Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 8.2, Problem 20E
College students with checking accounts typically write relatively few checks in any given month, whereas adults who are not students typically write many more checks during a month. Suppose that 50% of a bank’s accounts are held by students and that 50% are held by adults who are not students. Let x denote the number of checks written in a given month by a randomly selected bank customer.
- a. Make a sketch of what the
probability distribution of x might look like. - b. Suppose that the
mean value of x is 22.0 and that the standard deviation is 16.5. A random sample of n = 100 customers is to be selected. Where is the sampling distribution of - c. Referring to Part (b), what is the approximate probability that
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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
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
T
Chapter 8 Solutions
Introduction To Statistics And Data Analysis
Ch. 8.1 - Explain the difference between a population...Ch. 8.1 - What is the difference between x and ? Between s...Ch. 8.1 - For each of the following statements, identify the...Ch. 8.1 - Consider a population consisting of the following...Ch. 8.1 - Select 10 additional random samples of size 5 from...Ch. 8.1 - Consider the following population: {1, 2, 3, 4}....Ch. 8.1 - Consider the following population: {2, 3, 3, 4,...Ch. 8.2 - A random sample is selected from a population with...Ch. 8.2 - For which of the sample sizes given in the...Ch. 8.2 - Explain the difference between and x and between ...
Ch. 8.2 - Suppose that a random sample of size 64 is to be...Ch. 8.2 - The time that a randomly selected individual waits...Ch. 8.2 - Let x denote the time (in minutes) that it takes a...Ch. 8.2 - In the library on a university campus, there is a...Ch. 8.2 - Suppose that the mean value of interpupillary...Ch. 8.2 - Suppose that a sample of size 100 is to be drawn...Ch. 8.2 - A manufacturing process is designed to produce...Ch. 8.2 - College students with checking accounts typically...Ch. 8.2 - An airplane with room for 100 passengers has a...Ch. 8.2 - The thickness (in millimeters) of the coating...Ch. 8.3 - A random sample is to be selected from a...Ch. 8.3 - a. For which of the sample sizes given in the...Ch. 8.3 - The article Younger Adults More Likely than Their...Ch. 8.3 - The article referenced in the previous exercise...Ch. 8.3 - A certain chromosome defect occurs in only 1 in...Ch. 8.3 - The U.S. Census Bureau reported that in 2015, the...Ch. 8.3 - The article Fewer Americans Are Reading, But Dont...Ch. 8.3 - Suppose that a candidate for public office is...Ch. 8.3 - A manufacturer of computer printers purchases...Ch. 8 - The nicotine content in a single cigarette of a...Ch. 8 - Let x1, x2, , x100 denote the actual weights (in...Ch. 8 - Suppose that 20% of the subscribers of a cable...Ch. 8 - Water permeability of concrete can be measured by...Ch. 8 - Suppose that 40% of all U.S. employees contribute...Ch. 8 - The amount of money spent by a customer at a...
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