Find the p-value for each of these situations. Be sure to take into account whet

Question

Find the p-value for each of these situations. Be sure to take into account whether the test is left sided, right sided, or two sided.

Note that when testing the value of a single population mean (rather than a difference in means), degrees of freedom are df = n - 1.

Round all answers to three decimal places

a. H0: 1 - 2 = 0
    HA: 1 - 2 > 0
    df = 23
    t-statistic = 1.39
    p-value =  

b. H0: 1 - 2 = 0
    HA: 1 - 2 < 0
    df = 62
    t-statistic = -1.74
    p-value =  

c. H0: 1 - 2 = 0
    HA: 1 - 2 0.
    df = 9
    t-statistic = 2.11
    p-value =  

d. H0: = 781
    HA: > 781
    n = 121
    t-statistic = 2.01
    p-value =  

e. H0: = 2400
    HA: < 2400
    n = 69
    t-statistic = -1.81
    p-value =  

f. H0: = 3600
    HA: 3600.
    n = 23
    t-statistic = -2.55
    p-value =

Explanation / Answer

a. H0: 1 - 2 = 0
    HA: 1 - 2 > 0
    df = 23
    t-statistic = 1.39
    p-value = 0.089

b. H0: 1 - 2 = 0
    HA: 1 - 2 < 0
    df = 62
    t-statistic = -1.74
    p-value = 0.043

c. H0: 1 - 2 = 0
    HA: 1 - 2 0.
    df = 9
    t-statistic = 2.11
    p-value = 0.064

d. H0: = 781
    HA: > 781
    n = 121
    t-statistic = 2.01
    p-value = 0.023

e. H0: = 2400
    HA: < 2400
    n = 69
    t-statistic = -1.81
    p-value = 0.037

f. H0: = 3600
    HA: 3600.
    n = 23
    t-statistic = -2.55
    p-value = 0.018

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