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 23 mpg and a standard deviation of 3 mpg. At α=0.10​, test the​ company's claim. Assume the population is normally distributed.   What is the critical​ value?   The critical value is enter your response here. ​(Round to three decimal places as​ needed.)   Determine the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) within your choice. ​(Round to three decimal places as​ needed.)   c) Find the standardized test statistic t.

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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

23

mpg and a standard deviation of

3

mpg. At

α=0.10​,

test the​ company's claim. Assume the population is normally distributed.

 

What is the critical​ value?
 
The critical value is
enter your response here.
​(Round to three decimal places as​ needed.)
 
Determine the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) within your choice.
​(Round to three decimal places as​ needed.)
 
c) Find the standardized test statistic t.
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