What is a critical value at the level of significance


Discuss the below:

Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month.

Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 15 recent mileages of Citrus cars was taken. The mean of these 15 mileages was 1517 miles per month, and the standard deviation was 203 miles per month.

Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage,m , of Citrus cars is less than 1550 miles per month?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places

The null hypothesis Ho __

The alternate hypothesis H1 __

They type of statistic (Z, t, chi square, F)__

The value of the test statistic:

The critical value at the 0.05 level of significance:

At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1550 miles per month? (yes or no) __ .

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Basic Statistics: What is a critical value at the level of significance
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