"The See Me" marketing agency wants to determine if time of day for a television advertisement influences website searches for a product. They have extracted the number of website searches occurring during a one-hour period after an advertisement was aired for a random sample of 30 day and 30 evening advertisements. A portion of the data is shown in the accompanying table.
Day Searches Evening Searches
96670...........................118379
97855...........................111005
⋮........................................⋮
95103...........................114721
a. Set up the hypotheses to test whether the mean number of website searches differs between the day and evening advertisements.
b. Using the appropriate commands in Excel, find the value of the test statistic. Assume the population variances are unknown but equal. What are the critical value(s) and the rejection rule?
c. At the 5% significance level, what is the conclusion?