Basic Computation: Confidence Interval A random sample of size 81 has sample mean 20 and sample standard

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Basic Computation: Confidence Interval A random sample of size 81 has sample mean 20 and sample standard deviation 3.

(a) Check Requirements Is it appropriate to use a Student’s t distribution to compute a confidence interval for the population mean m? Explain.

(b) Find a 95% confidence interval for m.

(c) Interpretation Explain the meaning of the confidence interval you computed.

In Problems 15–21, assume that the population of x values has an approximately normal distribution.

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