Question

Exhibit 10-3 A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. Final examination scores from a random sample of students enrolled today and from a random sample of students enrolled five years ago were selected. You are given the following information. Today Five Years Ago 82 88 σ2 112.5 54 n 45 36 Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is _____. Group of answer choices

Answer 1

Answer: 6

Step-by-step explanation:

According to the given formation , we have

                                            Today Five                 Years Ago

Sample mean                   $\overline{x}_1=82$       $\overline{x}_2=88$

Variance ($\sigma^2$)              112                     24

Sample size (n)                         45                           36

We know that , the point estimate for the difference between the means of the two populations is the difference between the sample means .

Then, the point estimate for the difference between the means of the two populations is $\overline{x}_1-\overline{x}_2=88-82=6$

Hence, the point estimate for the difference between the means of the two populations is 6 .