What is the critical value? The critical value is . (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A car company says that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 24 mpg and a standard deviation of 2
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.
Which sampling distribution should be used and why?
A. Use a normal sampling distribution because the population is normal, and o is known.
B. Use a normal sampling distribution because n> 30.
C. Use a t-sampling distribution because the population is normal, and o is known.
D. Use a normal sampling distribution because the population is normal, and o is unknown.
E. Use a t-sampling distribution because the population is normal, and o is unknown.
O F. Use a t-sampling distribution because n< 30.
State the appropriate hypotheses to test.
A. Ηo , μ2 25
Ha: µ< 25
В. Но: S25
Ha: µ> 25
Ho: H#25
Ha: µ= 25
D. H : μ 25
Hai µ # 25
What is the value of the standardized test statistic?
The standardized test statistic is - 1.22. (Round to two decimal places as needed.)
What is the critical value?
The critical value is |. (Round to three decimal places as needed.)
Transcribed Image Text:A car company says that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 24 mpg and a standard deviation of 2 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. Which sampling distribution should be used and why? A. Use a normal sampling distribution because the population is normal, and o is known. B. Use a normal sampling distribution because n> 30. C. Use a t-sampling distribution because the population is normal, and o is known. D. Use a normal sampling distribution because the population is normal, and o is unknown. E. Use a t-sampling distribution because the population is normal, and o is unknown. O F. Use a t-sampling distribution because n< 30. State the appropriate hypotheses to test. A. Ηo , μ2 25 Ha: µ< 25 В. Но: S25 Ha: µ> 25 Ho: H#25 Ha: µ= 25 D. H : μ 25 Hai µ # 25 What is the value of the standardized test statistic? The standardized test statistic is - 1.22. (Round to two decimal places as needed.) What is the critical value? The critical value is |. (Round to three decimal places as needed.)
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