Activity: SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANSA. Directions: Consider the given, then analyze and solve what is asked in each number.Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18.1. Determine the mean, standard deviation, and variance of the population. µ :0² :Table 3.12. Complete the details in Table 3.1Sample MeanNo. Sampleobtain a random sample of size n = 2 without replacement andmake sure that all possible sample sets are listedb. compute the mean of each sampleCenetruet the eampling dietrikbutien of the sample means.4. Compute the mean and standard deviation of the sampling distributionof the sample means. Use table 3.2 for nos. 3 to 4a.'able 3.2Sample Mean Xp(X)(X) * p(X)(X – µx)2 * p(X)Ox² =OX=5. Compare the mean, variance, and standard deviation of the sampling distribution of the samplemeans with the mean, variance, and standard deviation of the population. What generalization canbe made?

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Answered: Given: A finite population of numbers…

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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Question: A company conducted a survey to gather data on the ages of its employees. The collected data are as follows: 25, 28, 30, 35, 38, 40, 42, 45, 48, 50. Calculate the range, variance, and standard deviation of the ages.
Exhibit 11-3 The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounce. We are interested in testing to determine whether the variance of the population is significantly more than .003. Refer to Exhibit 11-3. The p-value for this test is a) .05 b) greater than .10 c) less than .10 d) 1.96
B. Samples of size n were randomly selected from populations with means and variance given below. In each case, find the mean and variance of the sampling distribution of the means. 1. n= 4 2. n= 4 3. n= 4 4. n= 5 5. n = 6 議 µ = 5.5 µ = 7.5 p = 8.5 p = 15 H = 20 2 = 25 2 = 9 0? = 16 {? = 30 0? = 36
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 number of ornaments placed on trees is recorded. The results are as follows: 26 26 22 29 24 30 26 34 21 24 20 31 20 35 32 33 26 26 29 29 Find the Mean, Median, Mode, Midrange, Variance and Standard Deviation of the data.Round to 2 decimal places if necessary. Mean: Median: Mode: Midrange: Variance: Standard Deviation:
Three randomly selected children are surveyed. The ages of the children are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 2,2 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 a. Find the value of the population variance o². (Round to three decimal places as needed.)
Consider the following population data; 0, -4, 2, -8, 10 a) Calculate the population variance. b) Calculate the population standard deviation
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
Given Samples A and B below Sample A: 2.0 Sample B: 4.3 2.8 4.5 O a. Calculate the mean and standard deviation for each sample. Sample A: XA = Sample B: XB = ; SB = Round to two decimal places if necessary b. Calculate the coefficient of variation for each sample. Sample A: CVA = ; SA = _% 4.2 4.2 4.3 4.0 Sample B: CVB Round to two decimal places if necessary c. Which sample is more variable? o Sample A Sample B Neither sample is more variable than the other 4.4 4.3 3.7 4.9 _% 3.6 2.6 2.8 2.2 2.3 4.1
Calculate SS, variance, and standard deviation for the following sample of n = 5 scores: 2, 9, 5, 5, 9 Note: The definitional formula for SS works well with these scores. SS: Variance: Standard deviation: 044

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