Question

You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : μ 1 = μ 2 H a : μ 1 ≠ μ 2 You obtain the following two samples of data.

Sample #1
41.9 75.5 62 21.3 43.8 21.3 60 82.3 55.4 73.2 37.7 42.4 52.8 49 27.1 45.1 62 48.2 43.3 59 66.1 53.2 51.5 19.1 31.8 39.9 46.4 41.9 38.3 68.8 36 53.7 25.9 71.3 44.7 68.1 75.5 39.4 47.7 47.7 40.9 72.2 36.6 66.1 54.1 80.1 31 32.6 51.1 37.7 49 36

sample 2

21.4 36.7 21.4 61.1 83.6 61.1 65.9 35.1 35.1 43.5 43.5 54.5 41.4 60.6 61.7 72.2 59.2 29.4 43.9 36.7 31.8 66.6 42.7 23.3 63.9 57.4 66.6 31 51.8 57.4 49.2 45.5 54.5 49.6 52.2 63.9 23.3 54.9 57 52.2 50.3 51.4 44.7 72.2 47.7 44.3 61.7 32.5 36.7 77 79.6 56.5 26.2 59.2 61.7 43.1 57.4 24.9 75.1 71 62.7 66.6 43.5 63.3 57.4

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? For this calculation, use the degrees of freedom reported from the technology you are using. (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

Answer 1