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The following 15 numbers were generated by a computer using a N(u, 26.5) model. 49.62 55.87...

The following 15 numbers were generated by a computer using a N(u, 26.5) model. 49.62 55.87 46.37 52.37 54.58 56.28 55.41 53.17 55.39 53.39 52.40 48.16 47.82 57.26 48.51 we wish to test H0 : u= 55 vs. HA : is not= 55.

a) compute the z-statistic;

b) give an accurate p-value using SAS;

c) draw your conclusion by conducting your z-test at the 5% significance level;

d) construct a 95% confidence interval for u.

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