USING MINITAB Comprehe 60 76 76 90 81 75 95 98 88 73 90 66 91 83 100 85 76 69 91
ID: 3131759 • Letter: U
Question
USING MINITAB
Comprehe
60
76
76
90
81
75
95
98
88
73
90
66
91
83
100
85
76
69
91
78
Using Minitab
We would like to evaluate whether the mean Comprehension is smaller than 90 at the significant level of 0.05. Perform a one sample Hypothesis Test using Minitab. What is the test statistic and p- value? What is your decision (can we reject the null hypothesis)? Why or why not?
Now we would like to decrease the significant level from 0.05 to 0.01, Will the test statistic change? Will the p-value change? Will your decision change? Rerun the hypothesis test to check out.
What if we now want to evaluate whether the mean Comprehension differs from 90 at the significant level of 0.05? Will the test statistic change? Will the p-value change? Will your decision change? Rerun the hypothesis test to check out.
Explanation / Answer
Using Minitab
We would like to evaluate whether the mean Comprehension is smaller than 90 at the significant level of 0.05. Perform a one sample Hypothesis Test using Minitab. What is the test statistic and p- value? What is your decision (can we reject the null hypothesis)? Why or why not?
One-Sample T: Comprehe
Test of = 90 vs < 90
Variable N Mean StDev SE Mean 95% Upper Bound T P
Comprehe 20 82.05 10.88 2.43 86.26 -3.27 0.002
Calculated test value =-3.27, P=0.002 which is < 0.05 level.
The null hypothesis is rejected.
Now we would like to decrease the significant level from 0.05 to 0.01, Will the test statistic change? Will the p-value change? Will your decision change? Rerun the hypothesis test to check out.
One-Sample T: Comprehe
Test of = 90 vs < 90
Variable N Mean StDev SE Mean 99% Upper Bound T P
Comprehe 20 82.05 10.88 2.43 88.23 -3.27 0.002
The p value is same P=0.002.
The decision is not changed.
What if we now want to evaluate whether the mean Comprehension differs from 90 at the significant level of 0.05? Will the test statistic change? Will the p-value change? Will your decision change? Rerun the hypothesis test to check out.
One-Sample T: Comprehe
Test of = 90 vs 90
Variable N Mean StDev SE Mean 95% CI T P
Comprehe 20 82.05 10.88 2.43 (76.96, 87.14) -3.27 0.004
The p value is same P=0.004.
The decision is not changed since P value 0.004 < 0.05 level of significance.
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