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# Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 22 thousand and a standard...

1.Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 22 thousand and a standard deviation of 12.8 thousand.

**What is the probability that the average number of residents within five miles of each store in a sample of 55 stores will be fewer than 23.4 thousand?**

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

2.Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 20 thousand and a standard deviation of 5.2 thousand.

**What is the 90th percentile for the average number of residents within five miles of each store in a sample of 55 stores?**

Note that the correct answer will be evaluated based on the z-values in the summary table in the Teaching Materials section.

Please specify your answer in thousands and round to the nearest tenth (e.g., enter 6,531 as 6.5).

3.Suppose the shipping weight of your cheese shop's customized gift baskets is asymmetrically distributed with unknown mean and standard deviation. For a sample of 60 orders, the mean weight is 59 ounces and the standard deviation is 7.9 ounces.

**What is the lower bound of the 99 percent confidence interval for the gift basket's average shipping weight?**

Note that the correct answer will be evaluated based on the z-values in the summary table in the Teaching Materials section.

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.