Construct a Confidence Interval with given the sample mean and the sample standard

deviation. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean. Interpret the results.

a) In a random sample of five people, the mean driving distance to work was 22.2 miles and the standard deviation was 5.8 miles.

b) You research driving distances to work and find that the population standard deviation is 5.2 miles. Repeat a) using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.

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