You wish to test the following claim ( H a Ha ) at a significance level of = 0.0
ID: 3151813 • Letter: Y
Question
You wish to test the following claim (
H
a
Ha
) at a significance level of
=
0.005
=
0.005
.
H
o
:
=
65.7
Ho:=
65.7
H
a
:
>
65.7
Ha:>
65.7
You believe the population is normally distributed and you know the population standard deviation is
=
18.1
=
18.1
. You obtain a sample mean of
M
=
69.7
M=
69.7
for a sample of size
n
=
41
n=
41
.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
in the critical region
not in the critical region
This test statistic leads to a decision to...
reject the null
accept the null
fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.7.
There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.7.
The sample data support the claim that the population mean is greater than 65.7.
There is not sufficient sample evidence to support the claim that the population mean is greater than 65.7.
Explanation / Answer
Ho:= 65.7 v/s Ha:> 65.7
Here,
= 0.005
= 18.1
M= 69.7
n= 41
z= (69.7 - 65.7) * Sqrt(41) / 18.1
z = 1.415
The critical value of z at given alpha 0.005( one-tailed ) is 2.576.
The value of test statistic is 1.415.
The test staistic is in the critical region.
The test statistic leads to a decision that fail to reject the null hypothesis.
As such, the final conclusion is that there is not sufficient sample evidence to support the claim that the population mean is greater than 65.7.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.