Answered: Suppose a professional golfing…

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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Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.005 inch. Determine whether these randomly selected golf balls conform to this requirement at the α=0.01 level of significance. Assume that the population is normally distributed. LOADING... Click the icon to view the chi-square distribution table.		1.683	1.682	1.679
1.677	1.679	1.678
1.683	1.679	1.684
1.675	1.684	1.682

What are the correct hypotheses for this test?

H0:

▼

sigmaσ

muμ

▼

less than<

equals=

greater than>

not equals≠

nothing

versus

H1:

▼

muμ

sigmaσ

▼

equals=

greater than>

less than<

not equals≠

nothing

(Type integers or decimals. Do not round.)

Find the sample standard deviation.

s=nothing

(Round to five decimal places as needed.)

Use s to calculate the value of the test statistic.

χ20=nothing

(Round to two decimal places as needed.)

Identify the critical value(s) for this test.

The critical value is

nothing.

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

What is the correct conclusion at the

α=0.01

level of significance?

Since the test statistic is

▼

less

greater

than the critical value,

▼

reject

do not reject

the null hypothesis. There

▼

is not

sufficient evidence to conclude that these golf balls conform to the requirement at the

0.01

level of significance.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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