Question

(1 point) Healty people have body temperatures that are normally distributed with a mean of 98.20' F and a standard deviation of 0.62F. (a) If a healthy person is randomly selected, what is the probability that he or she has a temperature above 99.4 F? answer (b) A hospital wants to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 2 % of healthy people to exceed it? answer: Note: You can earn partial credit on this problem. (1 point) The number of pizzas consumed per month by university students is normally distributed with a mean of 12 and a standard deviation of 4. A. What proportion of students consume more than 15 pizzas per month? Probability B. What is the probability that in a random sample of size 9, the mean amount of pizza consumed is more than 13 pizzas per person? Probability A company sells tubes of sunscreen lotion. The company claims that the amount of lotion in a tube varies according to a normal distribution with mean M = 296 ml and standard deviation = 6 ml. A consumer advocacy group suspects that the company is shortchanging customers by selling tubes with a mean of less than 296 ml of lotion. The advocacy group takes a random sample of 5 tubes of sunscreen and finds that the average amount of sunscreen per tube in the sample is.x = 289 ml (a) Find the standard deviation of the average, (b) Find the probability that the average amount of sunscreen from 5 tubes will be less than or equal to 289 ml. . Note that if your answer is close to 0, WeWork may require more than 4 digits after the decimal place to count your answer as correct. (c) What is your conclusion? A. It is plausible that the company is not shortchanging customers. B. There is strong evidence to claim that the company is shortchanging customers.