Assume an infinite population and solve the givenGiven with random samples of size n selected from populations with means and variances, find the mean and standard deviation of the sampling distribution of the sample mean in each case:a. n= 9. µ=15, σ2=4 b. n = 100, µ =34, σ2 =49The average weight of cats in a particular barangay is 3.9 kg with a standard deviation of 0. 82 kg. If 30 cats are randomly selected, determine the mean, standard deviation and variance of the corresponding sampling distributions of the sample means.The weekly allowance of all the Senior High School students in a particular city has an average of Php 500 with a standard deviation of Php 25. A random sample of 60 students was asked of their weekly allowance. Determine the standard error of the sampling distribution of the mean weekly allowance of Senior High School students in this high city.A normal population has a mean of 120 and variance of 16. How large must ure Size of the random sample be if the standard error must be equal to 2.31?

Mean of Sampling distribution : The mean of sampling distribution (μx) is an unbiased estimator of…

Answered: Assume an infinite population and solve…

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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Assume an infinite population and solve the given

Given with random samples of size n selected from populations with means and variances, find the mean and standard deviation of the sampling distribution of the sample mean in each case:

a. n= 9. µ=15, σ²=4

b. n = 100, µ =34, σ² =49

The average weight of cats in a particular barangay is 3.9 kg with a standard deviation of 0. 82 kg. If 30 cats are randomly selected, determine the mean, standard deviation and variance of the corresponding sampling distributions of the sample means.
The weekly allowance of all the Senior High School students in a particular city has an average of Php 500 with a standard deviation of Php 25. A random sample of 60 students was asked of their weekly allowance. Determine the standard error of the sampling distribution of the mean weekly allowance of Senior High School students in this high city.
A normal population has a mean of 120 and variance of 16. How large must ure Size of the random sample be if the standard error must be equal to 2.31?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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