You may need to use the appropriate technology to answer this question. 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 1 = 35 "2 = 40

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Question 4

You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
но н1-н2=0
На М1 - M2+ 0
The following results are from independent samples taken from two populations.
Sample 2
Sample 1
1 = 35
"2
X₁ = 13.6
x₂ = 10.1
S₁ = 5.2
$2 = 8.3
(a) What is the value of the test statistic? (Use ₁ - X₂. Round your answer to three decimal places.)
= 40
(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 sufficient evidence to conclude that μ₁ −μ₂ + 0.
Reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ * 0.
Do not Reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ # 0.
O Do not Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ = 0.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. но н1-н2=0 На М1 - M2+ 0 The following results are from independent samples taken from two populations. Sample 2 Sample 1 1 = 35 "2 X₁ = 13.6 x₂ = 10.1 S₁ = 5.2 $2 = 8.3 (a) What is the value of the test statistic? (Use ₁ - X₂. Round your answer to three decimal places.) = 40 (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 sufficient evidence to conclude that μ₁ −μ₂ + 0. Reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ * 0. Do not Reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ # 0. O Do not Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ = 0.
Expert Solution
Step 1: Solution

Given information:

n subscript 1 equals 35
x with bar on top subscript 1 equals 13.6
s subscript 1 equals 5.2
n subscript 2 equals 40
x with bar on top subscript 2 equals 10.1
s subscript 2 equals 8.3
alpha equals 0.05

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