A sample of midterm grades for five students showed the following results: 72, 65, 82, 90, 76. Which of the following statements are correct, and which should be challenged as being too generalized? a. The average midterm grade for the sample of five students is 77. b. The average midterm grade for all students who took the exam is 77. c. An estimate of the average midterm grade for all students who took the exam is 77. d. More than half of the students who take this exam will score between 70 and 85. e. If five other students are included in the sample, their grades will be between 65 and 90.

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

Solutions

Chapter
Section
Chapter 1, Problem 24SE
Textbook Problem
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A sample of midterm grades for five students showed the following results: 72, 65, 82, 90, 76. Which of the following statements are correct, and which should be challenged as being too generalized? a. The average midterm grade for the sample of five students is 77. b. The average midterm grade for all students who took the exam is 77. c. An estimate of the average midterm grade for all students who took the exam is 77. d. More than half of the students who take this exam will score between 70 and 85. e. If five other students are included in the sample, their grades will be between 65 and 90.

Expert Solution

a.

To determine

Find whether the statement “The average midterm grade for the sample of five students is 77” is correct or too generalized.

Explanation of Solution

Calculation:

The given information is that the sample consists of five students whose midterm grades are 72, 65, 82, 90, and 76.

In the statement, the average of the midterm grades for the sample is 77.

The average value is obtained as given below:

Average=72+

Expert Solution

b.

To determine

Find whether the statement “The average midterm grade for all students who took the exam is 77” is correct or too generalized.

Expert Solution

c.

To determine

Find whether the statement “An estimate of the average midterm grade for all students who took the exam is 77” is correct or too generalized.

Expert Solution

d.

To determine

Find whether the statement “More than half of the students who take this exam will score between 70 and 85” is correct or too generalized.

Expert Solution

e.

To determine

Find whether the statement “If five other students are included in the sample, their grades will be between 65 and 90” is correct or too generalized.

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