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

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 .