(Please provide a breakdown and describe/show step by step details on how you arrived the answers so I can learn - thanks)

QUESTION: Which of the ANSWERS below (1-5) i.e. procedures, is the right answer for each problem (A - E)?

Problems:

A. Run times (msec) of a new phone app developed by GoggleMe and established competitor FollowYeow. Inc. are logged in a data file. At (alpha) = 0.05, are the run times of GoggleMe and FollowYeow. Inc. comparable?

B. Given weights of 31, 29, 26, 33, 40, 28, 30, and 25, at (alpha) = 0.05, test that the population mean is 35.

C. Testing that a gasoline additive increases mileage, we compute mpg with additive minus mpg without additive for each car. If the mean of the differences is positive enough, action will be required to implement the additive.

D. An effective vaccine would reduce the proportion of exposed persons contracting Malaria. A pharmaceutical company wants to test the effectiveness of a new vaccine in preventing a certain disease. It is expected that 40% of unvaccinated exposed people will contract the disease. A group of 48 exposed persons volunteered to be vaccinated. Later, two of the volunteers contracted the disease. Test (null hypotheses) H: (pi) 0.40 (vaccine ineffective) at (alpha) = 0.01

E. Test size AAA battery mean life is at least 25 hours.

Procedures (which procedure corresponds to which problem above)

1. 1-tailed test of proportion with negative critical value

2. 2-tailed test of mean with both negative and positive critical values

3. 1-tailed test of mean with negative critical values

4. 1-tailed test of paired-data with positive critical values

5. 2-tailed test of means of 2 independent populations