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H0: µ ≤ 16.70 vs. HA: µ > 16.70

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What is the test statistic for sample of size 24, mean 14.05, and standard deviation 1.87? Enter the tst statistic with 2 decimals places.

A sample of size 20 yields a sample mean of 23.5 and a sample standard deviation of 4.3.

Test H0: Mean ≥ 25 at α = 0.10. HA: Mean < 25. This is a one-tailed test with lower reject region bounded by a negative critical value.

A.     Pvalue 0.068. H0 rejected. Conclude mean < 25

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B.     Pvalue 0.932. H0 not rejected. Conclude mean ≥ 25

C.     Pvalue 0.135. H0 not rejected. Conclude mean ≥ 25

D.     None of the answers are correct.

The results of sampling independent populations:

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sample 1 from population 1

•            mean 80

•            population variance 3

•            sample size 25

sample 2 from population 2

•            mean 81

•            population variance 2

•            sample size 50

Note that the population variances are known. Test H0: (population 1 mean – population2 mean) ≤ 0 at α = 0.05. HA: (population1 mean – population2 mean) > 0. This is a one-tailed test with upper reject region and positive critical value.

A.     Pvalue 0.0124. H0 rejected. Concluded difference of means > 0.

B.     Pvalue 0.0062. H0 rejected. Concluded difference of means > 0.

C.     Pvalue 0.9938. H0 not rejected. Concluded difference of means ≤ 0.

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