The statistical software output for this problem is:
One sample T summary hypothesis test:
μ : Mean of population
H0 : μ = 28.8
HA : μ > 28.8
Hypothesis test results:
Mean | Sample Mean | Std. Err. | DF | T-Stat | P-value |
---|---|---|---|---|---|
μ | 29 | 0.2941742 | 25 | 0.67986927 | 0.2514 |
Hence,
Step - 1: Hypotheses:
Ho: μ < 28.8
Ha: μ > 28.8
Step - 2: Test statistic = 0.680
Step - 3: One-tailed test
Step - 4: Reject Ho if t > 2.485
Step - 5: Fail to reject the null hypothesis
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