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The average cost per night of a hotel room in New York City is $431. Assume this estimate is based on a sample of 55 hotels and that the sample...

The average cost per night of a hotel room in New York City is $431. Assume this estimate is based on a sample of 55 hotels and that the sample standard deviation is $48.

(Please note that this problem uses the t-distribution. Zero points will be awarded if you use the standard normal distribution.)

a. At 90% confidence, what is the interval estimate for the population mean?

b. At 95% confidence, what is the interval estimate for the population mean?

c. At 99% confidence, what is the interval estimate for the population mean?

d. Describe the effect of a higher confidence level on the margin of error.

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