Consider the following hypothesis test. Hoi Hy- Hz = 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n, = 35 n2 = 40 = 13.6| x, = 10.1 = 5.8 $2 = = 8.4 (a) What is the value of the test statistic? (Use x, - x2. Round your answer to three decimal places.)

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Consider the following hypothesis test.
Hoi H1- Hz = 0
The following results are from independent samples taken from two populations.
Sample 1
Sample 2
= 35
n2
= 40
X1
= 13.6
= 10.1
= 5.8
S2 = 8.4
%3D
(a) What is the value of the test statistic? (Use x, - x2. 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 Reject Ho. There is insufficient evidence to conclude that µ, - 42 # 0.
O Do not Reject Ho. There is sufficient evidence to conclude that u, - Hz # 0.
Do not Reject Ho. There is insufficient evidence to conclude that u, - H2 # 0.
Reject Ho. There is sufficient evidence to conclude that µ, - H2 # 0.
Transcribed Image Text:Consider the following hypothesis test. Hoi H1- Hz = 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 = 35 n2 = 40 X1 = 13.6 = 10.1 = 5.8 S2 = 8.4 %3D (a) What is the value of the test statistic? (Use x, - x2. 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 Reject Ho. There is insufficient evidence to conclude that µ, - 42 # 0. O Do not Reject Ho. There is sufficient evidence to conclude that u, - Hz # 0. Do not Reject Ho. There is insufficient evidence to conclude that u, - H2 # 0. Reject Ho. There is sufficient evidence to conclude that µ, - H2 # 0.
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