Suppose a simple random sample of size n = 38 is obtained from a population with u = 65 and o = 18.(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distributi(b) Assuming the normal model can be used, determine P(x < 69.4).(c) Assuming the normal model can be used, determine P(x2 67.3).Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).(a) What must be true regarding the distribution of the population?O A. Since the sample size is large enough, the population distribution does notneed to be normal,O B. The population must be normally distributed.OC. The population must be normally distributed and the sample size must be large.O D. There are no requirements on the shape of the distribution of the population.

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Answered: Suppose a simple random sample of size…

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 sample with size n=4 is drawn from the set 5,6,8,10,12 and 20.Determine the number of possible samples with size 4, Identify the distribution of the sample means, and compute the mean, standard error and variance of the sample means.
Suppose a simple random sample of size n= 39 is obtained from a population with µ = 62 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x<65.2). (c) Assuming the normal model can be used, determine P(x2 63.2). Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. O B. The population must be normally distributed and the sample size must be large. O C. Since the sample size is large enough, the population distribution does not need to be normal. O D. There are no requirements on the shape of the distribution of the population. Assuming the normal…
I got that it is approximately normal with mean 67 and sd is 15/square root of 48 but do not know how to get part b or part c. thank you
Suppose a simple random sample of size n = 47 is obtained from a population with µ = 68 and o= 16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution X. (b) Assuming the normal model can be used, determine P(x<71.5). (c) Assuming the normal model can be used, determine P(x ≥ 70.2). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Assuming the normal model can be used, describe the sampling distribution X. O A. Approximately normal, with μ = 68 and o= Approximately normal, with = 68 and o- = μx ox 16 √47 (b) P(x < 71.5)= (c) P(x ≥ 70.2) = 47 √16 O B. O c. Approximately normal, with μ = 68 and o- = 16 x (Round to four decimal places as needed.) (Round to four decimal places as needed.)
X is a normally distributed random variable with mean 25 and standard deviation of 5. For n= 16, what is the standard error of the sampling distribution?
Assume that a simple random sample has been selected from a normally distributed population. Identify the null hypothesis, alternative hypothesis, test statistic, P-value (or range of p-values), conclusion about the null hypothesis, and final conclusion that addresses the original claim. 1) Test the claim that the mean age of the graduate school population in one city is less than 33 years. Sample data are summarized as n 67, x = 42.4 years, and s = 31.5 years. Use a significance level of a = 0.10.
Solve by showing steps properly
The central limit theorem states that the sampling distribution of sample means has a mean equal to the population -- mean mean mean divided by the population standard deviation mean divided by the population standard deviation standard deviation standard deviation standard deviation divided by the square root of N.
solve B plz
when a population is uniformly distributed (flat), is the sampling distribution of xbar for random samples of 2 observations roughly normal, strongly skewed, or triangular?
Draw all possible samples of size 2 without replacement from the population 2, 3, 4, 5, 6 and 7. Find the mean from the sampling distribution of sample means and verify with population mean.

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