How much should a healthy kitten weigh? Suppose that a healthy 10-week-old (domestic) kitten should weigh an average of

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How Much Should A Healthy Kitten Weigh Suppose That A Healthy 10 Week Old Domestic Kitten Should Weigh An Average Of 1 (107.17 KiB) Viewed 56 times

How much should a healthy kitten weigh? Suppose that a healthy 10-week-old (domestic) kitten should weigh an average of u = 25.3 ounces with a (95% of data) range from 15.6 to 35.0 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. in 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 u - 20 to u + 20 is often used for "commonly occurring" data values. Note that the interval from u - 20 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, range high value - low value standard deviation 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.) 4.85 OZ (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.) 0.0227 X (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.) 0.0968 X (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.) 0.8805 X (e) A kitten whose weight is in the bottom 8% of the probability distribution of weights is called undernourished. What is the cutoff point for the weight of an undernourished kitten? (Round your answer to two decimal places.) 19.58 Xoz