Q20

instructure.com Canvas Gmail Youtube & Maps ISOM 112 Final Fia. L Margin of Error Ce.. Easy Confidence . Greystone Department Stores, Inc., operates two stores in Buffalo, New York: one is in the inner city and the others is in suburban shopping center. The regional manager noticed that products that sell well in one store do not always sell well in the other. The manager believes this situation may be attributable to difference between the mean ages of the customers who shop at the two stores. The data collected from two independent simple random samples of Greystone customers provided the following sample average ages (years). Population Standard Samples n Sample Mean Deviation Inner-city Store 36 40 9 Suburban Store 49 35 10 Do the population mean age for customers who shop at the inner-city store is 2 years older than the population mean age for customers who shop at the suburban store? Conduct the test with the 5% significance level. O The null hypothesis is #1 - Hz = 0. The rejection region is (1.96, co)- The resulting statistic is Z* = 40-35-2 92 103 =1.45. V36 49 The alternative hypothesis is /1 - /2 2 2. Since 1.45 > 0.05, we reject Ho . This suggests that the mean age for the inner-city is 2 years older than the suburban