Question

Question Help 9.2.30 A survey was conducted that asked 1018 people how many books they had read in the past year. Results indicated that136 books and the interval 166 books. Constructa 90% confidence interval for the mean number of books people read. Interpret Click the loon to view the table of critical values Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice (Use ascending order. Round to two decimal places as needed) O A repeated samples are taken, 90% of them will have a sample mean between and OB There is 90% confidence that the population mean number of books read is between and OC There is a 90% chance that the true mea number of books read is between and

Answer 1

Since the sample size is large, so we should use z-distribution.

At 90% confidence level, the critical value is z_0.05 = 1.645

The 90% confidence interval is

T士 20.5 * -

16.6 = 13.6 +1.645 * V1018

= 13.6±0.86

= 12.74.14.46

Option - C) There is a 90% chance that the true mean number of books read is between 12.74 and 14.46.