Math153 Name(s): _________________________________________

4/06 _______________________________________________

_______________________________________________

Project10 Minitab: (10 points)

Due: Friday, May 5, 2006

Data were taken from a student project “When Will You Say I Do.”

Thirty-one male students at Essex were randomly sampled. The average age at which they planned to marry (or got married) was 27.71 years with a standard deviation of 2.56 years.

Nineteen female students at Essex were randomly sampled. The average age at which they planned to marry (or got married) was 24.63 years with a standard deviation of 2.57 years.

1) Test the hypothesis, at the 5% significance level, that m₁ (the average planned marriage age for male Essex students) = m₂ (the average planned marriage age for female Essex students).

Use Minitab14. Submit Minitab print-outs.

H₀: ________________________

H_A: ________________________

1. a = _______

2. Test statistic ________________

p-value ____________________

3. Conclusion: ____________________________________________

4. State the conclusion in your own words.

5. Did you assume equal population variances?________ Why or why not?

2) Find a 95% confidence interval for m₁ - m₂ , the difference in the population average marriage ages comparing males to females.

______________ TO ______________

3) Is your result consistent with the hypothesis test in part (1)? _____ Why or Why not?

4) Submit the print-out of the session window from Minitab14.