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 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg At a= 0.025, 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? O A. Use a t-sampling distribution because n< 30. O B. Use a normal sampling distribution because n> 30. OC. Use a normal sampling distribution because the population is normal, and o is known. O D. Use a t-sampling distribution because the population is normal, and a is unknown. OE. Use a t-sampling distribution because the population is normal, and o is known. OF. Use a normal sampling distribution because the population is normal, and o is unknown.

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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 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. At α = 0.025, test the company’s claim. Assume the population is normally distributed.  
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 t-sampling distribution because n < 30.
- **B.** Use a normal sampling distribution because n > 30.
- **C.** Use a normal sampling distribution because the population is normal, and σ is known.
- **D.** Use a t-sampling distribution because the population is normal, and σ is unknown.
- **E.** Use a t-sampling distribution because the population is normal, and σ is known.
- **F.** Use a normal sampling distribution because the population is normal, and σ is unknown.
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 8 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. At α = 0.025, test the company’s claim. Assume the population is normally distributed. 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 t-sampling distribution because n < 30. - **B.** Use a normal sampling distribution because n > 30. - **C.** Use a normal sampling distribution because the population is normal, and σ is known. - **D.** Use a t-sampling distribution because the population is normal, and σ is unknown. - **E.** Use a t-sampling distribution because the population is normal, and σ is known. - **F.** Use a normal sampling distribution because the population is normal, and σ is unknown.
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