You may need to use the appropriate appen ix table or technology to answer this question. Consider the following hypothesis test. Ho: H1-250 H: H-2>0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n= 40 n2 = 50 = 25.3 x, = 22.8 1 = 5.9 02 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) 1.84 (b) What is the p-value? (Round your answer to four decimal places.) 0.0044 (c) With a = 0.05, what is your hypothesis testing conclusion? O Reject Ho. There is sufficient evidence to conclude that 4- #2 > 0. Do not reject Ho There is insufficient evidence to conclude that ,-H, > 0. Reject Ho. There is insufficient evidence to conclude that 4- 2 > 0. Do not Reject Ho: There is sufficient evidence to conclude that u, - H2 > 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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You may need to use the appropriate appen ix table or technology to answer this question.
Consider the following hypothesis test.
Ho: H1 - 2 s0
H: H1- H2 > 0
The following results are for two independent samples taken from the two populations.
Sample 1
Sample 2
n = 40
n2 = 50
= 25.3
x, = 22.8
1= 5.9
02 = 6
(a) What is the value of the test statistic? (Round your answer to two decimal places.)
1.84
(b) What is the p-value? (Round your answer to four decimal places.)
0.0044
(c) With a = 0.05, what is your hypothesis testing conclusion?
Reject Ho. There is sufficient evidence to conclude that 4, - H2 > 0.
O Do not reject H,. There is insufficient evidence to conclude that 4, - H2 > 0.
O Reject Ho. There is insufficient evidence to conclude that u, - H2 > 0.
Do not Reject Ho. There is sufficient evidence to conclude that u, - H2 > 0.
Transcribed Image Text:You may need to use the appropriate appen ix table or technology to answer this question. Consider the following hypothesis test. Ho: H1 - 2 s0 H: H1- H2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n = 40 n2 = 50 = 25.3 x, = 22.8 1= 5.9 02 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) 1.84 (b) What is the p-value? (Round your answer to four decimal places.) 0.0044 (c) With a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is sufficient evidence to conclude that 4, - H2 > 0. O Do not reject H,. There is insufficient evidence to conclude that 4, - H2 > 0. O Reject Ho. There is insufficient evidence to conclude that u, - H2 > 0. Do not Reject Ho. There is sufficient evidence to conclude that u, - H2 > 0.
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