You wish to test the claim \mu<68.5\mu<68.5 at a significance le

Pretoto4o

Pretoto4o

Answered question

2021-11-28

You wish to test the claim μ<68.5μ<68.5 at a significance level of 0.100.10.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
data67.742.194.467.216.949.730.265.2
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 =

Answer & Explanation

oces3y

oces3y

Beginner2021-11-29Added 21 answers

Step 1
Claim:
μ<68.5
Null Hypothesis:
H0:μ68.5
Alternative Hypothesis:
H0:μ>68.5
Critical value:
degrees of freedom =n1=81=7
level of significance =0.10
Tail of the test is left tail test.
t critical value =1.415, from the excel function, =T.INV(0.1,7)
Step 2
Test statistic:
For the given information,
x=54.175, from the excel function, =AVERAGE(Z17:Z24)
s=24.5597, from the excel function, =STDEV.S(Z17:Z24)
n=8
t=xμsn
=54.17568.524.55978
=1.650

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