Suppose a paired random sample of size 25 yielded the following information: D= 13.42, s3 = 2.53. Test the hypothesis that the difference of the two population means is less than or equal to 13 with the alternative that the difference is greater than 13. Use a = 0.05. The following answers" have been proposed. (a) Since D-13 = 1.32 > 1.71, we do not reject the null hypothesis. We might have made the type II error. (b) Since D-13 = 1.32 > 1.71, we do not reject the null hypothesis. We might have made the type I error. D-13 (c) Since = 1.32 > 1.299, we reject the null hypothesis. We might have made the type I error. (d) Since D-13 = 1.32 > 1.299, we reject the null hypothesis. We might have made the type II error. Spyn (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose a paired random sample of size 25 yielded the following information:
D = 13.42, s3 = 2.53.
Test the hypothesis that the difference of the two population means is less than or equal to 13 with the alternative that
the difference is greater than 13. Use a = 0.05.
The following `answers" have been proposed.
%3B
D-13
(a) Since
1.32 > 1.71, we do not reject the null hypothesis. We might have made the type II error.
(b) Since D-13
1.32 > 1.71, we do not reject the null hypothesis. We might have made the type I error.
(c) Since D-13
Sp/Vn
1.32 > 1.299, we reject the null hypothesis. We might have made the type I error.
D-13
(d) Since
1.32 > 1.299, we reject the null hypothesis. We might have made the type II error.
(e) None of the above.
The correct answer is
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)
Transcribed Image Text:Suppose a paired random sample of size 25 yielded the following information: D = 13.42, s3 = 2.53. Test the hypothesis that the difference of the two population means is less than or equal to 13 with the alternative that the difference is greater than 13. Use a = 0.05. The following `answers" have been proposed. %3B D-13 (a) Since 1.32 > 1.71, we do not reject the null hypothesis. We might have made the type II error. (b) Since D-13 1.32 > 1.71, we do not reject the null hypothesis. We might have made the type I error. (c) Since D-13 Sp/Vn 1.32 > 1.299, we reject the null hypothesis. We might have made the type I error. D-13 (d) Since 1.32 > 1.299, we reject the null hypothesis. We might have made the type II error. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
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