Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

An automobile manufacturer claims that its jeep has a 31.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 230 jeeps, they found a mean MPG of 31.4. Assume the standard deviation is known to be 2.5. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothes

Sagot :

Answer:

we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

Step-by-step explanation:

We are given;

Population mean; μ = 31.2

Sample mean; x¯ = 31.4

Sample size; n = 230

standard deviation; σ = 2.5

Significance level = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 31.2

Alternative hypothesis; Ha: μ ≠ 31.2

Formula for the test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (31.4 - 31.2)/(2.5/√230)

z = 0.2/0.4564

z = 0.44

From online p-value from z-score calculator attached and using;

z = 0.44; two tailed hypothesis; significance value = 0.05

We have;

P-value = 0.659937

This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

View image AFOKE88
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.