According to https://www.csgnetwork.com/humanh2owater.html, a 175-pound individual who lives ina 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 averagedaily (liquid) water consumption of 83.15 ounces. Assume that the population standard deviation is 15ounces.
a. Using the critical-value approach and the 1% significance level, can you conclude that the meandaily (liquid) water consumption by this population differs from the recommended amount of90.25 ounces?
b. Using the critical-value approach and the 2.5% significance level, can you conclude that themean daily (liquid) water consumption by this population is less than the recommended amountof 90.25 ounces?
c. What is the Type I error in parts a and b? What is the probability of making this error in eachof parts a and b?
d. Calculate the p-value for the test of part a. What is your conclusion if .01?
e. Calculate the p-value for the test of part b. What is your conclusion if .025?