Question

You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α=0.05α=0.05.     

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2

You obtain the following two samples of data.

Sample #1	Sample #2
74.3 68.4 88.5 64.0 102.8 65.5 77.5 97.4 44.0	60.0 75.0 78.6 81.3 70.8 54.5 74.3 85.0 71.4 71.4 57.7 40.8 64.4

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

Answer 1

a)

test statistic = 1.108

b)

p value =0.1448

c)

B.greater than α

d)

C.fail to reject the null

e) D.There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.