Question

You wish to test the following claim (Ha) at a significance level of α=0.001

      Ho:μ=60.4
      Ha:μ≠60.4

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

data
110.5
92
76.4
85.8

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...

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

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...

• The sample data support the claim that the population mean is not equal to 60.4.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 60.4.

Answer 1

You wish to test the following claim (Ha) at a significance level of α=0.001

Here the population standard deviation is unknown and also sample size < 30 so we will use one t-test to test above hypothesis.

The procedure for One sample t-test is as follows

This test statistic leads to a decision to accept the null

Conclusion :

There is not sufficient sample evidence to support the claim that the population mean is not equal to 60.4.