Question

In what follows use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one sided T-test or two sided T-test. All the procedures should be done with 5% P-value or 95% confidence interval.Some answers are approximated, choose the most appropriate answer. Open Man_Body data. SETUP: Some people claim that Man chest size is on average larger than the Hip size. Given the data your job is to confirm or disprove this claim.

I. What test/procedure did you perform? (6.66 points)

• a. One sided T-test
• b. Two sided T-test
• c. Regression
• d. Confidence interval

II. Statistical interpretation? (6.66 points)

• a. Since P-value is small we are confident that the slope is not zero.
• b. Since P-value is small we are confident that the averages are different.
• c. Since P-value is too large the test is inconclusive.
• d. None of these.

III. Conclusion? (6.66 points)

• a. Yes, this is a reasonable belief.
• b. No, we cannot confirm that this is a reasonable belief.

Txt link: https://www.limes.one/Content/DataFiles/Man_Body.txt

Thank you!

Answer 1

People claim that Man chest size is on average larger than the Hip size. In this problem comparison of two means is asked, hence we preform two sample t-test.

I. What test/procedure did you perform?

Two sided T-test

II. Statistical interpretation?

Two-Sample T-Test and CI: CHEST, HIP

Method

μ₁: mean of CHEST

µ₂: mean of HIP

Difference: μ₁ - µ₂

Equal variances are not assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
CHEST	252	100.82	8.43	0.53
HIP	252	99.90	7.16	0.45

Estimation for Difference

Difference	95% Lower Bound for Difference
0.919	-0.229

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ > 0

T-Value	DF	P-Value
1.32	489	0.094

Since P-value is too large the test is inconclusive.

III. Conclusion?

b. No, we cannot confirm that this is a reasonable belief.