Question

You wish to test the claim that the first population mean is less than the second population mean 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
69.4 46.4 38.8 62.3 53.2 55.4 55.8 53.6 33.7 36.6 54.3 89.6 53.6 59.5 55.8	68.0 65.0 64.9 57.1 74.0 63.1 64.7 74.7 65.0 72.4 74.7

1. What is the test statistic for this sample?
   
   test statistic =   Round to 4 decimal places.
   
2. What is the p-value for this sample?
   
   p-value =  Round to 4 decimal places.
   
3. The p-value is...
   • less than (or equal to) αα
   • greater than αα
   
   
4. This test statistic leads to a decision to...
   • reject the null
   • accept the null
   • fail to reject the null
   
   
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean.
   • There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean.
   • The sample data support the claim that the first population mean is less than the second population mean.
   • There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.

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Answer 1