Question
An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is
An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses,H0:?= 76.4 versusHa:?> 76.4, where?= the true mean height of all trucks. The conditions for inference are met. The test statistic ist= 1.35 and theP-value is between 0.05 and 0.10. What conclusion should be made at the significance level,?
RejectH0. There is convincing evidence that the true mean height of all trucks is greater than 76.4 inches.
RejectH0. There is not convincing evidence that the true mean height of all trucks is greater than 76.4 inches.
Fail to rejectH0. There is convincing evidence that the true mean height of all trucks is greater than 76.4 inches.
Fail to rejectH0. There is not convincing evidence that the true mean height of all trucks is greater than 76.4 inches.
. n engineer would like to design a parking garage in the most costeffective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses, H0: p = 76.4 versus Ha: p > 76.4, where ,u = the true mean height of all trucks. The conditions for inference are met. The test statistic is t: 1.35 and the P-value is between 0.05 and 0.10. What conclusion should be made at the significance level, O Reject H0. There is convincing evidence that the true mean height of all trucks is greater than 76.4 inches. 0 Reject H0. There is not convincing evidence that the true mean height of all trucks is greater than 76.4 inches. O Fail to reject Hg. There is convincing evidence that the true mean height of all trucks is greater than 76.4 inches. O Fail to reject Hg. There is not convincing evidence that the true mean height of all trucks is greater than 76.4 inchesStep by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started