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[AP Statistics] 7.1b Biased and Unbiased Estimators

Last updated 7 months ago

18 questions

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Question 1

1.

Mrs. Chauvet has an interesting approach to assigning grades in her statistics class. Of the 5 tests students take throughout the semester, Mrs. Chauvet selects a random sample of 3, finds the average score of these tests, and records this average as the student’s final grade. Joe’s test scores are as follows: 93, 87, 96, 78, 90.

Is the sample mean an unbiased estimator of the population mean? How do you know?

Question 2

2.

Is the sample range an unbiased estimator of the population range? How do you know?

Question 3

3.

Compared to the other statistics, how would you describe Statistic A?

High Bias and High Variability

High Bias and Low Variability

Low Bias and High Variability

Low Bias and Low Variability

Question 4

4.

Compared to the other statistics, how would you describe Statistic B?

High Bias and High Variability

High Bias and Low Variability

Low Bias and High Variability

Low Bias and Low Variability

Question 5

5.

Compared to the other statistics, how would you describe Statistic C?

High Bias and High Variability

High Bias and Low Variability

Low Bias and High Variability

Low Bias and Low Variability

Question 6

6.

Question 7

7.

Is sample proportion an unbiased estimator of the population proportion?

Yes

No

Question 8

8.

Explain.

Question 9

9.

Question 10

10.

How does the variability of this sampling distribution compare with the variability of the sampling distribution from the previous problem?

Less variability than the previous problem

More variability than the previous problem

Question 11

11.

What does this indicate about increasing the sample size?

Question 12

12.

Question 13

13.

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ii

iii

iv

Question 14

14.

Explain

Question 15

15.

i

ii

iii

iv

Question 16

16.

Explain

Question 17

17.

A

B

C

D

E

Question 18

18.

Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.