Answered: Researchers at a university designed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Researchers at a university designed and tested a speed-training program for junior varsity and varsity high school football players. Each in a sample of 38 high school athletes was timed in a 40-yard sprint prior to the start of the training program and timed again after completing the program. The decreases in times (measured in seconds) are listed in the accompanying table. [Note: A negative decrease implies that the athlete's time after completion of the program was higher than his time prior to training.] The goal of the research is to demonstrate that the training program is effective in improving 40-yard sprint times

Find a 90% confidence interval for the true mean decrease in sprint times for the population of all football players who participate in the speed-training program. (Round to three decimal places as needed.)

Decreases in 40-yard Sprint Times
0.03
0.07
0.14 0.14 0.22 0.24
0.23 0.21
0.11 0.32 0.38 0.26 0.14 0.02 -0.05 0.01
-0.01 0.26 0.14
0.25 -0.02
0.15 0.11 0.09
0.34
0.47
0.49 0.35
-0.04 0.01
0.09 -0.03
0.94 0.33
0.21
0.14
0.06
0.08

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 + ...

Expert Solution