An automobile manufacturer has given its van a 31.5 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 performs under the manufacturer's MPG rating. After testing 210 vans, they found a mean MPG of 31.3. Assume the population variance is known to be 7.29. Is there sufficient evidence at the 0.1level to support the testing firm's claim? State the null and alternative hypotheses. Find the value of the test statistic. Round to two decimal places. Specify is the test is one-tailed or two-tailed. Find the P-value of the test statistic. 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 31.5 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 performs under the manufacturer's MPG rating. After testing 210 vans, they found a mean MPG of 31.3. Assume the population variance is known to be 7.29. Is there sufficient evidence at the 0.1level to support the testing firm's claim? State the null and alternative hypotheses. Find the value of the test statistic. Round to two decimal places. Specify is the test is one-tailed or two-tailed. Find the P-value of the test statistic. Identify the level of significance for the hypothesis test. Make the decision to reject or fail to reject the null hypothesis.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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An automobile manufacturer has given its van a 31.5 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 performs under the manufacturer's MPG rating. After testing 210 vans, they found a mean MPG of 31.3. Assume the population variance is known to be 7.29. Is there sufficient evidence at the 0.1level to support the testing firm's claim?
- State the null and alternative hypotheses.
- Find the value of the test statistic. Round to two decimal places.
- Specify is the test is one-tailed or two-tailed.
- Find the P-value of the test statistic.
- Identify the level of significance for the hypothesis test.
- Make the decision to reject or fail to reject the null hypothesis.
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