Fill in the blanks to correctly complete the sentence below. Suppose a simple random sample of size n is drawn froma large population with mean u and standard deviation a. The sampling distribution of x has mean deviation o= %3D and standard Suppose a simple random sample of size n is drawn from a large population with mean u and standard deviation a. The sampling distribution of x has mean u = and standard deviation a=

Fill in the blanks to correctly complete the sentence below. Suppose a simple random sample of size n is drawn froma large population with mean u and standard deviation a. The sampling distribution of x has mean deviation o= %3D and standard Suppose a simple random sample of size n is drawn from a large population with mean u and standard deviation a. The sampling distribution of x has mean u = and standard deviation 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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Evaluation 1. Samples of size n were randomly selected from the population with means and variances given below. In each case, find the mean, variance, and the variance of the sampling distribution of the means. a. n = 49; μ = 25; o² = 6.25 b. n = 55; μ = 10; o² = 9 2. A random sample of n = 100 measurements is obtained from a population with μ = 55 and o = 20. Describe the sampling distribution of means by computing the (a) mean of the sampling distribution of means μ, (b) variance of the sampling distribution of means o, and the (c) standard deviation of the sampling distribution of means o.
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.
A simple random sample is taken from a population and yields the following data for a variable of the population. 10 38 17 33 31 12 12 17 31 27 Find a point estimate for the population mean (that is, the mean of the variable). A point estimate for the population mean is. (Round to one decimal place as needed.)
The finite population correction is most useful for which of the following? a. It adjusts the estimated mean when the sample size is a large fraction of the population size. b. It adjusts the standard error of the mean when the sample size is a small fraction of the population size. c. It adjusts the estimated mean when the sample size is a small fraction of the population size. d. It adjusts the standard error of the mean when the sample size is a large fraction of the population size.
In looking at the results of a standardized exam, 72% of those taking the test choose the correct answer on the first question. Answer the following for 400 test takers who are to be randomly chosen. After taking the sample and administering the test, 320 of the test takers answer the first question correctly. The sample proportion is ____________________. Find the mean and variance for the distribution of sample proportions from samples of size n = 400. Mean: __________________ Variance: ___________________ The probability is ____________________ for taking another random sample of size n = 400 test takers and more than 75% of them getting the correct answer on this question.
Which of the statements below is true about the standard error of the sampling distribution of the sample mean. It measures the variabilty of the mean from sample to sample. It is less than the standard deviation of the population. All of the above. It decreases as the sample size increases.
D, E, F only
The distribution of average hours worked per week for random samples of 1000 workers in the U.S. has a mean of 40 and a standard error of 0.04 The distribution in this scenario is a: sampling distribution sample distribution population distribution
B. Samples of size n were randomly selected from the population. The mean and the standard deviations of the population are given below. In each case, find the mean and the variance of the sampling distribution of the means. μ = 3; o = 1.3 1. n = 2; 2. n = 5; μ = 2.75; o = 3.5 3. n = 8; μ = 32; o = 7.9 n = 6; μ = 4.3; o = 1.9 4. 5. n = 2; μ = 1.5; o = 2
and if the scores A set of 10 scores has SS= 90. If the scores are a sample, the sample variance is are a population, the population variance is O 2 - 10: ? = 10
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.
Suppose a population with a mean of 100 and a variance of 900 was given. The central limit theorem was applied with a sample size ?? ≥ 25. A random sample of size ?? = 30 wasobtained. Find the: i. mean and variance of sampling distribution for sample means. ii. probability that 96 ≤ ??̅≤ 110. iii. probability that ??̅≤ 107.