Question

A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 961 people age 15 or​ older, the mean amount of time spent eating or drinking per day is 1.34 hours with a standard deviation of 0.52 hour. Complete parts ​(a) through ​(d) below.

Select the correct choice below and fill in the answer​ boxes, if​ applicable, in your choice. ​(Type integers or decimals rounded to three decimal places as needed. Use ascending​ order.)

B. The nutritionist is 90​% confident that the mean amount of time spent eating or drinking per day is between _______ and _______ hours.

Answer 1

t critical value at 0.10 level with 960 df = 1.646

90% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

1.34 - 1.646 * 0.52 / sqrt(961) < < 1.34 + 1.646 * 0.52 / sqrt(961)

1.312 < < 1.368

The nutritionist is 90% confident that the mean amount of time spent eating or drinking per day

is between 1.312 and 1.368 hours.