Question

In what follows use any of the following tests/procedures: Regression, multiple regressions, 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

Upload CARS data. SETUP: It is believed that Lincolns are heavier than 3500 pounds. Given the data your job is to confirm or disprove this belief. Lincoln Data: 3681 3681 3768 3768 4369 4369 4474

**9. What test/procedure did you perform?**

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

**10. What is the P-value/margin of error?**

- a. 339.06234
- b. 0.598587029
- c. 0.299293514
- d. 8.065421
- e. None of these

**11. Statistical Interpretation**

- a. Due to small margin of error we are confident that the average mpg is above 3500.
- b. Since P-value is large we cannot claim that the averages are different.
- c. Since P-value is very small we are confident that the slope of regression line is not zero.
- d. None of these

**12. Conclusion**

- a. Yes, I am confident that the above assertion is correct.
- b. No, we cannot claim that the above assertion is correct.

Answer #1

Given,

X bar = 4015.714

μ0 = 3500

S = 366.615

n = 7

H0: μ0 = 3500

Ha: μ0 > 3500

9)

Confidence interval

95%CI | ||

tc | 2.446912 | T.INV.2T(D1,D2) |

ME | 339.0623 | tc*(S/SQRT(n)) |

Upper | 4354.777 | X bar + tc*(S/SQRT(n)) |

Lower | 3676.652 | X bar - tc*(S/SQRT(n)) |

10)

ME = 339.06234

Population Mean 3500 outside the interval. So, we reject H0

**11)Statistical Interpretation**

a. Due to small margin of error we are confident that the average mpg is above 3500.

**12)Conclusion**

a. Yes, I am confident that the above assertion is correct.

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