Question

1)

You wish to test the claim that the first population mean is greater 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
37.0 29.1 40.7 52.0 75.0 56.4 72.1 60.8 67.1 50.4 32.5 65.3	32.8 70.4 21.6 25.3 57.3 22.1 4.3 39.4 42.9 50.3

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 greater than the second population mean.
   • There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
   • The sample data support the claim that the first population mean is greater than the second population mean.
   • There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.

2)

You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.01α=0.01.     

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2

You obtain the following two samples of data.

Sample #1	Sample #2
85.7 86.5 87.5 90.5 80.9 97.8 99.2 95.7 97.2 96.4	98.4 81.2 89.1 92.2 114.0 90.0 97.0 105.0 108.2 110.6 109.3 116.7 121.7 85.8

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 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.

Answer 1