You wish to test the following claim (Ha) at a significance level of α = 0.005 Ho: μ1 = μ2 Ha: μ1 > μ2 You obtain the fo

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You wish to test the following claim (Ha) at a
significance level of α = 0.005
Ho: μ1 = μ2
Ha: μ1 > μ2
You obtain the following two samples of data.
Sample #1
66.3 65.2 76.3 67.1
69.6 71.2 81.8 77.5
71.6 88.8 67.5 82.1
67.9 82.1 76.8 77.2
72.3 86.2 66.7 79.2
74.4 79.4 65.7 84.3
79.2 73.7 70.3 82.1
77.8 75.4 71.6 76.3
77.3 75.1 71.2 69.6
82.1 76.3 77.3 77.3
Sample #2
68.9 78.3 82.5 67.8
72.6 78.1 74.1 68.5
75.2 74.2 74.4 76.8
65.7 74.1 78.1 75.3
65.7 75.7 79.5 69.9
76 71.3
67.5 70.3
69.9 68
77.1 78.3
72.3 72.5 68.7 70.8
76.9 73.6
79 70.6
64.6 81.3 71.1 82.5
65.7 80.4 73.4 66.1
76.3 76.9 76.2 82.1
76.3 80.2 76.5 73.8
80.2 70.8 76.2 76.8
72.3 79.9 76.8 64.6
72.9 75.9
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 =
Calculate the test-statistic, t with the
following information.
n1=30n1=30, ¯x1=2.43x¯1=2.43, s1=0.37s1=0.37
n2=60n2=60, ¯x2=2.65x¯2=2.65, s2=0.87s2=0.87

Rounded to 2 decimal places.