To save money, a local charity organization wants to target its mailing requests

Question

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 = 6.2.

The ratings for women were

M2 = 4.9.

If the estimated standard error for the difference

(sM1 M2)

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.)

Explanation / Answer

z value for 80% CI is 1.28

now CI for mean difference is x1bar-xbar2+/-z×sd

(6.2-4.9)+/-1.28*0.25=(1.3+/-0.32)=(0.98,1.62)

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