Question: According to https://www.csgnetwork.com/humanh2owater.html, a 175-pound individual who lives in a warm climate and averages 20 minutes of exercise per day should consume 90.25 ounces of (liquid) water per day. Suppose that a random sample of 45 individuals who fall in this category have an average daily (liquid) water consumption of 83.15 ounces. Assume that the population standard deviation is 15 ounces.
a. Using the critical-value approach and the 1% significance level, can you conclude that the mean daily (liquid) water consumption by this population differs from the recommended amount of 90.25 ounces?
b. Using the critical-value approach and the 2.5% significance level, can you conclude that the mean daily (liquid) water consumption by this population is less than the recommended amount of 90.25 ounces?
c. What is the Type I error in parts a and b? What is the probability of making this error in each of parts a and b?
d. Calculate the p-value for the test of part a. What is your conclusion if α = .01?
e. Calculate the p-value for the test of part b. What is your conclusion if α = .025?