Miscellanea math-241:m241-s16-hw

math-241:m241-s16-hw:hw-1

Anonymous (anonymous@undisclosed.example.com) — 2016-01-10T10:00:25+00:00

Mathematics 241 - Spring 2016 Homework * Suppose the following 20 birthweights (in ounces) were recorded at a maternity ward: 131, 120, 112, 88, 114, 128, 133, 104, 108, 94, 133, 124, 84, 132, 107, 144, 93, 114, 116, 120. * Create a file called birthweight.txt with the data in a column labeled Weight.

math-241:m241-s16-hw:hw-2

Anonymous (anonymous@undisclosed.example.com) — 2016-01-14T06:41:02+00:00

Mathematics 241 - Spring 2016 Homework Chapter 2 Exercise Set A: 1, 2, 5, 7, 8, 9, 10, 13, 14, 15

math-241:m241-s16-hw:hw-3

Anonymous (anonymous@undisclosed.example.com) — 2016-01-14T06:40:17+00:00

Mathematics 241 - Spring 2016 Homework Chapter 3 Exercise Set A: 1, 2, 4, 5, 6, 7, 8 Also: Suppose 30 high school students take the SAT test, with the resulting scores: 469, 494, 406, 589, 613, 698, 517, 602, 504, 571, 588, 598, 503, 551, 612, 579, 466, 392, 400, 569, 575, 340, 298, 385, 548, 546, 351, 548, 799, 547

math-241:m241-s16-hw:hw-4

Anonymous (anonymous@undisclosed.example.com) — 2016-01-21T06:39:48+00:00

Mathematics 241 - Spring 2016 Homework Section 3.2 Exercise Set B: 1, 2, 3, 4 (To draw the histograms, treat the percentages as frequencies) Section 3.3 Exercise Set C: 1, 4 And: Import the data in the file http://dananne.org/fu/courses/math-241/R/height.txt into RStudio. Suppose the data in this file contains the observed heights of 200 male adults. Create a histograms for this data (using proportions), trying out various options, such as changing the number of intervals and specifying …

math-241:m241-s16-hw:hw-5

Anonymous (anonymous@undisclosed.example.com) — 2016-01-21T08:45:46+00:00

Mathematics 241 - Spring 2016 Homework Section 3.4 Exercise Set D: 1, 2 Section 3.5 Exercise Set E: 1, 2 Section 3.6 Exercise Set F: 1, 2, 3 Also: In an 1889 study in Saxony, 6115 families with 12 children were classified according to the number of male children in each family. The following table shows the results:

math-241:m241-s16-hw:hw-6

Anonymous (anonymous@undisclosed.example.com) — 2016-01-26T08:01:11+00:00

Mathematics 241 - Spring 2015 Homework Section 4.2 Exercise Set A: 2, 4, 5, 8, 9 Section 4.3 Exercise Set B: 1, 2, 5 Section 4.4 Exercise Set C: 1, 3, 6 Section 4.5 Exercise Set D: 1, 7, 8 Section 4.6 Exercise Set E: 1, 4, 5, 6, 7, 11 Also:

math-241:m241-s16-hw:hw-7

Anonymous (anonymous@undisclosed.example.com) — 2016-01-28T06:07:07+00:00

Mathematics 241 - Spring 2016 Homework Section 5.1 Exercise Set A: 1, 2 Section 5.2 Exercise Set B: 1, 4, 5 Section 5.3 Exercise Set C: 1, 2

math-241:m241-s16-hw:hw-8

Anonymous (anonymous@undisclosed.example.com) — 2016-02-03T12:18:12+00:00

Mathematics 241 - Spring 2016 Homework Section 5.4 Exercise Set D: 2, 3 Section 5.5 Exercise Set E: 1, 2, 3 Also: * Suppose the following 20 birth weights (in ounces) were recorded at a maternity ward: 131, 120, 112, 88, 114, 128, 133, 104, 108, 94, 133, 124, 84, 132, 107, 144, 93, 114, 116, 120. Use R to compute the the first and third sample quartiles of the birthweights, and the interquartile range.

