Question

An automobile manufacturer claims that their jeep has a 55.355.3 miles/gallon (MPG) rating. An independent testing...

An automobile manufacturer claims that their jeep has a 55.355.3 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep. After testing 1515 jeeps they found a mean MPG of 55.555.5 with a variance of 6.256.25. Is there sufficient evidence at the 0.050.05 level that the jeeps outperform the manufacturer's MPG rating? Assume the population distribution is approximately normal.

Step 1 of 5: State the null and alternative hypotheses.

Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5: Specify if the test is one-tailed or two-tailed.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An automobile manufacturer claims that their jeep has a 43.5 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that their jeep has a 43.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep. After testing 17 jeeps they found a mean MPG of 43.7 with a variance of 6.25. Is there sufficient evidence at the 0.1 level that the jeeps outperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5:...
An automobile manufacturer has given its jeep a 52.8 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer has given its jeep a 52.8 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 230 jeeps, they found a mean MPG of 52.7. Assume the population standard deviation is known to be 1.0. Is there sufficient evidence at the 0.1 level to support the testing firm's claim? State the null and alternative...
An automobile manufacturer has given its jeep a 31.4 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer has given its jeep a 31.4 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 31.6. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.02 level to support the testing firm's claim? Step 1 of 6: State...
An automobile manufacturer has given its jeep a 50.5 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer has given its jeep a 50.5 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 has an incorrect manufacturer's MPG rating. After testing 280 jeeps, they found a mean MPG of 50.7. Assume the population standard deviation is known to be 1.3. A level of significance of 0.05 will be used. Make the decision to reject or fail to reject the...
An automobile manufacturer has given its jeep a 25.3 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer has given its jeep a 25.3 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 190 jeeps, they found a mean MPG of 25.1. Assume the population standard deviation is known to be 2.4. A level of significance of 0.02 will be used. Make the decision to reject or fail to reject the...
An automobile manufacturer claims that its jeep has a 59.8 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that its jeep has a 59.8 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 160 jeeps, they found a mean MPG of 59.7. Assume the standard deviation is known to be 1.3. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to...
An automobile manufacturer claims that its jeep has a 37.0 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that its jeep has a 37.0 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 140 jeeps, they found a mean MPG of 37.2. Assume the variance is known to be 1.69. A level of significance of 0.05 will be used. Find the value of the test statistic. Round your answer to 2...
An automobile manufacturer claims that their car has a 33.7 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that their car has a 33.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 12 cars they found a mean MPG of 34.0 with a variance of 2.56. Is there sufficient evidence at the 0.05 level that the cars have an incorrect manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 4 of 5 : Determine the decision rule for rejecting the null...
An automobile manufacturer has given its jeep a 31.2 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer has given its jeep a 31.2 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 230 jeeps, they found a mean MPG of 31.4. Assume the population standard deviation is known to be 2.5. A level of significance of 0.05 will be used. State the null and alternative hypotheses.
An automobile manufacturer has given its car a 31.131.1 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer has given its car a 31.131.1 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 110110 cars, they found a mean MPG of 31.331.3. Assume the population variance is known to be 3.613.61. Is there sufficient evidence at the 0.10.1 level to support the testing firm's claim? Step 1 of 6: State the...