Chapter 11.1, Problem 2E

To determine

To find the farthest point of these remaining trials from $43\%$ for each sample size.

Explanation of Solution

Given:

The Pew Research Center recently conducted a survey of a random sample of $200$ teens and concluded that $43\%$ of all teens who take their cell phones to school text in class on a daily basis.

Calculation:

The following is the record of the percent of teens who text for each trial in the table given below:

Sample Size	1	2	3	4	5	6	7	8	9	10
20	28%	40%	30%	32%	45%	46%	48%	44%	38%	60%
50	78%	39%	48%	65%	49%	39%	68%	55%	27%	39%
100	42%	43%	44%	49%	38%	78%	79%	54%	67%	34%

Discarding all the farthest points in each sample size-

The below will be the updated table-

Sample Size	1	2	3	4	5	6	7	8	9	10
20	28%	40%	30%	32%	45%	46%	48%	44%	38%	Discard
50	Discard	39%	48%	65%	49%	39%	68%	55%	27%	39%
100	42%	43%	44%	49%	38%	78%	Discard	54%	67%	34%

The farthest point here is $78\%$ .