You wish to test the following claim (Ha) at a significance level of α=0

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You wish to test the following claim (Ha) at a significance level of α=0.02.      Ho:μ=81.6

Ha:μ<81.6

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

data

55.2

53.5

34.5

74.1

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic = ________________________________

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value = _________________________

The p-value is... (select one)

• less than (or equal to) α
• greater than α

This test statistic leads to a decision to... (select one)

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that... (select one)

1)There is sufficient evidence to warrant rejection of the claim that the population mean is less than 81.6.

2)There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.6.

3)The sample data support the claim that the population mean is less than 81.6.

4)There is not sufficient sample evidence to support the claim that the population mean is less than 81.6.