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What is the test statistic for sample of size 20,

1) H0: μ ≤ 16.23 vs. HA: μ > 16.2
What is the test statistic for sample of size 20, mean 14.39, and standard deviation 1.08? Enter the test statistic with 2 decimal places.

2)The results of sampling independent populations:

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 – population 2 mean) ≤ 0 at α = 0.05. HA:(population 1 mean – population 2 mean) > 0. This is a one-tailed test with upper reject region and positive critical value.

A) Pvalue 0.9938. H0 not rejected. Conclude difference of means ≤ 0 is plausible

B) Pvalue 0.0062. H0 rejected. Conclude difference of mean > 0

C) Pvalue 0.0124. H0 rejected. Conclude difference of mean > 0

 
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