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In what follows use any of the following tests/procedures: Regression, multiple regressions, confidence intervals, one-sided t-test...

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.
Math   Statistics-And-Probability   
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Homework Answers

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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