15. A sample of size 20 will be drawn from a population with mean6 and standard deviation 3.a. Is it appropriate to use the normal distribution to findprobabilities for r?b. If appropriate find the probability that i will be greaterthan 4.c. If appropriate find the 30th percentile of ī.

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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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Let X represent the full length of a certain species of newt. Assume that X has a normal probability distribution with mean 148.1 inches and standard deviation 5.6 inches. You intend to measure a random sample of n = 22 newts. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes with the mean and two standard deviations in each direction, correct to two decimal places. ||
6.2 The Standard Normal Distribution Table: Z-score and Probability A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 164.7 cm and a standard deviation of 2.5 cm. Find the probability that the length of a randomly selected steel rod is greater than 167.7 cm. Probability -
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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ = 248.8 ft and o = 5.1 ft. You intend to measure a random sample of n = a. What is the mean of the distribution of sample means? Hã ft = b. What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? 0x = 241 trees. P(x > 249) ft c. What is the probability that the average height of a random sample of 241 trees is larger than 249? Round answer to 4 decimal places. =
The t distribution should be used whenever: Select one: A. the population is not normally distributed. B. the sample standard deviation is used to estimate the population standard deviation. C. None of the answers are correct. D. the sample size is less than 30.

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Of size 20 will be drawn from a population with mean 6 and standard deviation 3. a. Is it appropriate to use the normal distribution to find probabilities for x? b. If appropriate find the probability that will be greater than 4. c. If appropriate find the 30th percentile of x.