math-241:m241-s16-hw:hw-9

Anonymous (anonymous@undisclosed.example.com) — 2016-02-02T08:52:11+00:00

Mathematics 241 - Spring 2016 Homework Chapter 6 Review Exercises (page 104): 1, 2, 3, 5

math-241:m241-s16-hw:hw-10

Anonymous (anonymous@undisclosed.example.com) — 2016-02-04T06:24:07+00:00

Mathematics 241 - Spring 2016 Homework Section 13.1 Exercise Set A: 1, 2, 3, 4, 5 Section 13.2 Exercise Set B: 1, 2, 3, 4 Section 13.3 Exercise Set C: 1, 2, 3, 4, 5, 7

math-241:m241-s16-hw:hw-11

Anonymous (anonymous@undisclosed.example.com) — 2016-02-11T06:43:51+00:00

Mathematics 241 - Spring 2015 Homework Section 13.4 Exercise Set D: 1, 2, 3, 5, 7 Section 14.1 Exercise Set A: 1, 2, 3, 4 Section 14.2 Exercise Set B: 1, 2, 3, 4, 5, 6 Section 14.3 Exercise Set C: 1, 2, 4 Section 14.4 Exercise Set D: 4, 5, 6, 7

math-241:m241-s16-hw:hw-12

Anonymous (anonymous@undisclosed.example.com) — 2016-02-11T06:41:48+00:00

Mathematics 241 - Spring 2016 Homework Section 15.1 Exercise Set A: 1, 2, 3, 4, 5, 6 Also: * Suppose a fair dice is rolled 600 times. Find the probability of rolling * exactly 100 sixes, * 100 or fewer sixes, * 100 or more sixes. *

math-241:m241-s16-hw:hw-13

Anonymous (anonymous@undisclosed.example.com) — 2016-02-14T07:08:02+00:00

Mathematics 241 - Spring 2016 Homework Section 16.1 Exercise Set A: 1, 2, 3, 4, 6, 7, 8 Section 16.3 Exercise Set B: 1, 2, 4

math-241:m241-s16-hw:hw-14

Anonymous (anonymous@undisclosed.example.com) — 2016-02-16T06:58:21+00:00

Mathematics 241 - Spring 2016 Homework Section 16.4 Exercise Set C: 1, 2, 3

math-241:m241-s16-hw:hw-15

Anonymous (anonymous@undisclosed.example.com) — 2016-02-22T06:30:31+00:00

Mathematics 241 - Spring 2016 Homework Section 17.1 Exercise Set A: 1, 2, 3, 4, 5 Section 17.2 Exercise Set B: 1, 2, 4, 5, 6, 7 Also: A gambler bets on a split in roulette (see Problem 2 on page 284). The gambler wins 17 dollars if either number in the split comes up, and loses one dollar otherwise.$\mu = -\frac{1}{19}$$100 \times \mu = -\frac{100}{19} = -5.263$$\sigma = 4.019$$\sqrt{100} \times \sigma = 40.19$

math-241:m241-s16-hw:hw-16

Anonymous (anonymous@undisclosed.example.com) — 2016-02-21T10:27:19+00:00

Mathematics 241 - Spring 2016 Homework Section 17.3 Exercise Set C: 1, 2, 3, 5, 6, 7 Section 17.5 Exercise Set E: 1, 2, 3, 6, 7, 9 Section 18.4 Exercise Set B: 3, 4, 5 Section 18.5 Exercise Set C: 2, 5, 6 And: Suppose a die has two faces with one dot, and the remaining faces are labeled 3, 4, 5, and 6. If the die is rolled 100 times, approximate the probability that the sum is (a) exactly 350, (b) between 300 and 350, inclusive, and (

math-241:m241-s16-hw:hw-17

Anonymous (anonymous@undisclosed.example.com) — 2016-02-23T08:29:36+00:00

Mathematics 241 - Spring 2016 Homework Read Chapter 19.

