To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause. They ask a sample of 5 men and 5 women to rate the importance of their cause on a scale from 1 (not important at all) to 7 (very important). The ratings for men were M1 = 6.4. The ratings for women were M2 = 5.3. If the estimated standard error for the difference is (sM1 - M2) equal to 0.25, then:
(a) Find the confidence limits at an 80% CI for these two independent samples.
(b) Can we conclude that men or women are more supportive to their cause? Explain.