# Test statistic and p-value for sample

Calculate the test statistic and p-value for each sample.

a. H0: Î¼ = 60 versus H1: Î¼ = 60, Î± = .025, Â¯x = 63, Ïƒ= 8, n = 16

b. H0: Î¼ â‰¥ 60 versus H1: Î¼ < 60, Î± = .05, Â¯x = 58, Ïƒ= 5, n = 25

c. H0: Î¼ â‰¤ 60 versus H1: Î¼ > 60, Î± = .05, Â¯x = 65, Ïƒ= 8, n = 36

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Calculate the test statistic and p-value for each sample.

a. H0: Î¼ = 60 versus H1: Î¼ = 60, Î± = .025, Â¯x = 63, Ïƒ = 8, n = 16

b. H0: Î¼ â‰¥ 60 versus H1: Î¼ < 60, Î± = .05, Â¯x = 58, Ïƒ = 5, n = 25

c. H0: Î¼ â‰¤ 60 versus H1: Î¼ > 60, Î± = .05, Â¯x = 65, Ïƒ = 8, n = 36

Assumptions:

Ïƒ =Population standard deviation.

The data follows a normal distribution.

With these two assumptions, the Z test can be used for given data.

Hypothesis Test for mean:

Assuming you have a large enough sample such that the central limit theorem holds, or you have a sample of any size from a normal population ...

#### Solution Summary

The test statistic and p-value for each sample is determined.