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 m 5 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-weekold 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?

AppendixLO1