Answered: Which of the following samples will…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

qu(13)

Which of the following samples will get us a larger t(calcuated value) and increase the power of the

test?

(choose one)

(a)A sample of 25 participants with a sample mean of 568( compared to the population mean

of 525) and an estimated population standard devaition of 6.25.

(b) A sample of 25 particpants with a sample mean of 352(compared to the population mean of 323)

and an estimated standard deviation of 9.54.

and an estimated population staandard deviation of 4.58

(d) A sample of 50 participants with a sample mean of 145(compared to the population mean of

174) and an estimated population standard deviation of 11.62

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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