An automobile manufacturer claims that their jeep has a 48.6 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep. After testing 100 jeeps they found a mean MPG of 42.8.Assume the variance is known to be 5.76. Is there sufficient evidence at the 0.01 level that the jeeps has an incorrect manufacturer's MPG rating?
Step 1. State the hypotheses:
Step 2. Find the value of the test statistic. (Round your answer to 2 decimal places.)
Step 3. Specify if the test is one-tailed or two-tailed.
Step 4. Enter the decision rule
Step 5. Determine the conclusion.
A) Reject Null Hypothesis B) Fail to Reject Null Hypothesis