Question: Judy Povich is a fashion designer artist who designs the display windows in front of a large clothing store in New York City. Electronic counters at the entrances total the number of people entering the store each business day. Before Judy was hired by the store, the mean number of people entering the store each day was 3218. However, since Judy has started working, it is thought that this number increased. A random sample of 42 business days after Judy began work gave an average \(\bar{X}\) = 3392 people entering the store each day. The sample standard deviation was s = 287 people. Does this indicate that the average number of people entering the store each day has increased? Use a 1% level of significance.

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