Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Textbook Question
Chapter 3, Problem 3.57CE
A quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results, in tons of force required for breakage, are as follows:
2.20 1.95 2.15 2.08 1.85 1.92
2.23 2.19 1.98 2.07 2.24 2.31
1.96 2.30 2.27 1.89
a. Determine the
b. Calculate the mean absolute deviation.
c. Calculate the standard deviation and variance.
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Concrete blocks to be used in a certain application are supposed to have a mean
compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The
compressive strengths of the last 40 samples are given in the following table.
Sample
Strength
1487
1463
3
1499
1502
1473
1520
1520
1495
1503
10
1499
11
1497
12
1516
13
1489
14
1545
15
1498
16
1503
17
1522
18
1502
1499
1484
19
20
21
1507
22
1474
23
1515
1533
1487
1518
24
25
26
27
1526
28
1469
29
1472
30
1512
1483
1505
31
32
33
1507
34
1505
1517
1504
35
36
37
1515
38
1467
39
1491
40
1488
Previous results suggest that a value of o = 15 is reasonable for this process.
a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct
a CUSUM chart.
b. Is the process mean in control? If not, when is it first detected to be out of control?
A quality inspector measured the diameter of a ball bearing using a new type of caliper. The
results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265,
0.268, 0.268, and 0.263.
Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is 0.265
mm. Use a = 0.05.
Match the answers.
v Parameter of Interest:
a. w 0.265
1. Reject the null hypothesis. The mean ball diameter claim is not 0.265 mm.
A quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results in tons of force required for brekage, are as follows: 2.20 1.95 2.15 2.08 1.85 1.92 2.23 2.19 1.98 2.07 2.24 2.31 1.96 2.30 2.27 1.89 (a) Determine the mean, median, range and midrange. (b) Calculate the mean absolute deviation (c) Calculate the standard deviation and variance. (d) Calculate the coefficient of skewness. (e) what is the i. 75th percentile ii. 68th percentile and 6th decile.
Chapter 3 Solutions
Introduction to Business Statistics
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