The following independent samples from two normally distributed populations were observed. You may assume that the population variances were equal but unknown. Test the hypotheses that Ho : u1 - u2 <3 versus H1 : 1 - 42 > 3 at a = 0.05. %3D Sample 1 51, 42, 49, 55, 46, 63, 56, 58, 47, 39, 47 Sample 2 38, 49, 45, 29, 31, 35. Hint: To simplify your calculations you may use that the means of these two samples are 50.3 and 37.8 respectively and L;(Xi – Xu)? = 514.18 and (Y; - Y6)² = 308.83.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following independent samples from two normally distributed populations
were observed. You may assume that the population variances were equal but
unknown. Test the hypotheses that Ho : µ1 - u2 < 3 versus H1 : µ1 - 42 > 3 at
a = 0.05.
Sample 1 51, 42, 49, 55, 46, 63, 56, 58, 47, 39,
Sample 2 38, 49, 45, 29, 31, 35.
47
Hint: To simplify your calculations you may use
that the means of these two samples are 50.3 and 37.8 respectively and £;(X; -
X11)2 = 514.18 and E,(Y; – Y6)² = 308.83.
Transcribed Image Text:The following independent samples from two normally distributed populations were observed. You may assume that the population variances were equal but unknown. Test the hypotheses that Ho : µ1 - u2 < 3 versus H1 : µ1 - 42 > 3 at a = 0.05. Sample 1 51, 42, 49, 55, 46, 63, 56, 58, 47, 39, Sample 2 38, 49, 45, 29, 31, 35. 47 Hint: To simplify your calculations you may use that the means of these two samples are 50.3 and 37.8 respectively and £;(X; - X11)2 = 514.18 and E,(Y; – Y6)² = 308.83.
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