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 sample of 170 households indicates that in a certain market, families dined out an average of 2.1 nights per week with a standard deviation of 1.2 in 2001. A sample of 160 households conducted in 2005 finds that families dine out 1.7 nights per week with a standard deviation of 0.9. Does this data indicate a significant drop in the frequency of dining out in this market?
Problem 2
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 3
An advertising agency shows a pilot for a commercial to two test audiences of 150 viewers each in two different markets. In the first market, 62 viewers responded that the commercial made them want more information on the product. In the second market, 74 said that they wanted more information. Based on these samples, is there a significant difference between the proportion of viewers who wanted more information in the two markets?