Question

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=61.2Ho:μ=61.2
      Ha:μ<61.2Ha:μ<61.2

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

46.2	78.8	64	64.4	59.3
78.8	89.7	85.8	41.3	81.8
34	73.7	79.8	78	72.4
78.8	69.2	66.7	81.8	67.2
56	89.7	71.9	58.5	46.8
40.5	48.3	52.5	53.8	45.1
43.3	24.4	24.4	84.3	81.8
70.2	45.7	53.8	29.4	76.4
78	49.3	52.1	78	57.2

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 61.2.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 61.2.
• The sample data support the claim that the population mean is less than 61.2.
• There is not sufficient sample evidence to support the claim that the population mean is less than 61.2.

Answer 1

test statistic = 0.408

P-value = 0.6575

The p-value is greater than α

fail to reject the null

There is not sufficient sample evidence to support the claim that the population mean is less than 61.2.