Chapter 03.4 Exercise Question 11

You have an ordinary six-sided die, but you suspect it may be loaded. If the die is fair, then the probability of rolling a 6 equals 1/6.

Let = the probability of rolling a 6. To estimate to within 0.01 at the 95% confidence level, you need a sample size of ____________.

a. 5996

b. 5556

c. 75

d. 1389

Compute the value of (1 ) for values of = 0, 1/4, 1/2, 3/4, 1. What value of gives the larges possible value for SD (p^)?

_________________________________

the absolute tolerance is +/-0.02

Chapter 03.4 Exercise Question 12

Ordinary dice have six equally likely sides. You can buy dice online with 4 sides, 6 sides, 8 sides, or 10 sides. Suppose you want to estimate the probability of rolling a 1 for each of dice.

Which die will give an estimate for the probability of rolling a 1 with the largest SD?

a. 6 sides

b. 10 sides

c. 4 sides

d. 8 sides

he SD forp^

is(1-)/n

What values of give a value of 0 for the SE?

a. When =1/4 or =0

b. When =0 or =1

c. When =1/2 or =1

d. When =0 or =1/2

Explain your answer in part (a).

a. The value closest to 0.1 will give the largest standard deviation

b. The smallest value of will give the largest standard deviation

c. The value farthest from 0.5 will give the largest standard deviation

d. The value closest to 0.5 will give the largest standard deviation

Chapter 03.4 Exercise Question 15

In order to investigate how many hours a day students at their school tend to spend on course work outside of regularly scheduled class time, a statistics student takes a random sample of 150 students from their school by randomly choosing names from a list of all full-time students at their school that semester. The student finds that the average reported daily study hours among the 150 students is 2.23 hours. The standard deviation of the hours studied is 1.05 hours. Which confidence interval would be the widest?

a. 90%

b. 99%

c. 95%

d. 85%

Chapter 03.4 Exercise Question 23

In order to understand why consumers visit their store, a local business conducts a survey by asking the next 100 people who visit their store to fill out a short survey. The business finds that 40 of the 100 people state that the main reason they visited the store was because the store is running a sale on coats that week.

A confidence interval is constructed for the population proportion of consumers who would visit the store because of the coat sale. Which confidence interval would be the widest?

a. 99%

b. 95%

c. 85%

d. 90%

Chapter 03.4 Exercise Question 28

In order to understand why consumers visit their store, a local business conducts a survey by asking the next 100 people who visit their store to fill out a short survey. The business finds that 40 of the 100 people state that the main reason they visited the store was because the store is running a sale on coats that week.

If the sample size were 10 instead of 100, the width of a 95% confidence interval would

a. Increase

b. Decrease

c. remain uncharged

Chapter 03.4 Exercise Question 32

Suppose we have a collection of the heights of all students at your college. Each of the 250 people taking statistics randomly takes a sample of 40 of these heights and constructs a 95% confidence interval for mean height of all students at the college. Which of the following statements about the confidence intervals is most accurate?

a. About 95% of the intervals will contain the population mean height.

b. About 95% of the time, a student's sample mean height will be contained in his or her interval.

c. About 95% of the heights of all students at the college will be contained in these intervals.

d. About 95% of the intervals will be identical.