2. According to the website www.costofwedding.com, the average cost of catering a wedding is $100 per person. Recently, in a random sample of 30 weddings in the U.S. it was found that the average catering cost was $110, with a standard deviation of $12. Assume that the distribution of catering costs is approximately normal. A. Construct a 99% confidence interval for the population mean catering cost. (Check the conditions for the procedure, determine the t* value, and show the calculations for the margin of error and confidence interval.) B. Explain what the 99% confidence level means – what does it mean to be 99% confident of the estimate? C. Would a 95% confidence interval be narrower or wider than the 99% confidence interval? Explain. (You do not need to construct the 95% interval.)

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2. According to the website www.costofwedding.com, the average cost of catering a wedding is
$100 per person. Recently, in a random sample of 30 weddings in the U.S. it was found that the
average catering cost was $110, with a standard deviation of $12. Assume that the distribution of
catering costs is approximately normal.
A. Construct a 99% confidence interval for the population mean catering cost. (Check the
conditions for the procedure, determine the t* value, and show the calculations for the margin of
error and confidence interval.)
B. Explain what the 99% confidence level means – what does it mean to be 99% confident
of the estimate?
C. Would a 95% confidence interval be narrower or wider than the 99% confidence
interval? Explain. (You do not need to construct the 95% interval.)
Transcribed Image Text:2. According to the website www.costofwedding.com, the average cost of catering a wedding is $100 per person. Recently, in a random sample of 30 weddings in the U.S. it was found that the average catering cost was $110, with a standard deviation of $12. Assume that the distribution of catering costs is approximately normal. A. Construct a 99% confidence interval for the population mean catering cost. (Check the conditions for the procedure, determine the t* value, and show the calculations for the margin of error and confidence interval.) B. Explain what the 99% confidence level means – what does it mean to be 99% confident of the estimate? C. Would a 95% confidence interval be narrower or wider than the 99% confidence interval? Explain. (You do not need to construct the 95% interval.)
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