Reference no: EM132188306

Testing the Population Mean with p-Value Practice 

For each of the following sets of hypotheses and test statistic values, assume the degrees of freedom are 20 throughout.  A 5% significance level will be used for these tests.  Then, use t-table in your formula card (A.3), or the partial t-table given below, to find the bounds for the p-value.  Compare the p-value to the significance level and choose the corresponding statistical decision.  Finally, comment on the finding.  For instance, how strong is the evidence?  Are the p-value and alpha level close enough that another test should be conducted with a new sample?

Absolute Value of t-Statistic

df

1.28

1.50

1.65

1.80

2.00

2.33

2.58

3.00

20

0.108

0.075

0.057

0.043

0.030

0.015

0.009

0.004

1.   H₀:μ= 20,  H_a: μ> 20,        t= 2.58            p-value bounds:__________ , ___________

Reject H₀           Do Not Reject H₀  

Comment on finding:  

2.   H₀: μ= 6,    H_a: μ> 6,          t= 2.12            p-value bounds:__________ , ___________     

Reject H₀ Do Not Reject H₀  

Comment on finding:  

3.   H₀: μ= 0,    H_a: μ< 0,          t= -3.20           p-value bounds:__________ , ___________     

Reject H₀ Do Not Reject H₀  

Comment on finding:  

4.   H₀: μ= 6,    H_a: μ≠ 6,          t= -1.87           p-value bounds:__________ , ___________     

Reject H₀ Do Not Reject H₀  

Comment on finding: