The new manager of a theater would like to offer discounts to increase the number of tickets sold for shows on Monday and Tuesday evenings. She uses a sample of 30 weeks to record the number of tickets sold on these two days. A portion of the data is shown in the accompanying table; the complete data set, labeled Theater, can be found on the text website.
Monday Tuesday
221....... 208
187....... 199
: ....... :
194....... 180
a. Use Excel to compare the margin of error for the 95% confidence intervals for the mean number of tickets sold for shows on Monday and Tuesday evenings.
b. Use Excel to construct the 95% confidence intervals for the mean number of tickets sold for shows on Monday and Tuesday evenings.
c. Determine if the population mean differs from 200 for shows on Monday and Tuesday evenings.