D Question 13 1 pts Fill in the blank. Increasing the confidence level increases the margin of error making the confidence interval wider. D Question 14 1 pts A random sample of 25 exam scores is taken from the normally distributed population with unknown mean and a populations standard deviation know and equal to 3. The sample mean score is 68. Find a 90% confidence interval estimate for the population mean of exam scores. Please round to the nearest hundredths and write your answer in the form ( , ); for example (31,34) or (25,46). Do not type in any extra spaces. (notice that the only difference between this question and EXERCISE 1 is the change in the sample size - it was decreased; is the new confidence interval narrower or wider?) D Question 15 1 pts A random sample of 100 exam scores is taken from the normally distributed population with unknown mean and a populations standard deviation know and equal to 3. The sample mean score is 68. Find a 90% confidence interval estimate for the population mean of exam scores. Please round to the nearest hundredths and write your answer in the form ( , ); for example (31,34) or (25,46). Do not type in any extra spaces. (notice that the only difference between this question and EXERCISE 1 is the change in the sample size - it was increased; is the new confidence interval narrower or wider?) D Question 16 1 pts Fill in the blank. Increasing the sample size [ Select ] the margin of error making the confidence interval [ Select ] D Question 17 1 pts Other things being equal, it is better to have more confidence than less. We would also rather have a smaller margin of error. However, there is a trade off. If we increase the level of confidence, we must increase critical value, which in turn increases [ Select ]