Question

The following two samples were collected as matched pairs. Complete parts? (a) through? (d) below. Pair 1 2 3 4 5 6 7 Sample 1 4 5 8 5 7 6 7 Sample 2 5 3 4 3 4 5 4 a. State the null and alternative hypotheses to test if a difference in means exists between the populations represented by Samples 1 and 2. Let mud be the population mean of? matched-pair differences for Sample 1 minus Sample 2. Choose the correct answer below. B. Find the test statistic using a=0.01 The critical value(s) is (are) Interpret the results of the hypothesis test using a=0.01. Choose the correct answer below a. reject the null hypothesis because the test statistic is less than the critical t-score b. do not reject the null hypothesis because the test statistic is greater than the critical t-score c. reject the null hypthesis because the test statistic is greater than the critical t-score d. do not reject the null hypothesis because the test statistic is less than the critical t-score c. identify th p-value interpret the results of the p-value. choose the correct answer below a. do not reject the null hypothesis because the p-value is less that or equal to the given a=0.01 level b. do not reject the null hyptheis because the p-value is greater than 0.01 level c.reject the null hypothesis because the p-vaule is less tah or equal to the given 0.01 level d.reject the null hypothesis because the p-value is grrater than the a=0.01 level d.What assumptions need to be made in order to perform this procedure?

Answer 1

	Sample 1	Sample 2
Mean	5.375	3.75
Variance	4.839286	1.071429
Observations	8	8

The test statistic:

P-value: 0.041675

Critical value:

do not reject the null hypothesis because the test statistic is less than the critical t-score

c) P-value: 0.041675

do not reject the null hypothesis because the p-value is greater than 0.01 level

d) The test statistic is not significant and failed to reject the null hypothesis. There is insufficient evidence to support that the paired means are different.