1. A population consists of six values (6, 9, 12, 15, 18, and 21).a. Select a random sample of size 3. Explain the random sampling that you used.b. How many possible samples can be drawn?C. List all possible samples and compute the mean of each sample.d. Construct a frequency distribution of the sample means obtained in step 2 includingx; f; P(x); x P(x); x2 P(x); EP(x); Ex P(x) and Ex2 P(x).e. Determine the mean, variance and standard deviation of the sample mean.

Population 6 9 12 15 18 21 The process of selecting a sample from a population is called…

Answered: 1. A population consists of six values…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.
Calculate N and M for the following frequency distribution. X Frequency2 53 34 45 86 117 9 What are the median and mode for the frequency distribution in Q1? If a sample has a SX (sum of X) = 35 and N=7, what is the mean? Calculate N and M for the following frequency distribution. X Frequency2 93 45 89 312 218 4 What are the median and mode for the frequency distribution in Q4? If a sample has a SX (sum of X) = 56 and M=7, what is the sample size (N)? Calculate N and M for the following frequency distribution. X Frequency2 33 65 79 2What are the median and mode for the frequency distribution in Q7? If a sample has aN=16andM=4.5, what was theSX (sum of X)
Dut Trenta and his friends play a game where they will win the amount indicated in the boxes they will pick. In Box 1, 2, 3, 4, 5, and 6, the prizes are 500, 1000, 500, 800, 1500, and 2000 respectively. A random sample of 3 boxes were selected without replacement. Let X be the amount indicated inside a box. a. Find the sampling distribution of ?. b. Find the mean and standard deviation of ?.
The annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
A fair coin is tossed three times. Let X denote 0 or 1 according as a head or a Tail occurs onthe first toss, and let Y denote the number of heads which occur. Determine the following: a. the distribution of X and Y;b. E(X) and E(Y);c. Variance and SD of X; andd. Variance and SD of Y
A population of the values 2, 4, and 7. List down all the possible samples of size 2 which can be drawn from this population. Find the following: 1. List all of the possible sample of size of 2. 2. Compute the mean of each sample 3. Identify the probability of each sample 4. Illustrate the histogram
Identify the sampling techniques used in each scenario. f. in order to sample the production yield of milk for the farm's herd of cows, random samples are taken from each of the five different types of cows.
3. Help
There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot. (a) Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula (b) Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula. (c) let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).
5. To illustrate that s2 measures the spread, compute s2 for the two samples 109, 110, 111 and 105, 110, 115, and compare.
Answer letter a,b and c.

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