Find the pvalue and corresponding statistical conclusion for

Find the p-value and corresponding statistical conclusion for each of these situations. Be sure to take into account directionality of the test.

A) Ho: 14
    Ha: > 14
    n = 27
     = 0.025
    t-statistic = 2.38
    p-value = ?????
    Note:Round the answer to four decimal places
    The statistical decision is: Reject Ho

B) Ho: 70
    Ha: < 70
    n = 8
     = 0.10
    t-statistic = -1.85
    p-value = ?????_____
    Note:Round the answer to four decimal places
    The statistical decision is: Reject Ho  

C) Ho: = 122
    Ha: 122.
    n = 11
    The significance level is: 0.05
    t-statistic = 2.45
    p-value = ?????_____
    Note:Round the answer to four decimal places
    The statistical decision is: fail to reject Ho

D) Ho: 736
    Ha: > 736
    n = 10
    Significance level = 0.01
    t-statistic = 2.73
    p-value = ???_____
    Note:Round the answer to four decimal places
    The statistical decision is: fail to Reject Ho

E) Ho: 1900
    Ha: < 1900
    n = 10
     = 0.025
    t-statistic = -2.96
    p-value = ??_____???
    Note:Round the answer to four decimal places
    The statistical decision is: Reject Ho

F) Ho: = 4750
    Ha: 4750.
    n = 10
     = 0.01
    t-statistic = -2.10
    p-value = ???____?
    Note:Round the answer to four decimal places
    The statistical decision is: Fail to reject Ho

Solution

a)

Using technology, as df = n - 1 = 26, right tailed,

P = 0.01246644 [ANSWER]

As P < 0.025, we REJECT HO.

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b)

Using technology, as df = n - 1 = 7, left tailed,

P = 0.050738323 [ANSWER]

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c)

Using technology, as df = n - 1 = 10, two tailed,

P = 0.034257781 [ANSWER]

[Here, we REJECT HO, as P < 0.05]

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d)

Using technology, as df = n - 1 = 9, right tailed,

P = 0.01161227 [ANSWER]

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