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: ? ? 8
    Ha: ? > 8
    n = 24
    ? = 0.01
    t-statistic = 1.65
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  ---Select--- Reject Ho Fail to reject Ho

B) Ho: ? ? 59
    Ha: ? < 59
    n = 19
    ? = 0.02
    t-statistic = -2.27
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  ---Select--- Reject Ho Fail to reject Ho

C) Ho: ? = 149
    Ha: ? ? 149.
    n = 26
    The significance level is: 0.025
    t-statistic = 2.30
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  ---Select--- Reject Ho Fail to reject Ho

D) Ho: ? ? 831
    Ha: ? > 831
    n = 23
    Significance level = 0.025
    t-statistic = 2.18
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  ---Select--- Reject Ho Fail to reject Ho

E) Ho: ? ? 1725
    Ha: ? < 1725
    n = 24
    ? = 0.05
    t-statistic = -2.08
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  ---Select--- Reject Ho Fail to reject Ho

F) Ho: ? = 3700
    Ha: ? ? 3700.
    n = 11
    ? = 0.025
    t-statistic = -2.85
    p-value =  
    Note:Round the answer to four decimal places
    The statistical decision is:  ---Select--- Reject Ho Fail to reject Ho

Answer 1

A)

Since, n = 24, the distribution we use here is t₂₃ distribution. Also, since this is a one-tailed test, the p-value is given by:

=> We fail to reject H₀.

B)

Since, n = 19, the distribution we use here is t₁₈ distribution. Also, since this is a one-tailed test, the p-value is given by:

=> We reject H₀.

C)

Since, n = 26, the distribution we use here is t₂₅ distribution. Also, since this is a two-tailed test, the p-value is given by:

=> We fail to reject H₀.

D)

Since, n = 23, the distribution we use here is t₂₂ distribution. Also, since this is a one-tailed test, the p-value is given by:

=> We reject H₀.

E)

Since, n = 24, the distribution we use here is t₂₃ distribution. Also, since this is a one-tailed test, the p-value is given by:

=> We reject H₀.

F)

Since, n = 11, the distribution we use here is t₁₀ distribution. Also, since this is a two-tailed test, the p-value is given by:

=> We reject H₀.

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