Statistics: Informed Decisions Using Data (5th Edition)
Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 9, Problem 1RE

(a)

To determine

The critical value of t at the confidence level of 99%.

(a)

Expert Solution
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Answer to Problem 1RE

Solution: The critical value of t at 99% level of confidence for the sample size of n=18 is t0.005=2.898_.

Explanation of Solution

Given: The alpha is 0.01 and the size of the sample is n=18.

Explanation: For 99% confidence level, the confidence interval has 0.5% for its greater-than probability and 0.5% for its less-than probability. Hence, the required area is in the right tail of 0.005. Since the sample size is n=18, the degrees of freedom are 181=17.

Obtain the critical value of t by using the distribution table of the t-test. Then, look for 17 degrees of freedom in the row and 1% level of significance in the column. The required t-value is the value that intersects this row and column.

The critical value of t with 17 degrees of freedom is obtained as 2.898 from the table.

(b)

To determine

The critical value of t at 90% level of confidence.

(b)

Expert Solution
Check Mark

Answer to Problem 1RE

Solution: The critical value of t at 90% level of confidence for the sample size of n=27 is t0.05=1.706_.

Explanation of Solution

Given: The alpha is 0.1 and the size of the sample is n=27.

Explanation: For 90% confidence level, the confidence interval has 5% for its greater-than probability and 5% for its less-than probability. Hence, the required area is in the right tail of 0.05. Since the sample size is n=27, the degrees of freedom are 271=26.

Obtain the critical value of t by using the distribution table of the t-test. Then, look for 26 degrees of freedom in the row and 10% level of significance in the column. The required t-value is the value that intersects this row and column.

The critical value of t with 26 degrees of freedom is obtained as 1.706 from the table.

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Chapter 9 Solutions

Statistics: Informed Decisions Using Data (5th Edition)

