Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 7.3, Problem 4AYU
In Problems 3–6, use the results in the table to (a) draw a normal
4. 
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Compute the relative risk of falling for the two groups (did not stop walking vs. did stop). State/interpret your result verbally.
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
Chapter 7 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 7.1 - A _____ _____ _____ is an equation used to compute...Ch. 7.1 - A _______ is an equation, table, or graph used to...Ch. 7.1 - True or False: The normal curve is symmetric about...Ch. 7.1 - The area under the normal curve to the right of ...Ch. 7.1 - The points at x = _____ and x = _____ are the...Ch. 7.1 - The area under a normal curve can be interpreted...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - Prob. 10AYU
Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - Problems 1316 use the information presented in...Ch. 7.1 - Problems 1316 use the information presented in...Ch. 7.1 - Prob. 15AYUCh. 7.1 - Problems 1316 use the information presented in...Ch. 7.1 - Uniform Distribution The random-number generator...Ch. 7.1 - Uniform Distribution The reaction time X (in...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - One graph in the figure on the following page...Ch. 7.1 - One graph in the figure below represents a normal...Ch. 7.1 - In Problems 2528, the graph of a normal curve is...Ch. 7.1 - In Problems 2528, the graph of a normal curve is...Ch. 7.1 - Prob. 27AYUCh. 7.1 - In Problems 2528, the graph of a normal curve is...Ch. 7.1 - In Problems 29 and 30, draw a normal curve and...Ch. 7.1 - Prob. 30AYUCh. 7.1 - NW You Explain It! Cell Phone Rates Monthly...Ch. 7.1 - You Explain It! Refrigerators The lives of...Ch. 7.1 - You Explain It! Birth Weights The birth weights of...Ch. 7.1 - You Explain It! Height of 10-Year-Old Males The...Ch. 7.1 - NW You Explain It! Gestation Period The lengths of...Ch. 7.1 - Prob. 36AYUCh. 7.1 - Hitting with a Pitching Wedge In the game of golf,...Ch. 7.1 - Heights of Five-Year-Old Females The following...Ch. 7.1 - Cardiac Arrest Researchers conducted a prospective...Ch. 7.2 - A random variable Z that is normally distributed...Ch. 7.2 - The notation z is the z-score such that the area...Ch. 7.2 - If X is a normal random variable with mean 40 and...Ch. 7.2 - If X is normal random variable with mean 40 and...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1922, find the value of z. 19. NW...Ch. 7.2 - In Problems 1922, find the value of z. 20. z0.02Ch. 7.2 - In Problems 1922, find the value of z. 21. z0.025Ch. 7.2 - In Problems 1922, find the value of z. 22. z0.015Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - Egg Incubation Times The mean incubation time of...Ch. 7.2 - Reading Rates The reading speed of sixth-grade...Ch. 7.2 - NW Chips Ahoy! Cookies The number of chocolate...Ch. 7.2 - Wendys Drive-Through Fast-food restaurants spend...Ch. 7.2 - Gestation Period The lengths of human pregnancies...Ch. 7.2 - Light Bulbs General Electric manufactures a...Ch. 7.2 - Manufacturing Steel rods are manufactured with a...Ch. 7.2 - Manufacturing Ball bearings are manufactured with...Ch. 7.2 - NCAA Basketball Point Spreads In sports betting,...Ch. 7.2 - Prob. 46AYUCh. 7.2 - NW Egg Incubation Times The mean incubation time...Ch. 7.2 - Reading Rates The reading speed of sixth-grade...Ch. 7.2 - Chips Ahoy! Cookies The number of chocolate chips...Ch. 7.2 - Wendys Drive-Through Fast-food restaurants spend...Ch. 7.2 - Speedy Lube The time required for Speedy Lube to...Ch. 7.2 - Putting It Together: Birth Weights The following...Ch. 7.2 - Prob. 53AYUCh. 7.2 - Prob. 54AYUCh. 7.2 - Explain why P(X 220) should be reported as ...Ch. 7.2 - The ACT and SAT are two college entrance exams....Ch. 7.3 - A _____ _____ _____ is a graph that plots observed...Ch. 7.3 - True or False: A normal score is the expected...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - Chips per Bag In a 1998 advertising campaign,...Ch. 7.3 - Hours of TV A random sample of college students...Ch. 7.3 - Putting It Together: Demon Roller Coaster Retrieve...Ch. 7.4 - In a binomial experiment with n trials and...Ch. 7.4 - When adding or subtracting 0.5 from X, we are...Ch. 7.4 - Suppose X is a binomial random variable. To...Ch. 7.4 - Suppose X is a binomial random variable. To...