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In: Statistics and Probability

A fashion designer was looking to improve her brand's most recent collection of clothes by adding...

A fashion designer was looking to improve her brand's most recent collection of clothes by adding a casual line to the brand as well. The casual line would include shorts, t-shirts, and sandals. The designer sampled seven potential customers to find the average price they were willing to pay for their favorite brand of shorts. The results are as follows. 21, 24, 26, 28, 27, 30, 12

1. Calculate the margin of error for a 95% confidence interval for the population mean. (Use a table or technology. Round your answer to three decimal places.)

2. Calculate the 95% confidence interval for the population mean. (Use a table or technology. Round your answers to three decimal places.)

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