) At 95% confidence develop an interval estimate forthe difference between the average Miles per Gallon for the twomodels.

b) Is there conclusive evidence to indicate that onemodel gets a higher MPG than the other? Why or why not? Explain

* Course Hero X G 1 X * Homework Help x In Order To Esti x C In Order To Est x C In Order To Est x In Order To Est x In Order To Est x G 95 confidence X + C @ File |file:///Users/reshmashaikh/Documents/QUIZ_1_Statstic.pdf GO 1/ 1 T Stat 201 Darius Dziuda Quiz 1 Spring 2019 Name: The quiz is due by the class time on Thursday, February 28, 2019. Bring it to the class or email to me (no pictures will be accepted), dziudadad@ccsu.edu, before 10:00 am of the due day. No results will be accepted after the class. Very important: Please document your reasoning to get full credit (i.e., correct answer without clear path leading to the answer will NOT be accepted). In order to estimate the difference between the average Miles per Gallon of two different models of cars, samples are taken and the following information is collected. Model A Model B Sample Size 16 18 Sample Mean 29 26 Sample Variance 16 Note: Assume that both populations are normally distributed. a) (16 points) Find a 95% confidence interval for the difference between the average Miles per Gallon for the two models. b) (4 points) From your answer in Part a), is there conclusive evidence that one model gets a significantly higher average MPG than the other? Why or why not? Explain