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - Prob. 9AYUCh. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - Prob. 11AYUCh. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - Prob. 13AYUCh. 7.4 - Prob. 14AYUCh. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - Prob. 19AYUCh. 7.4 - Prob. 20AYUCh. 7.4 - NW On-Time Flights According to American Airlines,...Ch. 7.4 - Prob. 22AYUCh. 7.4 - Prob. 23AYUCh. 7.4 - Sneeze According to a study done by Nick Wilson of...Ch. 7.4 - Males Living at Home According to the Current...Ch. 7.4 - Females Living at Home According to the Current...Ch. 7.4 - NW Boys Are Preferred In a Gallup poll, 37% of...Ch. 7.4 - Liars According to a USA Today Snapshot, 3% of...Ch. 7 - Use the figure to answer the questions that...Ch. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - Find the z-score such that the area to the right...Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Tire Wear Suppose that Dunlop Tire manufactures a...Ch. 7 - Wechsler Intelligence Scale The Wechsler...Ch. 7 - Major League Baseballs According to Major League...Ch. 7 - America Reads According to a Gallup poll, 46% of...Ch. 7 - Prob. 14RECh. 7 - Hector obtained a random sample of twenty recent...Ch. 7 - Density of Earth In 1798, Henry Cavendish obtained...Ch. 7 - Creative Thinking According to a USA Today...Ch. 7 - A continuous random variable X is uniformly...Ch. 7 - List the properties of the normal density curve.Ch. 7 - Prob. 20RECh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Suppose that the talk time on the Apple iPhone is...Ch. 7 - The waist circumference of males 2029 years old is...Ch. 7 - Suppose the scores earned on Professor McArthurs...Ch. 7 - In a poll conducted by the Gallup organization,...Ch. 7 - Prob. 10CTCh. 7 - A continuous random variable X is uniformly...Ch. 7 - The reference interval for HDL cholesterol is...
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- 4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether there is an association between the behavior of the elderly person (did not stop to talk, did stop to talk) and their likelihood of falling. Below, please state your null and alternative hypotheses, calculate your expected values and write them in the table, compute the test statistic, test the null by comparing your test statistic to the critical value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and provide your conclusions in written form. Make sure to show your work. Did not stop walking to talk Stopped walking to talk Suffered a fall 12 11 Totals 23 Did not suffer a fall | 2 Totals 35 37 14 46 60 Tarrow_forwardQuestion 2 Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are collected, and the compressive strengths (in psi) are shown in Table 2. Table 2: Strength Data for Question 2 Sample Number x1 x2 23 x4 x5 R 1 83.0 2 88.6 78.3 78.8 3 85.7 75.8 84.3 81.2 78.7 75.7 77.0 71.0 84.2 81.0 79.1 7.3 80.2 17.6 75.2 80.4 10.4 4 80.8 74.4 82.5 74.1 75.7 77.5 8.4 5 83.4 78.4 82.6 78.2 78.9 80.3 5.2 File Preview 6 75.3 79.9 87.3 89.7 81.8 82.8 14.5 7 74.5 78.0 80.8 73.4 79.7 77.3 7.4 8 79.2 84.4 81.5 86.0 74.5 81.1 11.4 9 80.5 86.2 76.2 64.1 80.2 81.4 9.9 10 75.7 75.2 71.1 82.1 74.3 75.7 10.9 11 80.0 81.5 78.4 73.8 78.1 78.4 7.7 12 80.6 81.8 79.3 73.8 81.7 79.4 8.0 13 82.7 81.3 79.1 82.0 79.5 80.9 3.6 14 79.2 74.9 78.6 77.7 75.3 77.1 4.3 15 85.5 82.1 82.8 73.4 71.7 79.1 13.8 16 78.8 79.6 80.2 79.1 80.8 79.7 2.0 17 82.1 78.2 18 84.5 76.9 75.5 83.5 81.2 19 79.0 77.8 20 84.5 73.1 78.2 82.1 79.2 81.1 7.6 81.2 84.4 81.6 80.8…arrow_forwardName: Lab Time: Quiz 7 & 8 (Take Home) - due Wednesday, Feb. 26 Contingency Analysis (Ch. 9) In lab 5, part 3, you will create a mosaic plot and conducted a chi-square contingency test to evaluate whether elderly patients who did not stop walking to talk (vs. those who did stop) were more likely to suffer a fall in the next six months. I have tabulated the data below. Answer the questions below. Please show your calculations on this or a separate sheet. Did not stop walking to talk Stopped walking to talk Totals Suffered a fall Did not suffer a fall Totals 12 11 23 2 35 37 14 14 46 60 Quiz 7: 1. (2 pts) Compute the odds of falling for each group. Compute the odds ratio for those who did not stop walking vs. those who did stop walking. Interpret your result verbally.arrow_forward
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