You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 50.8 84.4...


You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.


      Ho:μ1=μ2Ho:μ1=μ2
      Ha:μ1≠μ2Ha:μ1≠μ2


You obtain the following two samples of data.













Sample #1Sample #2












































































50.884.472.178.4
72.948.887.436.1
78.851.774.756.3
65.298.672.572.1
72.954.269.873.4
51.768.559.486.8
48.847.648.885.6
65.243.476.169.8
43.469.455.674.3
108.992.477.946.4
47.693.36072.9
74.766.6













































































7284.366.175
86.596.647.179.1
7574.582.277.8
79.570.971.5104.8
88.881.799.889.3
91.287.9111.166.1
6879.582.661.4
90.7115.1106.960.4
50.185.761.4100.5
105.879.188.373
68.657.170.967.4
42.452.380.488.8






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







As such, the final conclusion is that...




  • There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.

  • There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.

  • The sample data support the claim that the first population mean is not equal to the second population mean.

  • There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.


Jun 02, 2022
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