5. The distribution of heights of a certain brecd of terrier has a mean of 72 centimeters anda standard deviation of 10 centimeters, whereas the distribution of heights of a certainbreed of poodle has a mcan of 28 centimeters with a standard deviation of 5 centimeters.Assume the distributions of both typcs of breeds are normally distributed.(a) Suppose we are taking a random sample of 64 terricrs. What is the sampling distri-bution of mean heights of the breed of terriers?(b) Find the probability that the sample mean for a random sample of heights of 64terriers excceds 75 centimcters.(c) Find the probability that the sample mean for a random sample of heights of 64terriers exceeds the sample mean for a random sample of heights of 100 poodles byat lenst 44.2 centimeters.

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Answered: 5. The distribution of heights of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 1000 iron rods are tested for their length and it is found thatthe mean and standard deviation are 14.4 and 2.5 meters respectively. If the lengthis normally distributed then find (i) how many rods between 12 and 16 meters. (ii)what are chances that any rod selected at random will be 15 meters or above?
The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). ..... (b) According to a certain survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the standard deviation for "time spent watching television on a weekday" is 1.93 hours. If a random sample of 60 adults is obtained, describe the sampling distribution of x, the mean amount of time spent watching television on a weekday. x is approximately normal with H = 2.35 and o- = 0.249162. (Round to six decimal places as needed.) (c) Determine the probability that a random sample of 60 adults results in a mean time watching television on a weekday of between 2 and 3 hours. The probability is 0.9154 . (Round to four decimal places as needed.) (d) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 55…
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