Question

Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is pa = 0. 62 75 55 73 72 88 70 y 91 61 89 93 70 62 58 use a 0.01 significance level to find the following: (a) the mean value of the differnces d for the paired sample data (rounded to the hundredths place) d. = (b) the standard deviation of the differences d for the paired sample data (rounded to the hundredths place) sd (c) the t test statistic (rounded to 3 decimal places) † = (a) the positive critical value t (e) the negative critical value † = (f) does the test statistic fall in the critical region? •a. yes ob. no (g) construct a 99% conficence interval for the population mean of all differences x - y. < id

Answer 1

To find the mean value of the differences for the paired sample data, add up all the differences and divide the sum by the number of differences. The standard deviation of the differences can be calculated using the formula for the population standard deviation or the calculator function TTEST.

Step-by-step explanation:

To find the mean value of the differences for the paired sample data, you need to add up all the differences and divide the sum by the number of differences. In this case, the differences are given as 0, 62, 75, 55, 73, 72, 88, 70, 91, 61, 89, 93, 70, 62, 58. There are 15 differences, so you add them up and divide by 15 to get the mean value, which is rounded to the hundredths place.

To find the standard deviation of the differences, you can use the formula for the population standard deviation, or you can use the calculator function TTEST, which gives you the standard deviation of the differences directly. In this case, the standard deviation rounded to the hundredths place is...