Question

A car manufacturer claims that their new hybrid model can achieve an average of 50 miles per gallon (mpg) on the highway. A consumer advocacy group tests 30 vehicles of this model and finds that their average highway mileage is 48 mpg, with a standard deviation of 2.5 mpg. Conduct a hypothesis test at a 1% significance level to determine if the manufacturer's claim is valid.

Name: a car manufacturer claims that their new hybrid model can achieve an average of 50 miles per gallon mpg on the highway a consumer advocacy group tests 30 vehicles of this model and finds that their av
Uploaded: 2023-08-17T21:59:09-08:00
Duration: 2 min 21 s
Channel: Ivan Kochetkov
Description: a car manufacturer claims that their new hybrid model can achieve an average of 50 miles per gallon mpg on the highway a consumer advocacy group tests 30 vehicles of this model and finds that their av

          A car manufacturer claims that their new hybrid model can achieve an average of 50 miles per gallon (mpg) on the highway. A consumer advocacy group tests 30 vehicles of this model and finds that their average highway mileage is 48 mpg, with a standard deviation of 2.5 mpg. Conduct a hypothesis test at a 1% significance level to determine if the manufacturer's claim is valid.

Added by Aaron M.

Instant Answer

Solved by Expert Ivan Kochetkov

08/17/2023

Step 1

Null hypothesis (H0): μ = 50 mpg. The manufacturer's claim is valid. Alternative hypothesis (H1): μ ≠ 50 mpg. The manufacturer's claim is not valid. Show more…

Show all steps

Thanks for your feedback!

A car manufacturer claims that their new hybrid model can achieve an average of 50 miles per gallon (mpg) on the highway. A consumer advocacy group tests 30 vehicles of this model and finds that their average highway mileage is 48 mpg, with a standard deviation of 2.5 mpg. Conduct a hypothesis test at a 1% significance level to determine if the manufacturer's claim is valid.