MA207 Final Exam - Takehome Portion
For each of the problems below, use the technology guide to perform a statistical analysis.
You should justify your choice of method, including any assumptions made in the use of the method.
You should indicate whether a two-tailed, left-tailed, or right-tailed analysis is appropriate,
and, in hypothesis testing problems, state the null and alternative hypotheses.
If the problem does not specify a level of significance, you should choose one.
Problem 1
A retailer compares same-store sales in the months immediately before and after an ad campaign at 52 stores and finds an average increase of $12.1 (measured in thousands of dollars per week), with a standard deviation of 6.1. Does this study support the claim that the ad campaign significantly increased sales?
Problem 2
Data from a credit card company indicates that in a certain market, families dined out an average of 2.3 nights per week with a standard deviation of 0.8 in 2001, and 1.9 nights per week with a standard deviation of 0.7 in 2005. Does this data indicate a significant drop in the frequency of dining out in this market?
Problem 3
A television network claims that a show in a certain time slot has a 17 percent share of the
viewing audience and sets advertising rates accordingly. An advertiser running a commercial during the show wants to verify that the market share is 17 percent, so a telephone survey is taken during the show. The survey calls 500 randomly selected households and finds
that 80 are tuned in to the show. Does this data support the network's audience share estimate, or should the advertiser negotiate a refund?