Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

You are in the market for a new car. You want to check whether there is a significant difference between the fuel economy of mid-size domestic cars and mid-size import cars. You sample 24 domestic car makes and find an average fuel economy of 35.696 MPG with a standard deviation of 4.931 MPG. For imports, you sample 16 cars and find an average MPG of 34.345 MPG with a standard deviation of 7.118. If a 90% confidence interval is calculated to estimate the difference between the average fuel economy of domestic and import mid-size cars, what is the margin of error

Sagot :

Solution :

It is given that the mean and the standard deviation for a sample of 24 domestic cars is 35.696 MPG and 4.931 MPG respectively and the mean and the standard deviation for a sample of 16 cars is 34.345 MPG and 7.118 respectively.

The 90% confidence level for the men difference between the two samples is  (-2.906, 2.844).

We know that the confidence interval is calculated to determine the mean difference among the two samples with the specified level of confidence.

Therefore, we can say that with 90% confidence, we have the 90% chances that the true mean differences will be within the range of -2.906 MPG to 2.844 MPG.

Thus, it is required 90% confidence interval interpretation.

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.