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: data 67.7 42.1 94.4 67.2 16.9 49.7 30.2 65.2

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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:

data
67.7
42.1
94.4
67.2
16.9
49.7
30.2
65.2



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 =

Expert Solution
Step 1

Claim:

μ<68.5 

Null Hypothesis:

H0:μ68.5

Alternative Hypothesis:

H0:μ>68.5

Critical value:

degrees of freedom=n-1=8-1=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)

 

 

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