Answered: Miniature Golf Scores A large group of…

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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Question

Miniature Golf Scores A large group of friends went miniature golfing together at a par

course and decided to play on two teams. A random sample of scores from each of the two teams is shown. At

=α0.01

, is there a difference in mean scores between the two teams? Use the

-value method and a TI-83 Plus/TI-84 Plus calculator. Assume the variables are normally distributed and the variances are unequal.

Question table

Team 1	47	55	57	49	62	54	61	46
Team 2	53	49	47	46	42	50	43	44	48

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to Excel

Use

μ1

for the mean score of team

(a) State the hypotheses and identify the claim with the correct hypothesis.

(b) Find the

-value.

(c) Make the decision.

(d) Summarize the results.

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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$Hypothesis Tests and Confidence Intervals for Equality of Variances$

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