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Student's t Distribution CI The manager of The Cheesecake Factory in Boston would like to know...

Student's t Distribution CI

The manager of The Cheesecake Factory in Boston would like to know the mean number of customers served on weekdays. She believes that the number of customers served follows a Normal distribution. She reports that on six randomly selected weekdays an average of 158.3 customers were served with a sample standard deviation of 52.2.

a. Calculate the standard error of the sample mean.

b Find the t-critical value for a 99% confidence interval with a sample size of 6.

c. Calculate a 99% confidence interval of the mean.

d. Interpret the confidence interval in the context of the problem.

( NEED IN EXCEL FORM )

math   Statistics-And-Probability   
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Answer #1

a. SE is

b. t value for 99% CI is TINV(0.01,5)=4.032

c. Margin of ERror is

Hence CI is

d, The population mean number of customers served on weekdays will lie in the range of 71.882 to 244.718

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