Statistics for Business and Economics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780134456997
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 9.4, Problem 9.59ACI
A new method of evaluating health care research reports. When evaluating research reports in health care, a popular tool is the Assessment of Multiple Systematic Reviews (AMSTAR). AMSTAR, which incorporates 11 items (questions), has been widely accepted by professional health associations. A group of dental researchers has revised the assessment tool and named it R-AMSTAR (The Open Dentistry Journal, Vol. 4, 2010). The revised assessment tool was validated on five systematic reviews (named R1, R2, R3, R4. and R5) on rheumatoid arthritis. For each review, scores on the 11 R-AMSTAR items (all measured on a 4-point scale) were obtained. The data are shown in the table at the bottom of the page.
- a. One goal of the study was to compare the mean item scores of the five reviews. Set up the null and alternative hypotheses for this test.
- b. Examine the data in the table and explain why a randomized block ANOVA is appropriate to apply.
- c. The Minitab output for a randomized block ANOVA of the data (with Review as treatments and Item as blocks) appears below. Interpret the p-values of the tests shown.
- d. The Minitab printout also reports the results of a Tukey multiple comparison analysis of the five Review means. Which pairs of means are significantly different? Do these results agree with your conclusion in part c?
- e. The experimentwise error rate used in the analysis of part d is .05. Interpret this value.
Data for Exercise 9.59
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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
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