Find the p-value and corresponding statistical conclusion for each of these situ

Question

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 = 29
     = 0.01
    t-statistic = 1.63
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is: Reject Ho or Fail to reject Ho

B) Ho: 58
    Ha: < 58
    n = 29
     = 0.025
    t-statistic = -1.73
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:   Reject Ho or Fail to reject Ho


C) Ho: = 137
    Ha: 137.
    n = 26
    The significance level is: 0.05
    t-statistic = 1.60
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  Reject Ho or Fail to reject Ho


D) Ho: 847
    Ha: > 847
    n = 12
    Significance level = 0.01
    t-statistic = 1.39
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  Reject Ho or Fail to reject Ho

E) Ho: 2325
    Ha: < 2325
    n = 8
     = 0.01
    t-statistic = -2.83
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:   Reject Ho or Fail to reject Ho


F) Ho: = 4150
    Ha: 4150.
    n = 24
     = 0.02
    t-statistic = -2.20
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is: Reject Ho or Fail to reject Ho

Explanation / Answer

a)

As df = n - 1 = 28, and it is right tailed, t = 1.63, then using technology, the P value is

P = 0.0571507 [ANSWER]

As P > 0.01, we FAIL TO REJECT HO. [ANSWER]

*******************

b)

As df = n - 1 = 28, and it is left tailed, t = -1.73, then using technology, the P value is

P = 0.047320237 [ANSWER]

As P > 0.025, we FAIL TO REJECT HO. [ANSWER]

*****************

c)

As df = n - 1 = 25, and it is two tailed, t = 1.60, then using technology, the P value is

P = 0.122161425 [ANSWER]

As P > 0.05, we FAIL TO REJECT HO. [ANSWER]

******************

d)

As df = n - 1 = 11, and it is right tailed, t = 1.39, then using technology, the P value is

P = 0.096007816 [ANSWER]

As P > 0.01, we FAIL TO REJECT HO. [ANSWER]

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