# weight all 26 5 ounces with a 95 of data range from 16 to 37

Last updated: 1/31/2024

weight all 26 5 ounces with a 95 of data range from 16 to 37 ounces 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 USE SALT a The empirical rule indicates that for a symmetric and bell shaped distribution approximately 95 of the data lies within two standard deviations of the mean 20 Therefore a 95 range of data values extending from 20 to 4 20 is often used for commonly occurring data values Note that the interval from 20 to 20 is 40 in length This leads to a rule of thumb for estimating the standard deviation from a 95 range of data values 95 Estimating the standard deviation For a symmetric bell shaped distribution standard deviation H 20 where it is estimated that about 95 of the commonly occurring data values fall into this range X range high value low value Estimate the standard deviation of the x distribution in ounces Round your answer to two decimal places 5 25 oz b What is the probability that a healthy 10 week old kitten will weigh less than 16 ounces Round your answer to four decimal places x c What is the probability that a healthy 10 week old kitten will weigh more than 34 ounces Round your answer to four decimal places d What is the probability that a healthy 10 week old kitten will weigh between 16 and 34 ounces Round your answer to four decimal places e 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 in ounces Round your answer to the nearest whole number