How much should a healthy kitten weigh Suppose that a healthy 10 week old domestic kitten should weigh an average of 22 9 ounces with a 95 of data range from 12 0 to 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 USE SALT a The empirical rule Section 7 1 indicates that for a symmetrical and bell shaped distribution approximately 95 of the data lies within two standard deviations of the mean Therefore a 95 range of data values extending from 20 to 20 is often used for commonly occurring data values Note that the interval from 2o to u 20 is 40 in length This leads to a rule of thumb for estimating the standard deviation from a 95 range of data values Estimating the standard deviation For a symmetric bell shaped distribution standard deviation OZ range high value low value 4 4 where it is estimated that about 95 of the commonly occurring data values fall into this range Estimate the standard deviation of the x distribution Round your answer to two decimal places b What is the probability that a healthy 10 week old kitten will weigh less than 14 ounces Round your answer to four decimal places c What is the probability that a healthy 10 week old kitten will weigh more than 33 ounces Round your answer to four decimal places d What is the probability that a healthy 10 week old kitten will weigh between 14 and 33 ounces Round your answer to four decimal places e A kitten whose weight is in the bottom 16 of the probability distribution of weights is called undernourished What is the cutoff point for the weight of an undernourished kitten Round