Ch. 9.1 - Prob. 11AYUCh. 9.1 - In Problems 11–14, determine the point estimate of...Ch. 9.1 - In Problems 11–14, determine the point estimate of...Ch. 9.1 - Prob. 14AYUCh. 9.1 - In Problems 15–20, construct a confidence interval...Ch. 9.1 - In Problems 15–20, construct a confidence interval...Ch. 9.1 - In Problems 15–20, construct a confidence interval...Ch. 9.1 - In Problems 15–20, construct a confidence interval...Ch. 9.1 - Prob. 19AYUCh. 9.1 - Prob. 20AYUCh. 9.1 - Prob. 21AYUCh. 9.1 - 22. You Explain It! Superstition A USA...Ch. 9.1 - Prob. 23AYUCh. 9.1 - Prob. 24AYUCh. 9.1 - NW 25. Giving Blood A survey of 2306 adult...Ch. 9.1 - 26. Saving for Retirement? A Retirement Confidence...Ch. 9.1 - Prob. 27AYUCh. 9.1 - 28. Family Values In a USA Today/Gallup poll, 768...Ch. 9.1 - Prob. 29AYUCh. 9.1 - 30. Reading In a survey of 700 community college...Ch. 9.1 - Prob. 31AYUCh. 9.1 - 32. Deficit Reduction The Sullivan Statistics...Ch. 9.1 - Prob. 33AYUCh. 9.1 - Prob. 34AYUCh. 9.1 - NW 35. High-Speed Internet Access A researcher...Ch. 9.1 - 36. Home Ownership An urban economist wishes to...Ch. 9.1 - 37. A Penny for Your Thoughts A researcher for the...Ch. 9.1 - Prob. 38AYUCh. 9.1 - Prob. 39AYUCh. 9.1 - Prob. 40AYUCh. 9.1 - Prob. 41AYUCh. 9.1 - Prob. 42AYUCh. 9.1 - Prob. 43AYUCh. 9.1 - 44. Simulation – When Model Requirements Fail A...Ch. 9.1 - 45. Cauliflower? Jane wants to estimate the...Ch. 9.1 - 46. Walk to Work Alan wants to estimate the...Ch. 9.1 - 47. Putting It Together: Hand Washing The American...Ch. 9.1 - Prob. 48AYUCh. 9.1 - Prob. 49AYUCh. 9.1 - Prob. 50AYUCh. 9.1 - Prob. 51AYUCh. 9.1 - Prob. 52AYUCh. 9.1 - Prob. 53AYUCh. 9.1 - 54. The 114th Congress of the United States of...Ch. 9.2 - 1. As the number of degrees of freedom in the...Ch. 9.2 - 2. True or False: The t-distribution is centered...Ch. 9.2 - 3. The notation tα is the t-value such that the...Ch. 9.2 - 4. True or False: The value of t0.10 with 5...Ch. 9.2 - 5. True or False: To construct a confidence...Ch. 9.2 - 6. The procedure for constructing a confidence...Ch. 9.2 - 7. (a) Find the t-value such that the area in the...Ch. 9.2 - Prob. 8AYUCh. 9.2 - Prob. 9AYUCh. 9.2 - Prob. 10AYUCh. 9.2 - In Problems 9–12, a simple random sample of size n...Ch. 9.2 - Prob. 12AYUCh. 9.2 - In Problems 13–16, determine the point estimate of...Ch. 9.2 - Prob. 14AYUCh. 9.2 - In Problems 13–16, determine the point estimate of...Ch. 9.2 - Prob. 16AYUCh. 9.2 - Prob. 17AYUCh. 9.2 - Prob. 18AYUCh. 9.2 - Prob. 19AYUCh. 9.2 - 20. A simple random sample of size n is drawn. The...Ch. 9.2 - Prob. 21AYUCh. 9.2 - Prob. 22AYUCh. 9.2 - Prob. 23AYUCh. 9.2 - Prob. 24AYUCh. 9.2 - Prob. 25AYUCh. 9.2 - Prob. 26AYUCh. 9.2 - 27. Blood Alcohol Concentration A random sample of...Ch. 9.2 - 28. Hungry or Thirsty? How much time do Americans...Ch. 9.2 - 29. Tootsie Pops A Tootsie Pop is a sucker with a...Ch. 9.2 - 30. How Much Do You Read? A recent Gallup poll...Ch. 9.2 - Prob. 31AYUCh. 9.2 - Prob. 32AYUCh. 9.2 - Prob. 33AYUCh. 9.2 - Prob. 34AYUCh. 9.2 - Prob. 35AYUCh. 9.2 - Prob. 36AYUCh. 9.2 - Prob. 37AYUCh. 9.2 - Prob. 38AYUCh. 9.2 - Prob. 39AYUCh. 9.2 - 40. Sexual Relations A question on the General...Ch. 9.2 - 41. Sample Size Dr. Paul Oswiecmiski wants to...Ch. 9.2 - 42. Sample Size Dr. Paul Oswiecmiski wants to...Ch. 9.2 - Prob. 43AYUCh. 9.2 - 44. Television A researcher wanted to determine...Ch. 9.2 - Prob. 45AYUCh. 9.2 - Prob. 46AYUCh. 9.2 - Prob. 47AYUCh. 9.2 - Prob. 48AYUCh. 9.2 - Prob. 49AYUCh. 9.2 - Prob. 50AYUCh. 9.2 - Prob. 51AYUCh. 9.2 - Prob. 52AYUCh. 9.2 - Prob. 53AYUCh. 9.2 - Prob. 54AYUCh. 9.2 - Prob. 55AYUCh. 9.2 - Prob. 56AYUCh. 9.3 - 1. True or False: The chi-square distribution is...Ch. 9.3 - 2. True or False: The shape of the chi-square...Ch. 9.3 - 3. True or False: To construct a confidence...Ch. 9.3 - 4. True or False: A confidence interval for a...Ch. 9.3 - In Problems 5–8, find the critical values and ...Ch. 9.3 - In Problems 5–8, find the critical values and ...Ch. 9.3 - In Problems 5–8, find the critical values and ...Ch. 9.3 - In Problems 5–8, find the critical values and ...Ch. 9.3 - 9. A simple random sample of size n is drawn from...Ch. 9.3 - Prob. 10AYUCh. 9.3 - 11. pH of Rain The following data represent the pH...Ch. 9.3 - 12. Travel Taxes Travelers pay taxes for flying,...Ch. 9.3 - 13. Crash Test Results The following data...Ch. 9.3 - 14. Crawling Babies The data in the next column...Ch. 9.3 - 15. Peanuts A jar of peanuts is supposed to have...Ch. 9.3 - Prob. 16AYUCh. 9.3 - 17. Critical Values Sir R. A. Fisher, a famous...Ch. 9.4 - 1. For what type of variable does it make sense to...Ch. 9.4 - Prob. 2AYUCh. 9.4 - Prob. 3AYUCh. 9.4 - Prob. 4AYUCh. 9.4 - In Problems 5–12, construct the appropriate...Ch. 9.4 - Prob. 6AYUCh. 9.4 - Prob. 7AYUCh. 9.4 - Prob. 8AYUCh. 9.4 - Prob. 9AYUCh. 9.4 - Prob. 10AYUCh. 9.4 - Prob. 11AYUCh. 9.4 - Prob. 12AYUCh. 9.4 - Prob. 13AYUCh. 9.4 - Prob. 14AYUCh. 9.4 - Prob. 15AYUCh. 9.4 - Prob. 16AYUCh. 9.4 - Prob. 17AYUCh. 9.4 - Prob. 18AYUCh. 9.4 - Prob. 19AYUCh. 9.4 - Prob. 20AYUCh. 9.4 - Prob. 21AYUCh. 9.4 - Prob. 22AYUCh. 9.4 - Prob. 23AYUCh. 9.4 - Prob. 24AYUCh. 9.4 - Prob. 25AYUCh. 9.4 - Prob. 26AYUCh. 9.4 - Prob. 27AYUCh. 9.5 - 1. What is bootstrapping? Be sure to include a...Ch. 9.5 - 2. If we wish to obtain a 95% confidence interval...Ch. 9.5 - Prob. 3AYUCh. 9.5 - Prob. 4AYUCh. 9.5 - Prob. 5AYUCh. 9.5 - Prob. 6AYUCh. 9.5 - Prob. 7AYUCh. 9.5 - Prob. 8AYUCh. 9.5 - Prob. 9AYUCh. 9.5 - 10. Crawling Babies The following data represent...Ch. 9.5 - Prob. 11AYUCh. 9.5 - Prob. 12AYUCh. 9.5 - 13. Bootstrap Proportions To estimate proportions...Ch. 9.5 - 14. Bootstrap Proportions To estimate proportions...Ch. 9.5 - Prob. 15AYUCh. 9.5 - Prob. 16AYUCh. 9.5 - Prob. 17AYUCh. 9.5 - Prob. 18AYUCh. 9.5 - Prob. 19AYUCh. 9.5 - Prob. 20AYUCh. 9.5 - 21. Simulation: What about the Median? Certain...Ch. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 1CTCh. 9 - 2. Find the critical values and required to...Ch. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - 8. Wimbledon Match Lengths A tennis enthusiast...Ch. 9 - Prob. 9CTCh. 9 - Prob. CS
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