Suppose you know the true mean GPA of Howard Community College and are interested in seeing how students in your stats class compare to the college average. Compared to the sampling distribution of the means for small samples (say n = 4), how will the sampling distribution of the means be different for larger samples (say n = 25)? Select the most appropriate answer (1 point). a.) The sampling distribution for n=25 will have a larger mean b.) The sampling distribution for n=25 will have a smaller mean c.) The sampling distribution for n=25 will have a larger standard deviation d.) The sampling distribution for n=25 will have a smaller standard deviation e.) The sampling distributions for n=4 and n=25 will be the same f.) There is not enough information given to compare the sampling distributions

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

Suppose you know the true mean GPA of Howard Community College and are interested in seeing
how students in your stats class compare to the college average. Compared to the sampling
distribution of the means for small samples (say n = 4), how will the sampling distribution of the
means be different for larger samples (say n = 25)? Select the most appropriate answer (1 point).
a.) The sampling distribution for n=25 will have a larger mean
b.) The sampling distribution for n=25 will have a smaller mean
c.) The sampling distribution for n=25 will have a larger standard deviation
d.) The sampling distribution for n=25 will have a smaller standard deviation
e.) The sampling distributions for n=4 and n=25 will be the same
f.) There is not enough information given to compare the sampling distributions

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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