8.114 Multiple choice: Number of close friends Based on responses of 1467 subjects in a General Social Survey, a 95% confidence interval for the mean number of close friends equals (6.8, 8.0). Which two of the following interpretations are correct?

a. We can be 95% confident that x is between 6.8 and 8.0.

b. We can be 95% confident that m is between 6.8 and 8.0.

c. Ninety-five percent of the values of X = number of close friends (for this sample) are between 6.8 and 8.0.

d. If random samples of size 1467 were repeatedly selected, then 95% of the time x would be between 6.8 and 8.0.

e. If random samples of size 1467 were repeatedly selected, then in the long run 95% of the confidence intervals formed would contain the true value of m.