The accompanying file contains sample data drawn independently from normally distributed populations with equal population variances.
Click here for the Excel Data File
a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.
b-1. Calculate the value of the test statistic.
Note: Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.
b-2. Find the p-value.
multiple choice 1
0.05 < p-value less than or equal to 0.10
p-value less than or equal to 0.01
0.01 < p-value less than or equal to 0.025
0.025 < p-value less than or equal to 0.05
p-value > 0.10
b-3. Do you reject the null hypothesis at the 1% level?
multiple choice 2
Yes, since the p-value is greater than the significance level.
No, since the p-value is greater than the significance level.
Yes, since the p-value is less than the significance level.
No, since the p-value is less than the significance level.
c. Do you reject the null hypothesis at the 10% level?
multiple choice 3
Yes, since the p-value is greater than the significance level.
No, since the p-value is greater than the significance level.
Yes, since the p-value is less than the significance level.
No, since the p-value is less than the significance level Sample 1 Sample 2
12.2 6.8
10.7 12.8
6 12.2
7.8 12.1
6.6 11
11.7 12.1
6 11.6
10.8 12.8