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Math 1040 - Review Answers: Chapters 1-10 - Prof. Andreas Weingartner, Study notes of Statistics

Answers to various math problems covering topics such as data types, sampling, descriptive statistics, correlation, hypothesis testing, and chi-square tests from math 1040. Students can use this document to check their understanding and prepare for exams.

Typology: Study notes

Pre 2010

Uploaded on 08/17/2009

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Math 1040 Review Answers
Chapters 1-3
1. (a) qualitative, nominal; (b) quantitative, interval; (c) qualitative, ordinal; (d) quantitative, ratio;
2. (a) stratified sample; (b) simple random, cluster, systematic, convenience.
3. (a) 16; (b) 10;
4. (a) Pie chart or bar graph.
5. (a) min=154, Q1=172, median=198, Q3=215, max=255; (b) 43; (c) 101.
6. (a) 196.3; (b) 198; (c) 28.2.
7. (a) 79.7; (b) 11.9.
8. (a) 0.6; (b) 68% ; (c) At least 75%.
9. (a) 5/14 = 0.36; (b) 9/14 = 0.64.
10. (a) 0.49; (b) 0.51.
11. (a) 0.58; (b) 0.42.
12. 495
13. 2730
Chapters 4-6
14. 0.9452
15. 124.75 and 145.25
16. 0.4772
17. (33.56, 59.28)
18. (0.1335, 0.2665)
19. (5811, 6589)
20. 25
21. (0.2196, 0.5263)
22. (a) 5; (b) 0.2503; (c) 0.2350.
23. (a) 0.2240; (b) 0.5768.
24. (a) P(-1)=0.999; P(349)=0.001; (b) -0.65; 11.06.
25. 385 (assuming the confidence level is 95%)
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Math 1040 – Review Answers Chapters 1-

  1. (a) qualitative, nominal; (b) quantitative, interval; (c) qualitative, ordinal; (d) quantitative, ratio;
  2. (a) stratified sample; (b) simple random, cluster, systematic, convenience.
  3. (a) 16; (b) 10;
  4. (a) Pie chart or bar graph.
  5. (a) min=154, Q1=172, median=198, Q3=215, max=255; (b) 43; (c) 101.
  6. (a) 196.3; (b) 198; (c) 28.2.
  7. (a) 79.7; (b) 11.9.
  8. (a) 0.6; (b) 68% ; (c) At least 75%.
  9. (a) 5/14 = 0.36; (b) 9/14 = 0.64.
  10. (a) 0.49; (b) 0.51.
  11. (a) 0.58; (b) 0.42.
  12. 495
  13. 2730

Chapters 4-

  1. 124.75 and 145.
  2. (33.56, 59.28)
  3. (0.1335, 0.2665)
  4. (5811, 6589)
  5. 25
  6. (0.2196, 0.5263)
  7. (a) 5; (b) 0.2503; (c) 0.2350.
  8. (a) 0.2240; (b) 0.5768.
  9. (a) P(-1)=0.999; P(349)=0.001; (b) -0.65; 11.06.
  10. 385 (assuming the confidence level is 95%)

Chapters 7-

  1. 0.8758; positive linear correlation.
  2. 0.7670; 77% of the variation in yield is explained by the variation in rainfall.
  3. t=4.06; reject Ho; there is significant correlation between rainfall and yield.
  4. y=27.2+2.06 x; y=58.1.
  5. 5.97; given a fixed amount of rainfall, the standard deviation of yield is 5.97.
  6. (40.8, 75.4)
  7. z=1.79; reject Ho; coin is not fair.
  8. t=3.52; reject Ho; mean number of interviews is more than 53.
  9. z=-1.71; fail to reject Ho; not enough evidence to conclude that male students earn more.
  10. t=3.16; reject Ho; the incentive program works.
  11. z=-1.19; fail to reject Ho; not enough evidence to conclude that there is a difference.

Chapter 10

  1. χ^2 = 16.18; reject Ho; enough evidence to conclude that the teacher is wrong.
  2. F=1.98; fail to reject Ho; not enough evidence to conclude that women have a lower variance of blood pressure.
  3. F=4.67; reject Ho; the type of fertilizer does make a difference.