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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

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 wereM1=6.5.

The ratings for women wereM2=5.5.

If the estimated standard error for the difference is equal to 0.25, then consider the following.

(a) Find the confidence limits at an 80% CI for these two independent samples. (Round your answers to two decimal places.)

_________________to__________________

(b) Can we conclude that men or women are more supportive to their cause? Explain.

  • Yes, the lower and upper limits of the confidence interval are positive, indicating that mean ratings of importance are higher for the population of men compared to women.
  • Yes, the lower and upper limits of the confidence interval are negative, indicating that mean ratings of importance are higher for the population of women compared to men.
  • No, the lower and upper limits of the confidence interval contain zero, indicating that mean ratings of importance may not be higher for the population of men or women.
  • No, the lower and upper limits of the confidence interval are negative, indicating that mean ratings of importance may not be higher for the population of men or women.

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