A sample of size 28 will be drawn from a population with mean 8 and standard deviation 6. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be greater than 6. th (c) If appropriate find the 10" percentile of x. () Is it appropriate to use the normal distribution to find probabilities for x ? OYes O No (b) The probability that x will be greater than 6 is (© The 10 percentile ofX is

A sample of size 28 will be drawn from a population with mean 8 and standard deviation 6. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be greater than 6. th (c) If appropriate find the 10" percentile of x. () Is it appropriate to use the normal distribution to find probabilities for x ? OYes O No (b) The probability that x will be greater than 6 is (© The 10 percentile ofX is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A random sample of size 22 is taken from a normally distributed population. 'The mean of the sample is x= 14.4 with a standard deviation of s 3.8. Do you think the population mean is less than 16? Explain your answer.
(Sec. 5.4) Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies. Suppose the mean value of X is 120 min. and the standard deviation of X is 110 min. (a) Is it plausible that X is normally distributed? Explain why or why not. (b) For a random sample of 55 such pairs, what is the approximate probability that the sample mean courtship time is between 100 min. and 125 min.? (c) For a random sample of 55 such pairs, what is the approximate probability that the total courtship time is greater than 150 hours?
I'm having trouble figuring out how to solve this problem.
a, b, d,
The distribution of sample means is not always a normal distribution. Under what circumstances will the distribution of sample means be normal? Check all that apply. When it is based on large samples (n 2 30) When it is based on a population that does not have a normal distribution When it is based on small samples (n < 30) When it is based on large samples (n 2 5) When it is based on samples selected from a population that has a normal distribution
Suppose an x distribution has mean μ = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 2.5) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger. (c) For which x distribution is P(1.5 < x < 2.5) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be…
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
You take a simple random sample of size 25 from a very large population in which the true proportioni p=0.1. Which statement below best describes what you know about the sampling distribution of p? (0.1)(0.9) (a) H,-0.1; o,- the distribution is skewed right. 25 (0.1)(0.9). 25 (b) H,=0.1; o,=. ; the distribution is skewed left. (0.1)(0.9). (c) ,=0.1; o,= the distribution is approximately Normal. %3D 25 (0.1)(0.9) (d) , the distribution is not approximately Normal. 25 =0.1; we cannot use the formula o, (0.1)(0.9) ; the distribution is approximately Normal. 25 (e) =0.1; we cannot use the formula o,
I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…
just need f. parts iii and iv
The probability distribution of a random variable X is given below.
3. We are throwing a die twice. Find the distribution of the random variable |X – Y|= (difference of scored points). Find its mean value and variation. [Ans. E(|X – Y|) = 1,94 ]