(6 to 9) The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players:n=25Before PracticeAfter PracticeDifference (Before-After)Mean254.73225.629.13Standard deviation115.5132.621.00 For soccer players:n=15Before PracticeAfter PracticeDifference (Before-After)Mean177.1173.83.3Standard deviation60.764.46.88 Assume that all the data above are normal, use the information above to answer problem(7) Construct a 95% Confidence Interval for the difference in mean CPK values for football players BEFORE and AFTER exercises.

Given: For football players, n=25 Before practice After practice Difference Mean 254.73 225.6…

Answered: Construct a 95% Confidence Interval for…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 7CR

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(6 to 9) The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows :

For football players:

n=25	Before Practice	After Practice	Difference (Before-After)
Mean	254.73	225.6	29.13
Standard deviation	115.5	132.6	21.00

For soccer players:

n=15	Before Practice	After Practice	Difference (Before-After)
Mean	177.1	173.8	3.3
Standard deviation	60.7	64.4	6.88

Assume that all the data above are normal, use the information above to answer problem

(7) Construct a 95% Confidence Interval for the difference in mean CPK values for football players BEFORE and AFTER exercises.

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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