Question

# You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.       Ho:μ=73.9Ho:μ=73.9       H1:μ≠73.9H1:μ≠73.9...

You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.

Ho:μ=73.9Ho:μ=73.9
H1:μ≠73.9H1:μ≠73.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
86
74.3
81.7
80.5
90.3
75.7
79.7
85.7
69.9

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 not equal to 73.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 73.9.
• The sample data support the claim that the population mean is not equal to 73.9.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 73.9.

The statistical software output for this problem is :

critical value = ± 2.306

Test statistics = 3.050

The test statistic is in the critical region .

reject the null

There is sufficient evidence to warrant rejection of the claim that the population mean is

not equal to 73.9.

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