John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million (USA Today, March 29, 2012). The sample below shows the head basketball coach's salary for a sample of 10 schools playing NCAA Division 1 basketball. Salary data are in millions of dollars.UniversityCoach’s SalaryUniversityCoach’s SalaryIndiana2.2Syracuse1.5Xavier .5Murray State .2Texas2.4Florida State1.5Connecticut2.7South Dakota State .1West Virginia2.0Vermont .2a. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball (to 2 decimals).b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).

Answered: John Calipari, head basketball coach…

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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John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million (USA Today, March 29, 2012). The sample below shows the head basketball coach's salary for a sample of 10 schools playing NCAA Division 1 basketball. Salary data are in millions of dollars.

University	Coach’s Salary	University	Coach’s Salary
Indiana	2.2	Syracuse	1.5
Xavier	.5	Murray State	.2
Texas	2.4	Florida State	1.5
Connecticut	2.7	South Dakota State	.1
West Virginia	2.0	Vermont	.2

a. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball (to 2 decimals).

b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).

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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