Number of Observations 92 Mean 8.2 Standard Deviation 4.0 Min 1.2 Max 16.4 Null 60 Alpha 0.05 Standard Error 0.42 Test Statistic -123.7622191 P-Values Result Ha < Null (1 tail left) 1.6416E-103 reject Ha

To determine whether to reject the null hypothesis based on the p-values provided, let's analyze the results for each test: 1. **Ha < Null (1 tail left):** - P-value = \(1.6416 \times 10^{-103}\) - Since this p-value is much less than the significance level (α = 0.05), you would reject the null hypothesis. 2. **Ha > Null (1 tail right):** - P-value = 1 - This p-value is greater than the significance level (α = 0.05), so you fail to reject the null hypothesis. 3. **Ha NE Null (2 tail):** - P-value = \(3.2832 \times 10^{-103}\) - Again, this p-value is much less than the significance level (α = 0.05), so you would reject the null hypothesis. ### Summary: - For the one-tailed left test (Ha < Null): **Reject null hypothesis.** - For the one-tailed right test (Ha > Null): **Fail to reject null hypothesis.** - For the two-tailed test (Ha NE Null): **Reject null hypothesis.** In conclusion, based on the p-values from the one-tailed left test and the two-tailed test, you can reject the null hypothesis. However, the one-tailed right test leads you to fail to reject the null hypothesis. So, the conclusion depends on which hypothesis you are testing. If you're particularly interested in the left or two-tailed test results, then you can indeed reject the null hypothesis.