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  3. you wish to test the following claim ( h a ) at a

You wish to test the following claim ( H a ) at a significance level of...

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Question

Basic Math

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

Sample #1
41.975.56221.3
43.821.36082.3
55.473.237.742.4
52.84927.145.1
6248.243.359
66.153.251.519.1
31.839.946.441.9
38.368.83653.7
25.971.344.768.1
75.539.447.747.7
40.972.236.666.1
54.180.13132.6
51.137.74936

sample 2

21.436.721.461.1
83.661.165.935.1
35.143.543.554.5
41.460.661.772.2
59.229.443.936.7
31.866.642.723.3
63.957.466.631
51.857.449.245.5
54.549.652.263.9
23.354.95752.2
50.351.444.772.2
47.744.361.732.5
36.77779.656.5
26.259.261.743.1
57.424.975.171
62.766.643.563.3
57.4


What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =

What is the p-value for this sample? For this calculation, use thedegrees 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

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