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Anonymous (anonymous@undisclosed.example.com) — 2016-02-25T06:08:21+00:00

Mathematics 241 - Spring 2016 Homework Section 19.8 Exercise Set A: 1, 2, 3, 4, 5, 6, 11, 12 Section 20.2 Exercise Set A: 1, 2, 4, 8

math-241:m241-s16-hw:hw-19

Anonymous (anonymous@undisclosed.example.com) — 2016-02-28T09:34:28+00:00

Mathematics 241 - Spring 2016 Homework Section 20.3 Exercise Set B: 1, 2, 3 Section 20.4 Exercise Set C: 1, 2, 3, 4, 5

math-241:m241-s16-hw:hw-20

Anonymous (anonymous@undisclosed.example.com) — 2016-03-01T06:43:26+00:00

Mathematics 241 - Spring 2016 Homework Section 21.1 Exercise Set A: 3, 4, 5 Section 21.2 Exercise Set B: 2, 4 Section 21.3 Exercise Set C: 1, 3, 6, 7 Section 21.4 Exercise Set D: 1, 2 Also: Suppose that in a simple random sample of 1500 adults in the United States, 800 say they support the Affordable Care Act passed by Congress. Find confidence intervals for the true proportion of adults who support the health care reform at a (a) 95% confidence level, (b) 80% confidence level, and (

math-241:m241-s16-hw:hw-21

Anonymous (anonymous@undisclosed.example.com) — 2016-03-03T08:42:09+00:00

Mathematics 241 - Spring 2016 Homework Section 23.1 Exercise Set A: 1, 2, 3, 4, 9 Section 23.2 Exercise Set B: 1, 4, 5, 6, 7 Section 23.3 Exercise Set C: 1, 5, 6 Section 23.4 Exercise Set D: 1, 2, 4, 6 Also: * The file http://dananne.org/fu/courses/math-241/R/height.txt contains the observed heights of 200 male adults. Find (a) 95%, (b) 90%, ( c) 80%, and (d) 99% confidence intervals for the true average height of adult males.

math-241:m241-s16-hw:hw-22

Anonymous (anonymous@undisclosed.example.com) — 2016-03-12T14:33:44+00:00

Mathematics 241 - Spring 2016 Homework Section 26.1 Exercise Set A: 1, 2, 3, 4, 5 Section 26.2 Exercise Set B: 2, 3, 5 Section 26.3 Exercise Set C: 1, 3, 4, 7, 8 Section 26.4 Exercise Set D: 1, 2, 3, 4, 5 Section 26.5 Exercise Set E: 1, 2, 3, 4, 5, 6, 7, 8, 10, 11

math-241:m241-s16-hw:hw-23

Anonymous (anonymous@undisclosed.example.com) — 2016-03-16T10:47:36+00:00

Mathematics 241 - Spring 2016 Homework Section 26.6 Exercise Set F: 1, 3, 4, 5, 6, 7

math-241:m241-s16-hw:hw-24

Anonymous (anonymous@undisclosed.example.com) — 2016-03-19T16:09:34+00:00

Mathematics 241 - Spring 2016 Homework * When working properly, a cereal packaging machine is supposed to place 16 ounces of cereal in each box. A random sample of 10 boxes gave the following weights: 15.3, 16.1, 16.3, 15.2, 15.6, 16.4, 15.9, 15.0, 14.8, 15.1. Assuming the data are from a normal distribution with mean $\mu$$H_0 : \mu = 16$$H_1 : \mu < 16$$H_1 : \mu \ne 16$$\mu$$\mu$$p$$H_0 : p = \frac{1}{2}$$p$$p$$H_0 : \mu = 0$$H_1 : \mu > 0$$2.2 \times 10^{-16}$$p = \frac{1}{4}$$H_0 : p = …

math-241:m241-s16-hw:hw-25

Anonymous (anonymous@undisclosed.example.com) — 2016-03-22T07:00:30+00:00

Mathematics 241 - Spring 2016 Homework Section 27.1 Exercise Set A: 2, 6 Section 27.2 Exercise Set B: 2, 4, 7, 8 Section 27.3 Exercise Set C: 2, 4 And: * In an experiment to determine the effect of a drug on the blood glucose concentration of diabetic rats, six rats were given the drug while five others were used as controls. The blood glucose levels of the treated group (in mg/ml) were 2.02, 1.71, 2.04, 1.50, 1.83, and 1.64; for the controls, the levels were 2.15, 1.92, 1.78, 2.04, a…

math-241:m241-s16-hw:hw-26

Anonymous (anonymous@undisclosed.example.com) — 2016-03-29T06:10:29+00:00

Mathematics 241 - Spring 2016 Homework Section 27.2 Exercise Set B: 3, 6 Section 27.4 Exercise Set D: 2, 3, 4, 6, 7

