An automobile manufacturer has given its jeep a 29.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this jeep since it is believed that the jeep performs under the manufacturer's MPG rating. After testing 110 jeeps, they found a mean MPG of 29.1. Assume the population variance is known to be 4.41. Is there sufficient evidence at the 0.05 level to support the testing firm's claim? Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places.
Added by Amy J.
Close
Step 1
Null hypothesis: The true mean MPG of the jeep is equal to the manufacturer's rating of 29.5 MPG. Alternative hypothesis: The true mean MPG of the jeep is less than 29.5 MPG. Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 93 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An automobile manufacturer has given its car a 31.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car performs over the manufacturer's MPG rating. After testing 110 cars, they found a mean MPG of 31.3. Assume the population variance is known to be 3.61. Is there sufficient evidence at the 0.1 level to support the testing firm's claim? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 6: Specify if the test is one-tailed or two-tailed. Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 6: Identify the level of significance for the hypothesis test. Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.
Prabhakar K.
An automobile manufacturer has given its jeep a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 290 jeeps, they found a mean MPG of 46.8. Assume the population variance is known to be 3.24. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
David N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD