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...




































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.



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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

pp

muμ







less than

equals=

greater than>

not equals≠



nothing

versus
H1​:






muμ

sigmaσ

pp







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

is not




sufficient evidence to conclude that these golf balls conform to the requirement at the
0.01

level of significance.







Jun 06, 2022
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