Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 26

Estimating the Standard Deviation: Veterinary Science How much should a healthy kitten weigh A healthy 10-week-old (domestic) kitten should weigh an average of = 24.5 ounces with a (95% of data) range from 14 to 35 ounces. (See reference in Problem 33.) Let x be a random variable that represents the weight (in ounces) of a healthy 10-week-old kitten. Assume that x has a distribution that is approximately normal.
(a) Estimate the standard deviation of the x distribution. Hint: See Problem 31.
(b) What is the probability that a healthy 10-week-old kitten will weigh less than 14 ounces
(c) What is the probability that a healthy 10-week-old kitten will weigh more than 33 ounces
(d) What is the probability that a healthy 10-week-old kitten will weigh between 14 and 33 ounces
(e) Inverse Normal Distribution A kitten whose weight is in the bottom 10% of the probability distribution of weights is called undernourished. What is the cutoff point for the weight of an undernourished kitten