Math 373
Practice Exam 2
Score _/50
Write your answers in the space provided, scratch paper isnt graded. Round numeric answers to 2 significant decimal places .
1(_/2). THEOREM. When the expected number of successes and failures exceeds 5, np > 5 and nq >
Math 373
Hw 14 Worked examples and comments.
8.41 To compare the starting salaries of graduates from education and social science, random samples of 50 recent graduates in each major are selected. mean std. dev. education 25,554 2,225 2,375 1x2 = 2206 x =
Math 373
Hw 16 Worked examples and comments.
Hw 308: 8.56, 8.58, 8.60b, 8.62. 8.64.
Page 308.
8.57(2). You wish to estimate a binomial proportion p
correct to within .04 with probability 95%. If p is in
[.1, .3], how large must n be?
The two endpoints, .1
Math 373
Hw 29 Worksheet for analysis of variance for regression.
Hw 523: 12.6, 12.10. Rec 523: 12.7. 531: 12.15.
Regression Line: TThe line a + bx which best approximates the data goes through (x, y) Slope b = r sy /sx . y = a + bx and thus a = bx. y SSx
Math 373
Hw 31 Worked examples and comments.
Hw 616: 14.4bcd, 14.8, 14.10, 14.12. Rec 616: 14.3, 14.5, 14.7, 14.13.
Worksheet for Chi-square tests for categorical data Number of categories: k = The expected probabilities of the categories: H0: p1= p2 = p3
Math 373
Hw 27 Worked examples and comments.
Hw 453: 11.29', 11.31'. Rec 453: 11.29, 11.31.
Page 453. 11.29(15). There are three blocks 1, 2, 3 and four treatments A, B, C, D. (a) Fill in the values for the block and treatment means .
stotal = 3.6794 TotS
Math 373
Hw 28 Worked examples and comments.
Hw 463: 11.40, 11.42 Rec 463: 11.39, 11.41, 11.43.
Comparing treatments and blocks vs. comparing factors. The rectangle in which plots and data are arranged for todays look a lot like those of last time. In fac
Math 373
Hw 24 Worked examples and comments.
Rec 390: 10.29. 10.35. 400: 10.45. 10.49.
Hw 390: 10.29', 10.32. 400: 10.44, 10.46
RECALL. 2 = (n 1)s 2 / 2 . A random sample of n = 25 observations from a normal population produced a sample variance s2 = 10 .
Math 373
Practice Exam 3
Score _/ 50
Complete both pages. Write your answers in the space provided, scratch paper isnt graded. Round answers to 2 decimal places.
1(_/3). DEFINITION. (a) For a test statistic e, define the p-value of e. (b) A Type II error
Math 373
Practice Exam 4
Score _/50
Complete both pages. Write your answers in the space provided, scratch paper isnt graded. For many of the following problems, the answer is yes or no. Getting (or guessing) the correct answer will give you 1/2 point. To
Math 373
Hw 23 Worked examples and comments.
Rec 383: 10.19, 10.25. 390: 10.29, 10.31, 10.33.
Hw 383: 10.16, 10.18, 10.22. 390: 10:29-31.
Page 383. 10.19. Independent random samples of n1= 16 and n2= 13 are selected from two normal populations. We wish to
Math 373
Hw 15 Worked examples and comments.
Rec. 302: 8.45, 8.47, 8.51. 308: 8.53.
Hw 302: 8.44, 8.46, 8.50. 308: 8.54.
Page 302. 8.45 Independent samples of n 1= 800 and n 2 = 640 observations are selected from binomial populations 1 and 2 with x1 = 337
Math 373
Hw 6 Worked examples and comments.
from the mean. Henc, in this case, instead of one number, the best we can do is the inequality: P(x ! 15) < .05. Suppose it isn't mound shaped, the best we can do is use Chebyshev's rule that at at least 1 - k12
Math 373
Hw 3 Worked examples and comments.
Rec. 96: 3.1. 106: 3.7. 126: 4.3, 4.5, 4.7 .
Hw. 96: 3.2. 106:3.7. 126: 4.2, 4.4, 4.6
3DJH. Males and females are divided into three groups A, B, C according to their answers to a questionnaire. A B C men women
Math 373
Hw 2 Comments and worked examples.
Rec. 53: 2.3abc. 61: 2.13abcd. 68: 2.17abc. 80: 2.29, 2.31.
Hw. 53: 2.2ab. 61: 2.14abcd. 68: 2.18abc. 80: 2.29, 2.30ab.
Calculator Once again, for this course you will need a calculator which can do "two variabl
Math 373
Hw 5 Worked examples and comments.
remaining 10%. On a particular play, the right guard takes a balanced stance. D Find the probability that the play will go to the left? Answer: .66 E Find the probability the play will go to the right? Answer: .
Math 373
Hw 13 Worked examples and comments.
8.17 In a survey of 1000 adults, 78% felt sports had a positive effect on society. (a) Estimate of the proportion of adults who feel sports have a positive effect. p = .78 (a') Find the margin of error. ME = .0
Math 373
Hw 11 Worked examples and comments.
Hw 252: 7.16, 7.18, 7.22, 7.24. Rec 252: 7.25a, 7.27ab.
Recommended exercises.
Page 252.
7.17
Suppose a random sample of n = 5 observations is selected
from a population that is normally distributed, with
mean
Math 373
Hw 9 Worked examples and comments. From Lecture 9
A potter must fill an order for 180 glazed pots. The glazing process cracks 20% of the pots. What is the probability that he can produce 180 crack-free items from 200 unglazed pots? This is a bino
Math 373
Hw 12 Worked examples and comments.
Hw 257: 7.30, 7.32, 7.36. Rec 257: 7.29, 7.33abdfg, 7.35abc, 7.37abcd.
Page 257.
Recommended exercises
7.27ab Suppose the distribution of potassium in a banana is
normally distributed, with mean equal to 630 mg
Math 373
Hw 17 Examples of hypotheses
6. You wish to show that Buicks survive crashes with less damage than Hondas H0 : Ha : 7. A psychic claims he can predict coin tosses correctly at least 55% of the time. You toss 100 coins and he correctly predicts 50
Math 373
Hw 7 Worked examples and comments.
Hw 201: 5.40, 5.42, 5.46. Rec 201: 5.41. 5.43, 5.45.
3DJH. Let x be the number of successes observed in a sample of n = 5 items selected from N = 10. Suppose that, of the N = 10 items, 6 are considered "successe