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In: Statistics and Probability

5. Consider the hypothesis test H0 : µ = 18, Ha :µ ≠ 18. A sample...

5. Consider the hypothesis test H0 : µ = 18, Ha :µ ≠ 18. A sample of size 20 provided a sample mean of 17 and a sample standard deviation of 4.5.

a. 3pts.Compute the test statistic.

b.3pts. Find the p-value at the 5% level of significance, and give the conclusion.

c. 5pts.Make a 99% confidence interval for the population mean.

d. 5pts.Suppose you have 35 observations with mean17 and S.d. 4.5. Make a 90% confidence interval for the population mean.

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