Question

# In what follows use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one sided...

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.

Thank you!

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.

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