3. The operations manager of a sales company wants to see whether there is a significant difference in the ages of male and female customers. He selected a sample of 35 samples for each group. The ages are shown in the table below: Male x₁ = 27.3 Female x₂ = 28 %₂= 3.1 ₁ = 2.4 n₁ = 35 n₂ = 35 At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Solution: Step 1: Null and alternative hypothesis Ho: H₂: Step 2: Significance level α = Step 3: Test statistic: Step 4: Decision rule: Step 5: Decision:

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Lesson: Hypothesis Testing: Testing the Population Mean
3. The operations manager of a sales company wants to see whether there is a significant difference in
the ages of male and female customers. He selected a sample of 35 samples for each group. The ages
are shown in the table below:
Male
x₁ = 27.3
Female
x₂ = 28
%₂= 3.1
o₂ = 2.4
n₁ = 35
n₂ = 35
At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the
two groups.
Solution:
Step 1: Null and alternative hypothesis
H₂:
H₂:
Step 2: Significance level
α =
Step 3: Test statistic:
Step 4: Decision rule:
Step 5: Decision:
Transcribed Image Text:3. The operations manager of a sales company wants to see whether there is a significant difference in the ages of male and female customers. He selected a sample of 35 samples for each group. The ages are shown in the table below: Male x₁ = 27.3 Female x₂ = 28 %₂= 3.1 o₂ = 2.4 n₁ = 35 n₂ = 35 At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Solution: Step 1: Null and alternative hypothesis H₂: H₂: Step 2: Significance level α = Step 3: Test statistic: Step 4: Decision rule: Step 5: Decision:
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