EBK ESSENTIAL STATISTICS FOR THE BEHAVI
2nd Edition
ISBN: 9781506386287
Author: PRIVITERA
Publisher: VST
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Chapter 13, Problem 28CAP
a.
To determine
To calculate: The proportion of variance (r2 ) in dependent variable (symptoms Y) which can be explained by the independent variable (level of cognitive functioning X).
b.
To determine
To calculate: The SSregression or the amount of variance which is predicted by the variable X.
c.
To determine
To calculate: The sum of squares for residual.
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Table 5: Measurement Data for Question 9
Part Number
Op-1, M-1
Op-1, M-2 | Op-2, M-1 Op-2, M-2 | Op-3, M-1
Op-3, M-2
1
21
20
20
20
19
21
2
24
23
24
24
23
24
3
4
5
6
7
8
9
10
11
21
12
8222332
201
21
20
22
20
22
27
27
28
26
27
28
19
18
19
21
24
21
22
19
17
18
24
23
25
25
23
26
20
20
18
19
17
13
23
25
25
2 3 3 3 3 2 3
18
18
21
21
23
22
24
22
20
19
23
24
25
24
20
21
19
18
25
25
14
24
24
23
25
24
15
29
30
30
28
31
16
26
26
25
26
25
17
20
20
19
20
20
843882388
20
18
25
20
19
25
25
30
27
20
18
19
21
19
19
21
23
19
25
26
25
24
25
25
20
19
19
18
17
19
17
Question 9
A measurement systems experiment involving 20 parts, three operators (Op-1, Op-2, Op-3), and two measure-
ments (M-1, M-2) per part is shown in Table 5.
(a) Estimate the repeatability and reproducibility of the gauge.
(b) What is the estimate of total gauge variability?"
(c) If the product specifications are at LSL = 6 and USL 60, what can you say about gauge capability?
Question 5
A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a
process.
(a) If three-sigma limits are used, find the sample size for the control charte
2
(b) Use the Poisson approximation to the binomial to find the probability of type I error.
(c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction
defective is actually p = 0.20.
Question 8
Ten parts are measured three times by the same operator in a gauge capability study. The data are shown in
Table 4.
(a) Describe the measurement error that results from the use of this gauge. I
(b) Estimate total variability and product variability.
(c) What percentage of total variability is due to the gauge?
(d) If specifications on the part are at 100±15, find the P/T ratio for this gauge. Comment on the adequacy
of the gauge.
3
Table 4: Measurement Data for Question 8
Part Number Measurement 1 Measurement 2 Measurement 3
1
2
100
95
101
100
93
97
3
101
103
100
4
96
95
97
5
98
98
96
6
99
98
98
7889
95
97
98
100
99
98
100
100
97
10
100
98
98
99
Chapter 13 Solutions
EBK ESSENTIAL STATISTICS FOR THE BEHAVI
Ch. 13 - Prob. 1FPCh. 13 - Prob. 2FPCh. 13 - Prob. 3FPCh. 13 - Prob. 4FPCh. 13 - Prob. 5FPCh. 13 - Prob. 6FPCh. 13 - Prob. 7FPCh. 13 - Prob. 8FPCh. 13 - Prob. 9FPCh. 13 - Prob. 10FP
Ch. 13 - Prob. 11CAPCh. 13 - Prob. 12CAPCh. 13 - Prob. 13CAPCh. 13 - Prob. 14CAPCh. 13 - Prob. 15CAPCh. 13 - Prob. 16CAPCh. 13 - Prob. 17CAPCh. 13 - Prob. 18CAPCh. 13 - Prob. 19CAPCh. 13 - Prob. 20CAPCh. 13 - Prob. 21CAPCh. 13 - Prob. 22CAPCh. 13 - Prob. 23CAPCh. 13 - Prob. 24CAPCh. 13 - Prob. 25CAPCh. 13 - Prob. 26CAPCh. 13 - Prob. 27CAPCh. 13 - Prob. 28CAPCh. 13 - Prob. 29CAPCh. 13 - Prob. 30CAPCh. 13 - Prob. 31CAPCh. 13 - Prob. 32PRCh. 13 - Prob. 33PRCh. 13 - Prob. 34PRCh. 13 - Prob. 35PRCh. 13 - Prob. 36PR
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