Congratulations! After passing your course in Business Statistics, you received a job as a statistical analyst...

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Statistics

  1. Congratulations! After passing your course in BusinessStatistics, you received a job as a statistical analyst at a majorbusiness corporation. Your first task is to decide whichstatistical test would be the most appropriate to use to analyzethe following   problems.    Luckily, youremember learning about the following statistical tests in yourfavorite (and only) business statistics course.

A.   z-test for one samplemean                                          H.    t- test for paired data

B. z -test for one sampleproportion                                 I.    F-test for the equality of variances

C.   t-test for one samplemean                                           J.    Single factor ANOVA

D.   t-test for twoindependent samplemeans                    K.    Chi square test for independence

E.   Chi-square test for adifference in twoproportions       L.    Chi-square goodness of fit test.

F. Simple RegressionAnalysis                                                  

G.   MultipleRegression                      

                                                                                           

a.   Gas Buddy reported that the mean gas pricenationwide is $1.24 per liter for unleaded gas. The nationwidestandard deviation is $0.19 per liter. A random sample of the priceper liter for unleaded gas is taken at 35 gas stations inVancouver. Which statistical test should be used to determinewhether the average price of gas in Vancouver is significantlyhigher than the nationwide average?

Test: ____________(from the above list, choose the letter that corresponds to themost appropriate test to analyze the data)

b A study of the effect of television commercials on 9 year oldchildren measured attention span time (in seconds). There werethree different commercial groups based on Food, Movies, or Games.A sample of 36 children were randomly assigned to one of the threecommercial groups. Which statistical test should be used todetermine whether there is a significant difference in the meanattention span time among the children in the three differentcommercial groups?

Test: ___________(from the above list, choose the letter that corresponds to themost appropriate test to analyze the data)

c.   YVR has been redesigned with the goal ofreducing flight delays. The delays (in minutes) for a random sampleof flights before and after the upgrade are recorded. Whichstatistical test should YVR use to analyze the data in order todetermine if the upgrades significantly reduced the average flightdelay times?

Test: ___________(from the above list, choose the letter that corresponds to themost appropriate test to analyze the data)

  d. A retirement centerpreviously reported that residents spend an average of 4 hours perweek using the computer. The retirement director thinks that timehas increased. He asks a sample of 40 residents about theircomputer usage last week. Which statistical test should thedirector use to determine if the average computer usage time hassignificantly increased?

Test: ____________ (from the above list, choosethe letter that corresponds to the most appropriate test to analyzethe data)

Answer & Explanation Solved by verified expert
3.6 Ratings (372 Votes)
Answer aA ztest for one sample meanExplanationWe want to test Ho The averageprice per litre of gas in Vancouver is 124 versus Ha The averageprice per litre of gas in Vancouver is significantly higher thanthe nationwide average 124Since the population standarddeviation is known we will use    See Answer
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