You wish to test the following claim (HaHa) at a significance level of =0.005=0.005. Ho:=51.3Ho:=51.3 Ha:<51.3Ha:<51.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

68.5	37.8	49.9	42.9	70.2
45.3	56.6	53.7	63.2	42.2
54.8	56.9	36	39.2	58.6
48.9	46.3	51.9	45.5	37.8
42.6	46.9	45.5	39.2	46.3
39.6	41.6	55.1	52.9	41.2
46.1	36.6	36	51.4	44.4
52.1	48.1	67.2	45.8	59.7
49.6	51.4	29.6	46.1	54
50.9	36.6	29.6	51.9	62
42.9	63.2	37.2	45.8	48.1
58.2	52.7	42.6	70.2	63.2

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)
• greater than

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 51.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.3.
• The sample data support the claim that the population mean is less than 51.3.
• There is not sufficient sample evidence to support the claim that the population mean is less than 51.3.