PART A

The brochure from Poughdunck University states that its mean class size is lessthan 32 students. You randomly selected classes at Poughdunclu: U. and recorded their sizes below. At o=.[l1 can you support the claim? ssume that class sizes are normally distributed. 3D 23 29 33 32 4D 28 36 2'3 23 3U 35 33 23 2? 3D 23 34 a. [3 pts} Specify null and alternate hypotheses (Ho and Ha} and marl: one as the claim b. [4 pts} Determine the sample size. sample mean and sample standard deviation. C. [? pts} Perform the test. including appropriate sketches and calculations d. (2 pts) Circle one: i. Reject Ho, support claim ii. Fail to reject Ho, fail to support claim e. (4 pts) Circle the best interpretation of the test results: i. Poughdunck U's mean class size is less than 32 students. ii. Poughdunck U's mean class size is greater than 32 students. iii. There is a 99% probability that Poughdunck U's mean class size is less than 32 students. However, due to sampling error, there is also a 1% probability that it is greater than or equal to 32 students. iv. There is a 99% probability that Poughdunck U's mean class size is greater than or equal to 32 students. However, due to sampling error, there is also a 1% probability that it is less than 32 students