The sampling distribution ofthe sample mean is close tothe normal distributionO a. only if the parentpopulation is notskewed and does nothave outliersO b. if n is large, regardlessthe distribution of theparent populationO c. regardless thedistribution of theparent population orwhat the value of nO d. if the standarddeviation of the parentpopulation is knowne. only if both n is largeand the parentpopulation has anormal distribution

Central limit theorem: If the size of the samples taken from the population are sufficiently…

Answered: The sampling distribution of the sample…

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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One property of the F-distribution used for the Analysis of Variance is thatA. It is symmetric.B. The exact shape of the F-distribution depends on two different degrees of freedom.C. Values of the F-distribution can be negative.D. The total area under the curve is equal to 2.
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
Which of the following is true regarding the sampling distribution of the mean for a large sample size? O It has a normal distribution with the same mean and standard deviation as the population. O It has the same shape, mean, and standard deviation as the population. O It has the same shape and mean as the population, but has a smaller standard deviation. O It has a normal distribution with the same mean as the population but with a smaller standard deviation.
24. How does the t distribution differ from the Z distribution? a. It has a smaller standard deviation and hence thinner tails than the Z distribution. b. It has a larger standard deviation and hence thicker tails than the Z distribution. c. The t and Z distributions are no different.
Suppose x has a normal distribution with mean ? = 53 and standard deviation ? = 7.Describe the distribution of x values for sample size n = 4. (Round ?x to two decimal places.) ?x = ?x = Describe the distribution of x values for sample size n = 16. (Round ?x to two decimal places.) ?x = ?x = Describe the distribution of x values for sample size n = 100. (Round ?x to two decimal places.) ?x = ?x =
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $229 with a standard deviation of $63. Random samples of size 24 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6 Construct a 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. (Note: x1=3.1125, x2=3.4385, s1=0.4357 s2=0.5485
A simple random sample of size n is drawn. The sample mean, &, is found to be 17.7, and the sample standard deviation, s, is found to be 4.3. Click the icon to view the table of areas under the t-distribution.
Which of the following are true? There is more than one correct answer.
Consider a hypothesis test of difference of means for two independent populations x1 and x2. Suppose that both sample sizes are greater than 30 and that you know ?1 but not ?2. Is it standard practice to use the normal distribution or a Student's t distribution? Use the Student's t distribution because both sample sizes are greater than 30. Use the normal distribution because we do not know ?2. Use the normal distribution because both sample sizes are greater than 30. Use the Student's t distribution because we do not know ?2.
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 111 pounds and a standard deviation of 37.8 pounds. Random samples of size 19 are drawn from this population and the mean of each sample is determined. 1₂ = 0 ...
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