Parts A,B need answered. Let df=11 7.48 Determining significance. For each of th
ID: 3067190 • Letter: P
Question
Parts A,B need answered. Let df=117.48 Determining significance. For each of the following, answer the question and give a short explanation of your reasoning. (a) A significance test for comparing two means gave 1.86 with 11 degrees of freedom. Can you reject the null hypothesis that the ?'s are equal versus the two-sided alternative at the 5% significance level? (b) Answer part (a) for the one-sided alternative that the difference in means is negative. (c) Answer part (a) for the one-sided alternative that the difference in means is positive.
Explanation / Answer
a) For a two-tailed test with the degree of freedom = 11
and t= -1.86
P value = 0.0898
The P value is greater than the significance level of the test, hence we fail to reject the null hypothesis.Hence the test is not significant.
B) P(value for the one-tailed test P(t<-1.86)=0.0449
The test is significant and we can reject the null hypothesis, as the P value is less than the significance level of the test.
c) P-value for the one-tailed test P(t>1.86)=0.0449
The test is significant and we can reject the null hypothesis, as the P value is less than the significance level of the test.