A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 1.1 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is normally distributed?Group of answer choices

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Asked Dec 16, 2019
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A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 1.1 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is normally distributed?
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Expert Answer

Step 1

Null hypothesis:

µ ≥ 24.

Alternative hypothesis:

µ<24.

Since the population standard deviation is unknown, the appropriate test is one sample t-test.

Here, the sample mean, x-bar is 23.

S...

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х — и t = Vn 23 – 24 1.1 =-2.405

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