A shopper in a grocery store purchases 22 items on average. A store manager believes that the mean is greater than 22. She surveyed a randomly selected group of 36 customers and found that the mean of the number of items purchased was 23.2. The population standard deviation is 3.7 items. At α = 0.05, can it be concluded that the mean is greater than 22 items?

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2. A shopper in a grocery store purchases 22 items on average. A store manager believes that the mean
is greater than 22. She surveyed a randomly selected group of 36 customers and found that the mean
of the number of items purchased was 23.2. The population standard deviation is 3.7 items. At α =
0.05, can it be concluded that the mean is greater than 22 items?

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