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A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 20 mpg and a standar deviation of 5 mpg. At a=0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table Click here to view page 1 of the normal table Click here to view page 2 of the normal table. OC. H p2 23 H, u<23 O D. H, us23 H, u> 23 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is the critical value? The critical value is (Round to three decimal places as needed.) What is the outcome and the conclusion of this test? Ho At the 5% significance level, there is v evidence to the car company's claim that the mean gas mileage for the luxury sedan is at least 23 miles per gallon

A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 20 mpg and a standar deviation of 5 mpg. At a=0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table Click here to view page 1 of the normal table Click here to view page 2 of the normal table. OC. H p2 23 H, u<23 O D. H, us23 H, u> 23 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is the critical value? The critical value is (Round to three decimal places as needed.) What is the outcome and the conclusion of this test? Ho At the 5% significance level, there is v evidence to the car company's claim that the mean gas mileage for the luxury sedan is at least 23 miles per gallon

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 20 mpg and a standard deviation of 5 mpg. At α = 0.05, test the company’s claim. Assume the population is normally distributed. Options for which sampling distribution should be used and why: - A. Use a t-sampling distribution because the population is normal, and σ is known. - B. Use a t-sampling distribution because the population is normal, and σ is unknown. - C. Use a normal sampling distribution because n > 30. - D. Use a normal sampling distribution because the population is normal, and σ is known. - E. Use a normal sampling distribution because the population is normal, and σ is unknown. - F. Use a t-sampling distribution because n < 30. State the appropriate hypotheses to test: - A. \(H_0: \mu = 23\) \(H_a: \mu \neq 23\) - B. \(H_0: \mu = 23\) \(H_a: \mu < 23\) - C. \(H_0: \mu \ge 23\) \(H_a: \mu < 23\) - D. \(H_0: \mu \le 23\) \(H_a: \mu > 23\) Click to select your answer(s).
Transcribed Image Text:A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 20 mpg and a standard deviation of 5 mpg. At α = 0.05, test the company’s claim. Assume the population is normally distributed. Options for which sampling distribution should be used and why: - A. Use a t-sampling distribution because the population is normal, and σ is known. - B. Use a t-sampling distribution because the population is normal, and σ is unknown. - C. Use a normal sampling distribution because n > 30. - D. Use a normal sampling distribution because the population is normal, and σ is known. - E. Use a normal sampling distribution because the population is normal, and σ is unknown. - F. Use a t-sampling distribution because n < 30. State the appropriate hypotheses to test: - A. \(H_0: \mu = 23\) \(H_a: \mu \neq 23\) - B. \(H_0: \mu = 23\) \(H_a: \mu < 23\) - C. \(H_0: \mu \ge 23\) \(H_a: \mu < 23\) - D. \(H_0: \mu \le 23\) \(H_a: \mu > 23\) Click to select your answer(s).
A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 20 mpg and a standard deviation of 5 mpg. At α = 0.05, test the company’s claim. Assume the population is normally distributed. - Click here to view the t-distribution table. - Click here to view page 1 of the normal table. - Click here to view page 2 of the normal table. **Test Options:** - **C.** \( H_0: \mu \geq 23 \) \( H_a: \mu < 23 \) - **D.** \( H_0: \mu \leq 23 \) \( H_a: \mu > 23 \) **Questions:** 1. What is the value of the standardized test statistic? - The standardized test statistic is \(\underline{\;\;\;}\) (Round to two decimal places as needed.) 2. What is the critical value? - The critical value is \(\underline{\;\;\;}\) (Round to three decimal places as needed.) 3. What is the outcome and the conclusion of this test? - \(\underline{\;\;\;}\) \(H_0\). At the 5% significance level, there is \(\underline{\;\;\;} \) evidence to \(\underline{\;\;\;}\) the car company's claim that the mean gas mileage for the luxury sedan is at least 23 miles per gallon. **Instructions:** - Click to select your answer(s).
Transcribed Image Text:A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 20 mpg and a standard deviation of 5 mpg. At α = 0.05, test the company’s claim. Assume the population is normally distributed. - Click here to view the t-distribution table. - Click here to view page 1 of the normal table. - Click here to view page 2 of the normal table. **Test Options:** - **C.** \( H_0: \mu \geq 23 \) \( H_a: \mu < 23 \) - **D.** \( H_0: \mu \leq 23 \) \( H_a: \mu > 23 \) **Questions:** 1. What is the value of the standardized test statistic? - The standardized test statistic is \(\underline{\;\;\;}\) (Round to two decimal places as needed.) 2. What is the critical value? - The critical value is \(\underline{\;\;\;}\) (Round to three decimal places as needed.) 3. What is the outcome and the conclusion of this test? - \(\underline{\;\;\;}\) \(H_0\). At the 5% significance level, there is \(\underline{\;\;\;} \) evidence to \(\underline{\;\;\;}\) the car company's claim that the mean gas mileage for the luxury sedan is at least 23 miles per gallon. **Instructions:** - Click to select your answer(s).
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