An automobile manufacturer has given its van a 54.6 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs over the manufacturer's MPG rating. After testing 180 vans, they found a mean MPG of 54.8. Assume the population variance is known to be 4.41. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?
Find the value of the test statistic. Round your answer to two decimal places.
Specify if the test is one-tailed or two-tailed.
Find the P-value of the test statistic. Round your answer to four decimal places.
Identify the level of significance for the hypothesis test.
Make the decision to reject or fail to reject the null hypothesis.
An automobile manufacturer has given its van a 54.6 miles/gallon (MPG) rating. An independent testing firm...
An automobile manufacturer claims that its van has a 36.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 220 vans, they found a mean MPG of 36.0. Assume the variance is known to be 4.41. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis...
An automobile manufacturer has given its van a 50.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs over the manufacturer's MPG rating. After testing 290 vans, they found a mean MPG of 50.6. Assume the population standard deviation is known to be 2.1. Is there sufficient evidence at the 0.05 level to support the testing firm's claim? Step 4 of 6: Find...
An automobile manufacturer has given its van a 46.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 46.7. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer...
An automobile manufacturer claims that its van has a 38.438.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 240240 vans, they found a mean MPG of 38.138.1. Assume the standard deviation is known to be 2.02.0. A level of significance of 0.050.05 will be used. Find the value of the test statistic. Round your answer to...
An automobile manufacturer claims that its van has a 44.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 150 vans, they found a mean MPG of 44.4. Assume the standard deviation is known to be 1.5. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to...
An automobile manufacturer has given its jeep a 31.2miles/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 230230 jeeps, they found a mean MPG of 31.4. Assume the population standard deviation is known to be 2.5. Is there sufficient evidence at the 0.05 level to support the testing firm's claim? Step 2 of 6: Find the...
An automobile manufacturer claims that their van has a 40.040.0 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 2525 vans they found a mean MPG of 39.739.7 with a standard deviation of 2.02.0. Is there sufficient evidence at the 0.050.05 level that the vans have an incorrect manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic....
An automobile manufacturer daims that their van has a 49.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 12 vans they found a mean MPG of 49.4 with a standard deviation of 1.6. Is there sufficient evidence at the 0.05 level that the vans underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal Step 4 of 5: Determine the decision rule for rejecting the null hypothesis....
An automobile manufacturer claims that their van has a 38.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 13 vans they found a mean MPG of 38.2 with a standard deviation of 1.7. Is there sufficier evidence at the 0.025 level that the vans underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal Step 4 of 5: Determine the decision rule for rejecting the null hypothesis....
An automobile manufacturer claims that their van has a 38.7 miles/gallon (MPG) rating, an independent testing firm has been contracted to test the MPG for this van. After testing 13 vans they found a mean MPG of 38.2 with a standard deviation of 1.7. is there sufficient evidence at the 0.025 level that the vans underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal Step 4 of 5: Determine the decision rule for rejecting the null hypothesis....