uppose you want to test the claim the the paired sample data given below come fr

ID: 3072966 • Letter: U

Question

uppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is d=0.

x 51 89 60 78 75 81 59

y 79 84 87 75 93 55 64

Use a 0.01 significance level to find the following:

(a) The mean value of the differnces d for the paired sample data d=

(b) The standard deviation of the differences d for the paired sample data sd=

(d) The positive critical value t=

(e) The negative critical value t=

(f) Does the test statistic fall in the critical region? A. Yes B. No

(g) Construct a 99% conficence interval for the population mean of all differences xy. <d<

The statistical software output for this problem is:

Summary statistics:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between x and y
H0 : D = 0
HA : D 0
Hypothesis test results:

99% confidence interval results:

Hence,

a) Mean = -6.2857

b) Standard deviation = 19.5594

c) Test statistic = -0.8503

d) Positive critical value = 3.7074

e) Negative critical value = -3.7074

f) No

g) 99% confidence interval:

-33.6939 < d < 21.1225

Column Mean Std. dev. Differences -6.2857143 19.559433

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