Select the correct answer. Which pair of statements correctly compares the two data sets? A. The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set. B. The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set. C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set. D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!