Ch. 11, 2. Given two dependent random samples with the followingresults:
Population 1 | 71 | 68 | 50 | 84 | 76 | 76 | 80 | 79 |
Population 2 | 76 | 63 | 54 | 80 | 79 | 82 | 75 | 82 |
Can it be concluded, from this data, that there is a significantdifference between the two population means?
Let d= (Population 1 entry)?(Population 2 entry)d=(Population 1entry)?(Population 2 entry). Use a significance level of ?=0.2 forthe test. Assume that both populations are normallydistributed.
Step 1 of 5: State the null and alternativehypotheses for the test.
Ho: ?d(=,?,<,>,?,?) 0
Ha:?d (=,?,<,>,?,?) 0
Step 2 of 5: Find the value of the standarddeviation of the paired differences. Round your answer to onedecimal place.
Step 3 of 5: Compute the value of the teststatistic. Round your answer to three decimal places.
Step 4 of 5: Determine the decision rule forrejecting the null hypothesis H0. Round the numerical portion ofyour answer to three decimal places.
Reject Ho if (t, I t I) (<,>) _____
Step 5 of 5:
Make the decision for the hypothesis testTop of Form
Reject Null Hypothesis Fail to Reject Null Hypothesis
