Consider the following hypothesis test. Hoi H1- H2 = 0 Ha: H1 - H2 # 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n, = 35 n2 = 40 x, = 13.6 | x, = 10.1 S1 = 5.7 S2 = 8.9 (a) What is the value of the T test statistic? (Use the order Sample 1 - Sample 2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the T distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? O Do not Reject Ho. There is sufficient evidence to conclude that u, - µ, # 0. O Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0. O Reject Ho. There is insufficient evidence to conclude that u, - µ, # 0. O Do not Reject Ho. There is insufficient evidence to conclude that u, - u, # 0.

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Consider the following hypothesis test.
Ho: H1 - 42 = 0
Ha: H1 - 42 # 0
The following results are from independent samples taken from two populations.
Sample 1
Sample 2
n1 = 35
= 40
x, = 13.6
X2 =
= 10.1
= 5.7
S2 = 8.9
(a) What is the value of the T test statistic? (Use the order Sample 1 - Sample 2. Round your answer to three decimal places.)
(b) What is the degrees of freedom for the T distribution? (Round your answer down to the nearest integer.)
(c) What is the p-value? (Round your answer to four decimal places.)
p-value
(d) At a = 0.05, what is your conclusion?
Do not Reject Ho. There is sufficient evidence to conclude that u, - µ, + 0.
Reject Ho. There is sufficient evidence to conclude that u, - µ, + 0.
Reject Ho.
There is insufficient evidence to conclude that u, - µ, # 0.
Do not Reject Ho.
There is insufficient evidence to conclude that u, - µ2 + 0.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: H1 - 42 = 0 Ha: H1 - 42 # 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 = 40 x, = 13.6 X2 = = 10.1 = 5.7 S2 = 8.9 (a) What is the value of the T test statistic? (Use the order Sample 1 - Sample 2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the T distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value (d) At a = 0.05, what is your conclusion? Do not Reject Ho. There is sufficient evidence to conclude that u, - µ, + 0. Reject Ho. There is sufficient evidence to conclude that u, - µ, + 0. Reject Ho. There is insufficient evidence to conclude that u, - µ, # 0. Do not Reject Ho. There is insufficient evidence to conclude that u, - µ2 + 0.
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