1. Many people consume protein shakes to help build muscle mass and eliminate body fat. In recent study, the amount of protein in two competing drinks was compared. Independent random samples were obtained, and the protein content (in grams) in each drink was measured. The summary statistics and known population variances are given in the following table:

Protein Drink	Sample Size	Sample Mean	Population Variance
Brand X	24	25.4	5.6
Brand Y	22	28.2	6.1

1. Which level of Type 1 error would you choose, 0.05 or 0.01 and why?
2. Which kind of statistical test would you use, a one-tailed or two-tailed test?
3. What are your null and alternative hypothesis?
4. Conduct your statistical test for alpha = 0.05 and 0.01.
5. Suppose the population variances,s, were not available and you had to use the sample variance of 6 for Brand X and 6.8 for Brand Y. How would this impact your statistical test? If there is a change in your approach, retest the hypothesis withalpha = 0.5 using your new approach.