencies start low proceed to one or two high frequer then increase to a maximum and the distribution is not symmetric B The distribution is not a normal distribution The frequencies start low proceed to one or two high frequencies then decrease to a low frequency and the distribution is approximately symmetric OC The distribution is a normal distribution The frequencies start low proceed to one or two high frequenc then decrease to a low frequency and the distribution is approximately symmetric OD The distribution is not a normal distribution The frequencies start low proceed to one or two

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Statisticsthe weights appear to be reported or actually measured What can be said about the accuracy of the results 0000000011223445555555555668899 Complete the frequency distribution below Last digit Frequency 0 1 2 3 4 Type integers or decimals Last digit Frequency 67856 9

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StatisticsMany families in California are using backyard structures for home offices art studios and hobby areas as well as for additional storage Suppose that the mean price for a customized wooden shingled backyard structure is 3 100 Assume that the standard deviation is 1 400 a What is the z score for a backyard structure costing 2 400 Round your answer to two decimal places Z b What is the z score for a backyard structure costing 6 600 Z c Interpret the z scores in parts a and b Comment on whether either should be considered an outlier The cost 2 400 is 0 5 standard deviations Select the mean therefore it is Select therefore it is Select Z d The cost for a backyard shed office combination built in Albany California is 11 850 Compute the z score for this structure Should this structure be considered an outlier Explain This structure is Select because the z score is Select The cost 6 600 is 2 50 standard deviations Select the r 6 37 A C v

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StatisticsF Weights of 67 college students in kilograms in September of freshman year are provided in the accompanying data set Construct a frequency distribution Begin with a lower class limit of 40 kg and use a class width of 10 kg Does the distribution appear to be a normal distribution Click the icon to view the freshman weights Construct the frequency distribution Weight kg Frequency 40 Type integers or decimals Do not round

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StatisticsDoes the frequency distribution appear to have a normal distribution Explain Choose the correct answer below F 45 49 50 54 55 59 60 64 65 69 70 74 75 79 37474 C 3 12 OA Yes because the frequencies start low proceed to one or two high frequencies then increase to and the distribution is not symmetric OB No because the frequencies start low proceed to one or two high frequencies then decrease to a low frequency and the distribution is approximately symmetric OC Yes because the frequencies start low proceed to one or two high frequencies then decrease to a low frequency and the distribution is approximately symmetric two high frequencies then decrease to a

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StatisticsConsider a sample with data values of 26 24 21 16 31 33 29 and 24 Compute the 20th 25th 65th and 75th percentiles 20th percentile 25th percentile 65th percentile 75th percentile

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StatisticsThe accompanying data set lists the F scale intensities of recent tornadoes in the United States Construct a frequency distribution Do the intensities appear to have a normal distribution Assume that the intensities are quantitative Click the icon to view the F scale intensities Complete the frequency distribution F Scale Intensity 0 Frequency

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Statisticse following table displays round trip flight prices from 14 major U S cities to Atlanta and Salt Lake City Round Trip Cost Departure City Cincinnati New York Chicago Denver Los Angeles Seattle Detroit Philadelphia Washington D C Miami San Francisco Las Vegas Phoenix Dallas Atlanta 339 10 320 60 292 60 339 60 360 60 383 60 309 60 415 60 292 60 250 60 538 60 456 60 358 60 332 90 Salt Lake City 570 10 355 60 465 60 218 60 312 60 297 60 472 60 619 40 512 60 524 20 380 60 160 60 268 60 458 60 a Compute the mean price for a round trip flight into Atlanta and the mean price for a round trip flight into Salt Lake City Round your answers to two deci

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StatisticsThe Graduate Management Admission Test GMAT is a standardized exam used by many universities as part of the assessment for admission to graduate study in busines The average GMAT score is 547 t Assume that GMAT scores are bell shaped with a standard deviation of 100 a What percentage of GMAT scores are 647 or higher b What percentage of GMAT scores are 747 or higher c What percentage of GMAT scores are between 447 and 547 d What percentage of GMAT scores are between 447 and 747 6 24 C M

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StatisticsP G Adjusted Stock Price Apple Adjusted Stock Price bie The DATAfile StockComparison contains monthly adjusted stock prices for technology company Apple Inc and consumer goods company Procter Gamble P G from 2013 2018 a Develop a scatter diagram with Apple stock price on the horizontal axis and P G stock price on the vertical axis 100 200 O 80 60 40 20 0 0 200 150 100 50 0 nload 0 50 150 Apple Adjusted Stock Price 100 parison xlsx 20 60 40 80 P G Adjusted Stock Price 200 Interpret the sample covariance 100 DO O Apple Adjusted Stock Price 150 100 50 0 c Compute the sample covariance Round your answer to two decimal places 60 40 P G Adjusted Stock Price 20 80 100 DO P G Adjusted Stock Price 100 80 60 40 20 b What appears to be the relationship between these two stock prices The scatter diagram shows Select relationship with Select Apple stock prices associated with higher P G stock prices 0 50 150 Apple Adjusted Stock Price 100 200

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StatisticsConsider a sample with data values of 10 20 14 12 and 11 Compute the range and interquartile range range interquartile range