18. What is the decision rule for the hypothesis test stated in the preamble of Section E? O We reject Ho if t ≤ −1.7056 or t ≥ 1.7056 We reject Hå if t ≥ −2.0595 and t ≤ 2.0595 We reject Ho if t ≤ −2.0595 or t≥ 2.0595 O We reject Ho if t ≤ −1.7801 or t ≥ 1.7801

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18. What is the decision rule for the hypothesis test stated in the preamble of Section E?
We reject Ho if t ≤ −1.7056 or t ≥ 1.7056
We reject Ho if t ≥ −2.0595 and t ≤ 2.0595
We reject Ho if t ≤ -2.0595 or t≥ 2.0595
O We reject Ho if t ≤ -1.7801 or t≥ 1.7801
Transcribed Image Text:18. What is the decision rule for the hypothesis test stated in the preamble of Section E? We reject Ho if t ≤ −1.7056 or t ≥ 1.7056 We reject Ho if t ≥ −2.0595 and t ≤ 2.0595 We reject Ho if t ≤ -2.0595 or t≥ 2.0595 O We reject Ho if t ≤ -1.7801 or t≥ 1.7801
Section E: The IQ scores of a sample of 15 boys randomly selected from the population of fifteen year-old boys in
Victoria were recorded, and the sample mean and sample standard deviation from this sample were 106 and 4,
respectively. The IQ scores of a sample of 12 girls randomly selected from the population of fifteen year-old girls in
Victoria were recorded, and the sample mean and sample standard deviation from this sample were 114 and 5,
respectively. Let μ₁ denote the mean IQ score for fifteen year-old boys in Victoria and let µ₂ denote the mean IQ score
for fifteen year-old girls in Victoria. Researchers want to test, at the 5% level of significance, the null hypothesis
-
Ho: M1
- µ2 = −1 vs the alternative hypothesis Ha : µ₁ − µ₂ −1. Assume the population standard deviations of
the two groups are equal and that the assumptions of a two-independent sample t-test are satisfied. Answer the
following questions.
Transcribed Image Text:Section E: The IQ scores of a sample of 15 boys randomly selected from the population of fifteen year-old boys in Victoria were recorded, and the sample mean and sample standard deviation from this sample were 106 and 4, respectively. The IQ scores of a sample of 12 girls randomly selected from the population of fifteen year-old girls in Victoria were recorded, and the sample mean and sample standard deviation from this sample were 114 and 5, respectively. Let μ₁ denote the mean IQ score for fifteen year-old boys in Victoria and let µ₂ denote the mean IQ score for fifteen year-old girls in Victoria. Researchers want to test, at the 5% level of significance, the null hypothesis - Ho: M1 - µ2 = −1 vs the alternative hypothesis Ha : µ₁ − µ₂ −1. Assume the population standard deviations of the two groups are equal and that the assumptions of a two-independent sample t-test are satisfied. Answer the following questions.
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