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 = 5.3. 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.)

Answer 1

Answer:

$(0.55525, 1.24475)$

Step-by-step explanation:

Given that to save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause.

                     Men    women

Sample size      5        5

Mean rate        6.2     5.3

Mean diffference = $6.2-5.3=0.9$

Std error for difference = 0.25 (given)

Since we have two groups and also sample sizes are very small we can use t significant value for finding out confidence interval

df = 5+5-2 =8

t critical value for 80% two tailed = 1.397

Conf interval 80%

=$(0.9-1.397*0.25, 0.9+1.397*0.25)\\= (0.55525, 1.24475)$