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.

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