Data show that men between the ages of 20 and 29 in a general population have a
ID: 3367454 • Letter: D
Question
Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3? inches, with a standard deviation of
2.62.6
inches. A baseball analyst wonders whether the standard deviation of heights of? major-league baseball players is less than
2.62.6
inches. The heights? (in inches) of
2020
randomly selected players are shown in the table.
LOADING...
Click the icon to view the data table.
Test the notion at the
alpha equals 0.10?=0.10
level of significance.
What are the correct hypotheses for this? test?
The null hypothesis is
H0?:
?
sigma?
mu?
pp
?
not equals?
equals=
greater than>
less than<
2.62.6.The alternative hypothesis is
H1?:
?
pp
mu?
sigma?
?
greater than>
not equals?
less than<
equals=
2.62.6.
Calculate the value of the test statistic.
chi Subscript Superscript 2?2 equals=nothing
?(Round to three decimal places as? needed.)
Use technology to determine the? P-value for the test statistic.
The? P-value is
nothing.
?(Round to three decimal places as? needed.)
What is the correct conclusion at the
alpha equals 0.10?=0.10
level of? significance?Since the? P-value is
?
less
greater
than the level of? significance,
?
do not reject
reject
the null hypothesis. There
?
is
is not
sufficient evidence to conclude that the standard deviation of heights of? major-league baseball players is less for? major-league baseball players at the
0.100.10
level of significance.
72 70 77 74 74 77 73 75 71 75 75 73 71 72 70 74 76 72 73 74 E31Explanation / Answer
The null hypothesis is : H0?: ? =2.6
The alternative hypothesis is H1: ? <2.6
here test statistic ?2 =(n-1)s2/?2 =(20-1)*2.0882/2.62 =12.254 ( please try 12.277 if this comes wrong)
p value =0.126 ( please try 0.127 if this comes wrong)
Since the? P-value is greater than the level of? significance do not reject the null hypothesis. There is not sufficient evidence to conclude that the standard deviation of heights of? major-league baseball players is less for? major-league baseball players at the 0.10 level of significance.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.