In sociology, a personal network is defined as the people with whom you make frequent contact. A research program used a stratified random sample of men and women born between 1908 and 1937 to gauge...

Extracted text: In sociology, a personal network is defined as the people with whom you make frequent contact. A research program used a stratified random sample of men and women born between 1908 and 1937 to gauge the size of the personal network of older adults. Each adult in the sample was asked to "please name the people you have frequent contact with and who are also important to you." Based on the number of people named, the personal network size for each adult was determined. The responses of 2,824 adults in this sample yielded statistics on network size, that is, the mean number of people named per person was 14.6, with a standard deviation of 10.4. Complete parts a through c. a. Form a 95% confidence interval for the mean personal network size of all older adults. (|| D (Round to the nearest hundredth as needed.) b. Give a practical interpretation of the interval found in part a. Choose the correct answer below. O A. We can be 5% confident that any network size lies between the lower bound and the upper bound of the confidence interval. B. We can be 5% confident that u lies between the lower bound and the upper bound of the confidence interval. O C. We can be 95% confident that u lies between the lower bound and the upper bound of the confidence interval. D. We can be 95% confident that any network size lies between the lower bound and the upper bound of the confidence interval. c. The personal network size of all older adults is known to have a highly skewed distribution. Does this impact the validity of the inference, found in part b? A. It does impact the validity of the interpretation because the interpretation was based upon a sample instead of the entire population. B. It does not impact the validity of the interpretation because the interpretation is based on highly skewed results. C. It does not impact the validity of the interpretation because the sampling space of the sample mean is approximately normal from the Central Limit Theorem. O D. It does impact the validity of the interpretation because the interpretation is based on highly skewed results.