find the pvalue Show all work please 4 Find the pvalue exact

4. Find the p-value (exactly for the normal distribution, and a range for the t distribution) in each of the following hypothesis testing problems: Testing Mu =10 versus Ha: Mu not equal to 10 ; sample size=50, test statistic z= 2.62. 2) Testing Mu =10 versus Ha: Mu not equal to 10 ; sample size=50, test statistic z=-2.62. 3) Testing Mu =10 versus Ha: Mu > 10; sample size =5, test statistic t=2.62 ( Assume normal distribution of the population)

Solution

1)

As Ha used =/=, then it is a two tailed test.

Thus, the two tailed P value when z = 2.62, by table/tchnology, is

P = 2*0.004396488 = 0.008792977 [ANSWER]

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2)

It is still a two tailed test.

Thus, the two tailed P value when z = -2.62, by table/tchnology, is

P = 2*0.004396488 = 0.008792977 [ANSWER]

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3.

It is a right tailed test, as Ha used >.

Thus, the right tailed P value when t = 2.62, df = n- 1 = 4, by table/tchnology, is

P = 0.029399688 [ANSWER]