Answered: Assume a researcher wants to compare…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Assume a researcher wants to compare the mean Aspartate Transferase (AST) levels in two populations, individuals who drink alcohol and individuals who do not drink alcohol. The mean AST levels for the individuals who do not drink alcohol is 25 with a standard deviation of 10, and 25 individuals were in the sample. The mean AST levels for individuals who drink alcohol is 29 with a standard deviation of 13, and 53 individuals were in the sample. Construct and interpret a 90% confidence interval demonstrating the difference in means for those individuals who drink alcohol when compared to those who do not drink alcohol.

Assume a researcher wants to compare the mean Aspartate Amino Transferase (AST) levels in two populations, individuals who drink alcohol and individuals who do not drink alcohol. The mean AST levels for the individuals
who don't drink alcohol is 25 with a standard deviation of 10, and 42 individuals were in the sample. The mean AST levels for individuals who drink alcohol is 29 with a standard deviation of 13, and 53 individuals were in the
sample, Construct and interpret a 90% confidence interval demonstrating the difference in means for those individuals who drink alcohol when compared to those who do not drink alcohol.

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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