Question: Chapter 8 Homework Problems BAD 2323 Confidence Intervals (Use the Confidence Interval PowerPoint) Chapter 8 Homework Confidence Interval Formula Confidence Level 90% 1.65 95% 1.96

Chapter 8 Homework Problems

BAD 2323

Confidence Intervals (Use the Confidence Interval PowerPoint)

Chapter 8 Homework

Confidence Interval Formula

Confidence

Level

90%

1.65

95%

1.96

99%

2.58

Two decimal places for all calculations (and all steps) for all problems.

A study found that the average time it took a person to find a new job was 5 months. Assume the standard deviation is 0.8 month. Find the following:(graded for accuracy)

a. Find the 95% confidence interval of the mean for a sample of 36 job seekers.

b. Find the 95% confidence interval of the mean for a sample of 90 job seekers.

c. Find the 99% confidence interval of the mean for a sample of 36 job seekers.

d. Find the 99% confidence interval of the mean for a sample of 90 job seekers.

A study showed that the average bowling score was 186. The standard deviation of the population was 6.(graded for accuracy)

a. Find the 99% confidence interval of the mean score for a sample of 40 bowlers.

b. Find the 99% confidence interval of the mean score for a sample of 100 bowlers.

c. Find the 90% confidence interval of the mean score for a sample of 40 bowlers.

d. Find the 90% confidence interval of the mean score for a sample of 100 bowlers.

e. Compare your answers for parts b and d. Which interval is more precise? Why?

A study found that the average time it took a business to earn a profit was 22 months. Assume the standard deviation was 1.5 months. Find the following:

a. Find the 95% confidence interval of the mean for a sample of 47 businesses.

b. Find the 95% confidence interval of the mean for a sample of 120 businesses.

c. Find the 99% confidence interval of the mean for a sample of 47 businesses.

d. Find the 99% confidence interval of the mean for a sample of 120 businesses.

e. Compare your answers for parts a and c. Which interval is more precise? Why?

What does 90%, 95%, and 99% indicate about the chances that the interval captures the mean of the population?

Calculate the significance level for a 90% confidence level.

Calculate the significance level for a 95% confidence level.

Calculate the significance level for a 99% confidence level.

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