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=0.01α=0.01.     

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2

You obtain the following two samples of data.

Sample #1	Sample #2
71.2 85.7 85.4 76.5 92.2 81.3 72.7 71.8 86.8 78.3 86.3 78.7 80.3 72.2	93.3 83.2 86.8 85.3 81.6 80.5 87.8 88.6 75.4

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...
   • 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.

Answer 1

Using Excel.

Output is

Summary :

Thank You!