Chapter 8 QUIZ

TRUE OR FALSE

Question 8.327

1. True or false: In Figure 3 (page 435), the confidence level is 90%, so 90% of the intervals must contain . Explain your answer.

Question 8.328

2. True or false: The curve is symmetric about 0, just like the curve is. Therefore, we can use all our symmetry techniques with the curve, too.

FILL IN THE BLANK

Question 8.329

3. Suppose we cut a margin of error in half. The sample size requirement then becomes __________ times larger.

Question 8.330

4. Our estimate of is __________ precise using the curve instead of the curve.

SHORT ANSWER

Question 8.331

5. is used to find the value of . Is a probability or a value of or a value of ?

Question 8.332

6. What are the conditions for constructing a interval?

CALCULATIONS AND INTERPRETATIONS

Question 8.333

7. College Education Costs. A random sample of 225 colleges yielded a mean cost of college education of $30,500 per year. Assume that the population standard deviation is $5000.

  1. Compute and interpret the margin of error for a confidence interval with 95% confidence.
  2. Construct and interpret a 95% confidence interval for the population mean cost of college education.

Question 8.334

8. Crash Test Data. The National Highway Traffic Safety Administration collects data on crash tests for new motor vehicles. They reported that the mean femur load (force applied to the femur) in a frontal crash for the passenger in a Chevrolet Equinox SUV was 1003 pounds. Assume the data are normally distributed, the population standard deviation was 300 pounds, and the sample size was 9.

  1. Compute and interpret the margin of error for a confidence interval with 90% confidence.
  2. Construct and interpret a 90% confidence interval for the population mean femur load in a frontal crash for the passenger in a Chevrolet Equinox SUV.

Question 8.335

9. Independence for Quebec? A poll conducted by the newspaper La Presse reported that 340 of 1000 randomly chosen Quebec adults surveyed would vote “Yes” in a referendum for independence from Canada.

  1. If appropriate, find the margin of error for confidence level 99%. What does this number mean?
  2. If appropriate, find a 99% confidence interval for the population proportion of all Quebec residents who favor independence for the province of Quebec.

Question 8.336

taxreturn

10. Tax Returns. In Example 10 in Section 3.2, Ashley and Brandon worked at an accounting firm preparing tax returns. Their Chief Accountant kept careful track of the amount of time (in hours) for all the tax returns that they prepared in the last week of March, shown in the accompanying table. Assume both data sets are normally distributed.

Ashley 5 7 8 9 11
Brandon 3 5 7 11 14

485

  1. Construct and interpret a 95% confidence interval for the population standard deviation of Ashley's preparation time.
  2. Construct and interpret a 95% confidence interval for the population standard deviation of Brandon's preparation time.

Question 8.337

11. Quality of Education in America. The National Assessment of Educational Progress (NAEP) administers exams to a nationwide sampling of students to assess the quality of education in America.

Suppose NAEP wants to estimate the population proportion of American schoolchildren who would answer a given question correctly. Find a sample size that would give a margin of error of 0.03 with 90% confidence.