math-241:m241-s16-hw:hw-27

Anonymous (anonymous@undisclosed.example.com) — 2016-03-31T09:59:48+00:00

Mathematics 241 - Spring 2016 Homework Section 28.2 Exercise Set A: 1, 2, 3, 4, 5, 6, 7, 9 Section 28.3 Exercise Set B: 3 And: The following table gives the number of deaths due to accidental falls in the United States for 1970: Month Number of Deaths $\chi^2 = 75.4273$$1.22 \times 10^{-11}$

math-241:m241-s16-hw:hw-28

Anonymous (anonymous@undisclosed.example.com) — 2016-04-03T09:05:45+00:00

Mathematics 241 - Spring 2015 Homework Section 28.4 Exercise Set C: 2, 3, 5, 6, 7 Review Exercises (page 541): 3 Also: In a study of the relationship between laterality of hand and laterality of eye, 413 subjects were classified according to these two characteristics. The results are in the following table$\chi^2 = 4.0205$$\chi^2 = 14.2415$

math-241:m241-s16-hw:hw-29

Anonymous (anonymous@undisclosed.example.com) — 2016-04-05T09:05:08+00:00

Mathematics 241 - Spring 2016 Homework Section 7.1 Exercise Set A: 1 Section 7.2 Exercise Set B: 1 Section 7.3 Exercise Set C: 1 Section 7.4 Exercise Set D: 1, 2, 3, 4, 5, 6 Section 7.5 Exercise Set E: 1, 2, 4, 5 Section 8.1 Exercise Set A: 1, 2, 4, 5, 6

math-241:m241-s16-hw:hw-30

Anonymous (anonymous@undisclosed.example.com) — 2016-04-07T10:07:05+00:00

Mathematics 241 - Spring 2016 Homework Section 8.2 Exercise Set B: 1, 2, 3, 4, 5, 6 Section 8.4 Exercise Set D: 1 Section 9.1 Exercise Set A: 6, 8, 9, 10 Section 9.2 Exercise Set B: 1, Section 9.3 Exercise Set C: 1, 2, 4 Section 9.4 Exercise Set D: 1, 2$r$$r = 0.5013$

math-241:m241-s16-hw:hw-31

Anonymous (anonymous@undisclosed.example.com) — 2016-04-13T17:33:25+00:00

Mathematics 241 - Spring 2016 Homework Homework Section 10.1 Exercise Set A: 1, 2, 4 Section 10.3 Exercise Set C: 1 Also: The file http://dananne.org/fu/courses/math-241/R/pearson.txt contains the data from Karl Pearson's study of the heights of 1078 fathers and sons discussed in Section 8.1. The data is in a table, with the first column labeled $y = 33.8866 + 0.5141x$$67.30$$72.44$

math-241:m241-s16-hw:hw-32

Anonymous (anonymous@undisclosed.example.com) — 2016-04-18T06:23:30+00:00

Mathematics 241 - Spring 2016 Homework Homework Section 10.4 Exercise Set D: 1, 2, 3 Section 11.1 Exercise Set A: 3 Section 11.3 Exercise Set C: 1, 2, 3 Section 12.1 Exercise Set A: 1, 2 Section 12.2 Exercise Set B: 1, 2, 3, 4, 5 And: *

math-241:m241-s16-hw:hw-33

Anonymous (anonymous@undisclosed.example.com) — 2016-04-19T08:46:11+00:00

Mathematics 241 - Spring 2016 Homework Homework Section 10.5 Exercise Set E: 1, 2, 3 Also: * The file http://dananne.org/fu/courses/math-241/R/pearson.txt contains the data from Karl Pearson's study of the heights of 1078 fathers and sons discussed in Section 8.1. The data is in a table, with the first column labeled $H_0 : \beta = 0$$H_1 : \beta \ne 0$$\beta$$H_0 : \beta = 0$$H_1 : \beta \ne 0$$\beta$$(62.5, 72.1)$$(67.1, 67.5)$$t = 19.01$$2 \times 10^{-16}$$(61.2, 70.6)$$(65.7, 66.1)$$…