You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ1=μ2Ho:μ1=μ2      Ha:μ1≠μ2Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 62.9 53 60.6 51.3 49.7 80.9 68.5 69.7 68.9 66.2 77.1 71.1 62.9 42 71.6 80.9 74 51.3 65.5 68.5 70.6 41.1 44.2 70.2 56.5 60 72.2 62 42.8 63.9 62.9 37.3 78.2 38.8 66.9 65.2 42 49.7 62 49.3 67.7 63.9 55.9 50.5 60 50.1 60.6 48.9 47.6 50.9 66.9 54 71.1 72.7 48 86.1 49.7 49.7 53.3   49 82.9 70.7 69.5 59 54.1 60.5 82.9 82.3 86.1 72.8 59.5 51.4 63.2 99.9 53.5 79.2 51.4 52.8 70.7 76.3 93.3 63.2 63.2 84.7 53.5 64.1 66.6 67.9 42.1 77.2 48.1 64.9 72 44.9 53.5 86.8 63.2 64.5 38.3 55.9 75 71.6 66.2 46.1 70.7 86.1 71.6 65.4 51.4 52.8 78.7 107.3       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

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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ1=μ2Ho:μ1=μ2
      Ha:μ1≠μ2Ha:μ1≠μ2 You obtain the following two samples of data.

Sample #1 Sample #2
62.9 53 60.6 51.3
49.7 80.9 68.5 69.7
68.9 66.2 77.1 71.1
62.9 42 71.6 80.9
74 51.3 65.5 68.5
70.6 41.1 44.2 70.2
56.5 60 72.2 62
42.8 63.9 62.9 37.3
78.2 38.8 66.9 65.2
42 49.7 62 49.3
67.7 63.9 55.9 50.5
60 50.1 60.6 48.9
47.6 50.9 66.9 54
71.1 72.7 48 86.1
49.7 49.7 53.3  
49 82.9 70.7 69.5
59 54.1 60.5 82.9
82.3 86.1 72.8 59.5
51.4 63.2 99.9 53.5
79.2 51.4 52.8 70.7
76.3 93.3 63.2 63.2
84.7 53.5 64.1 66.6
67.9 42.1 77.2 48.1
64.9 72 44.9 53.5
86.8 63.2 64.5 38.3
55.9 75 71.6 66.2
46.1 70.7 86.1 71.6
65.4 51.4 52.8 78.7
107.3      

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

  

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