Question

He manufacturer claims that your new car gets 29 mpg on the highway. You suspect that the mpg is a different number for your car. The 38 trips on the highway that you took averaged 23.8 mpg and the standard deviation for these 38 trips was 10 mpg. What can be concluded at the = 0.01 level of significance? Use the classical approach.

Test statistic =-3.21 Critical value =?

Answer 1

In this problem, we are conducting a hypothesis test to evaluate the manufacturer's claim about the average miles per gallon (mpg) of nonhybrid sedans compared to hybrid sedans.

Step-by-step explanation:

In this problem, we are conducting a hypothesis test to evaluate the manufacturer's claim about the average miles per gallon (mpg) of nonhybrid sedans compared to hybrid sedans.

The null hypothesis, denoted as H0, states that the mean mpg of nonhybrid sedans is greater than or equal to the mean mpg of hybrid sedans. The alternative hypothesis, denoted as H1, states that the mean mpg of nonhybrid sedans is less than the mean mpg of hybrid sedans.

To perform the hypothesis test, we will use a t-test procedure since the population standard deviations are unknown. We will calculate the test statistic, degrees of freedom, and p-value to draw a conclusion.

Based on the information given, we will set the significance level at 5% (α = 0.05).