Question

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

      Ho:μ=61.4Ho:μ=61.4
      Ha:μ<61.4Ha:μ<61.4

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

data

23.8

47.3

43

77.4

57.2

23.8

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) αα
• greater than αα

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 less than 61.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 61.4.
• The sample data support the claim that the population mean is less than 61.4.
• There is not sufficient sample evidence to support the claim that the population mean is less than 61.4.

Answer 1

The statistical software output for this problem is :

Test statistics = -1.908

P-value = 0.057

The p-value is greater than α .

Fail to reject the null hypothesis .

There is not sufficient sample evidence to support the claim that the population mean is less than 61.4.