Based on responses of 1467 subjects in a General Social Survey, a 95% confidence

Question

Based on responses of 1467 subjects in a General Social Survey, a 95% confidence interval for the mean number of close friends equal (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 p 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 mu. If you are interested in estimating the population mean using the sample mean, as sample size increases, the standard deviation of the sampling distribution of the: a. population mean increases b. sample mean increases c. population mean decreases, d. sample mean decreases e. population mean is unchanged f. sample mean is unchanged The Central Limit Theorem implies: a. All variables have approximately bell-shaped data distributions if a random sample contains at least about 30 observations. b. Population distributions are normal whenever the population size is large c. For sufficiently large random samples, the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population distribution d. The sampling distribution of the sample mean looks more like the population distribution as the sample size increases 10. The Bureau of Labor Statistics announces that last month :t interviewed all members of the

Explanation / Answer

By various definitions of the central limti theorem and confidence itnevral we have

Q-7-Part-b and e

Q-8-Part-d and e

Q-9-Part- c and d

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