Consider the following hypothesis test. Ho: H1 - H2 = 0 Hai H1 - H2 # 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = = 40 X1 = 13.6 X2 = 10.1 S, = 5.3 S2 = 8.4

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LU use tne appro
gy to aiIswer
Consider the following hypothesis test.
Hoi H1- H2
= 0
Ha: H1 - 42 # 0
The following results are from independent samples taken from two populations.
Sample 1
Sample 2
= 35
n2 =
= 40
X1
= 13.6
X2
= 10.1
S1
= 5.3
S, = 8.4
(a) What is the value of the test statistic? (Use x, - X,. 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
%3D
(d) At a = 0.05, what is your conclusion?
Reject Ho. There is insufficient evidence to conclude that u,
H2 # 0.
Do not Reject Ho. There is sufficient evidence to conclude that u, - u, + 0.
Do not Reject Ho:
There is insufficient evidence to conclude that
H2 # 0.
Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0.
Transcribed Image Text:LU use tne appro gy to aiIswer Consider the following hypothesis test. Hoi H1- H2 = 0 Ha: H1 - 42 # 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 = 35 n2 = = 40 X1 = 13.6 X2 = 10.1 S1 = 5.3 S, = 8.4 (a) What is the value of the test statistic? (Use x, - X,. 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 %3D (d) At a = 0.05, what is your conclusion? Reject Ho. There is insufficient evidence to conclude that u, H2 # 0. Do not Reject Ho. There is sufficient evidence to conclude that u, - u, + 0. Do not Reject Ho: There is insufficient evidence to conclude that H2 # 0. Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0.
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