Question

a car company claims that its new suv gets better gas mileage than its competitors suv. a random sample of 42 of its suvs has a mean gas mileage of 13.9 miles per gallon (mpg). the population standard deviation is known to be 0.6 mpg. a random sample of 36 competitors suvs has a mean gas mileage of 13.5 mpg. the population standard deviation for the competitor is known to be 1.1 mpg. test the companys claim at the 0.01 level of significance. let the car companys suvs be population 1 and let the competitors suvs be population 2. step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below. $h_0:mu_1 = mu_2$ $h_a:mu_1$ ____ $mu_2$ answer: > < ≠

Explanation:

Step1: Understand the claim

The car company claims its SUV has better gas - mileage than competitors'. So, the mean gas - mileage of the car company's SUVs ($\mu_1$) should be greater than that of competitors' SUVs ($\mu_2$).

Step2: Determine the alternative hypothesis

The alternative hypothesis $H_a$ represents the claim. Since the claim is that the car company's SUVs have better gas - mileage, the alternative hypothesis is $H_a:\mu_1>\mu_2$.

Answer: