For a population of m=50 and standard deviation of 6, describe the shape, the mean, and the standard deviation for the distribution of sample means for each of the following: a) samples of n=4.b) samples of n=36 Cort Answer4. For a population with u50 and o6, describe the shape, the mean, and the standard deviation forthe distribution of sample means for each of the following:a. Samples of n = 4.b. Samples of n = 36.Find the z-score for the sample mean for each of the following samples obtained from a populationwith u= 50 and o 12.a. M 56 for a sample of n = 4b.. M 51 for a sample of n = 365.A sample of n = 16 scores is selected from a normal population with u= 60 and o= 20.6.a. What is the probability that the sample mean will be greater than 50?b. What is the probability that the sample mean will be less than 56?c. What is the probability that the sample mean will be within 5 points of thepopulation mean? That is, what is p(55< X < 65)?

Answered: C ort Answer 4. For a population with u…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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For a population of m=50 and standard deviation of 6, describe the shape, the mean, and the standard deviation for the distribution of sample means for each of the following:

a) samples of n=4.

b) samples of n=36

C
ort Answer
4. For a population with u
50 and o
6, describe the shape, the mean, and the standard deviation for
the distribution of sample means for each of the following:
a. Samples of n = 4.
b. Samples of n = 36.
Find the z-score for the sample mean for each of the following samples obtained from a population
with u= 50 and o 12.
a. M 56 for a sample of n = 4
b.. M 51 for a sample of n = 36
5.
A sample of n = 16 scores is selected from a normal population with u= 60 and o= 20.
6.
a. What is the probability that the sample mean will be greater than 50?
b. What is the probability that the sample mean will be less than 56?
c. What is the probability that the sample mean will be within 5 points of the
population mean? That is, what is p(55< X < 65)?

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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