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Elementary Statistics:

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Presentation on theme: "Elementary Statistics:"— Presentation transcript:

1 Elementary Statistics:
Active Learning Lecture Slides For use with Classroom Response Systems Chapter 6: Confidence Intervals Elementary Statistics: Picturing the World Fourth Edition by Larson and Farber Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

2 Find a point estimate for the mean price of all textbooks.
A random sample of 42 textbooks has a mean price of $ and a standard deviation of $12.30. Find a point estimate for the mean price of all textbooks. $42 $12.30 $114.50 $2.73 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

3 Find a point estimate for the mean price of all textbooks.
A random sample of 42 textbooks has a mean price of $ and a standard deviation of $12.30. Find a point estimate for the mean price of all textbooks. $42 $12.30 $114.50 $2.73 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

4 Find the critical value zc necessary to form a 98% confidence interval.
2.33 2.05 0.5040 0.8365 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Find the critical value zc necessary to form a 98% confidence interval.
2.33 2.05 0.5040 0.8365 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Find a 98% confidence interval for the mean price of all textbooks.
A random sample of 42 textbooks has a mean price of $ and a standard deviation of $12.30. Find a 98% confidence interval for the mean price of all textbooks. (111.38, ) (110.08, ) (110.78, ) (109.61, ) Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Find a 98% confidence interval for the mean price of all textbooks.
A random sample of 42 textbooks has a mean price of $ and a standard deviation of $12.30. Find a 98% confidence interval for the mean price of all textbooks. (111.38, ) (110.08, ) (110.78, ) (109.61, ) Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Determine the minimum sample size needed to construct a 95% confidence interval for the mean age of employees at a company. The estimate must be accurate to within 0.5 year. Assume the standard deviation is 4.8 years. 18 19 354 355 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Determine the minimum sample size needed to construct a 95% confidence interval for the mean age of employees at a company. The estimate must be accurate to within 0.5 year. Assume the standard deviation is 4.8 years. 18 19 354 355 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Find the critical value tc necessary to form a 95% confidence interval with a sample size of 15.
1.960 2.145 2.131 2.120 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Find the critical value tc necessary to form a 95% confidence interval with a sample size of 15.
1.960 2.145 2.131 2.120 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Find a 95% confidence interval for the mean price of all DVD players.
A random sample of 15 DVD players has a mean price of $64.30 and a standard deviation of $5.60. Find a 95% confidence interval for the mean price of all DVD players. (61.20, 67.40) (61.47, 67.13) (61.22, 67.38) (61.10, 67.51) Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Find a 95% confidence interval for the mean price of all DVD players.
A random sample of 15 DVD players has a mean price of $64.30 and a standard deviation of $5.60. Find a 95% confidence interval for the mean price of all DVD players. (61.20, 67.40) (61.47, 67.13) (61.22, 67.38) (61.10, 67.51) Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 In a survey of 250 Internet users, 195 have high-speed Internet access at home.
Find a point estimate for the proportion of all Internet users who have high-speed Internet access at home. 1.28 0.78 0.22 195 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 In a survey of 250 Internet users, 195 have high-speed Internet access at home.
Find a point estimate for the proportion of all Internet users who have high-speed Internet access at home. 1.28 0.78 0.22 195 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 In a survey of 250 Internet users, 195 have high-speed Internet access at home.
Find a 90% confidence interval for the proportion of all Internet users who have high-speed Internet access at home. (1.19, 1.38) (0.728, 0.832) (0.731, 0.829) (0.737, 0.823) Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 In a survey of 250 Internet users, 195 have high-speed Internet access at home.
Find a 90% confidence interval for the proportion of all Internet users who have high-speed Internet access at home. (1.19, 1.38) (0.728, 0.832) (0.731, 0.829) (0.737, 0.823) Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 You want to estimate, with 95% confidence, the proportion of households with pets. Your estimate must be accurate within 3% of the population proportion. No preliminary estimate is available. Find the minimum sample size needed. 1141 3267 1068 1067 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 You want to estimate, with 95% confidence, the proportion of households with pets. Your estimate must be accurate within 3% of the population proportion. No preliminary estimate is available. Find the minimum sample size needed. 1141 3267 1068 1067 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Find the critical values and for a 98% confidence interval when the sample size is 25.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Find the critical values and for a 98% confidence interval when the sample size is 25.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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