Part 1 - One Sample T-Test Emil, an endurance athlete, is convinced he trains an average of 20 hours per week. His coach thinks Emil's estimate is wrong. A random sample of 15 weeks shows an average of 18 hours with a standard deviation of 4 hours. Test the accuracy of Emil's perception with a = 0.04. a) State the null and alternative hypothesis in symbols and in words. b) Perform a hypothesis test. Find/state your descriptive statistics (including standard error) and find the t-critical, the t-calculated. c) What is your conclusion? State this with words.

Part 2 - Two Sample T-Test Athletes from a cross fit gym are getting ready for a competition. The owner wonders if members who come to early morning classes work out more often than those who come midmorning. He samples 8 members from each group. The 6am group has a sample mean of 4 sessions per week with a sample standard deviation of 0.5. The 9am group has a sample mean of 5.5 sessions per week with a sample standard deviation of 1. Evaluate the similarity between these samples with a = 0.01. a) State the null and alternative hypothesis in symbols and in words. b) Perform a hypothesis test. Find/state your descriptive statistics (including standard error) and find the t-critical, the t-calculated. c) What is your conclusion? State this with words.