Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 7.3, Problem 40E
a.
To determine
Find the assumptions required about the population of tensile strength to obtain lower prediction bound for the tensile strength of next specimen.
b.
To determine
Check whether it is reasonable to conclude that the population of tensile strength follows
c.
To determine
Find and interpret the 95% lower prediction bound for the tensile strength of next specimen.
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Given the following sample data values:
7, 12, 15, 9, 15, 13, 12, 10, 18,12
Find the following:
a) Σ
x=
b) x² =
c) x =
n
d) Median
=
e) Midrange
x
=
(Enter a whole number)
(Enter a whole number)
(use one decimal place accuracy)
(use one decimal place accuracy)
(use one decimal place accuracy)
f) the range=
g) the variance, s²
(Enter a whole number)
f) Standard Deviation, s =
(use one decimal place accuracy)
Use the formula s²
·Σx² -(x)²
n(n-1)
nΣ x²-(x)²
2
Use the formula s =
n(n-1)
(use one decimal place accuracy)
Table of hours of television watched per week:
11
15 24
34
36
22
20
30
12
32
24
36
42
36
42
26
37
39
48
35
26
29
27
81276
40
54
47
KARKE
31
35
42
75
35
46
36
42
65
28
54 65
28
23
28
23669
34
43 35 36
16
19
19
28212
Using the data above, construct a frequency table according the following
classes:
Number of Hours Frequency Relative Frequency
10-19
20-29
|30-39
40-49
50-59
60-69
70-79
80-89
From the frequency table above, find
a) the lower class limits
b) the upper class limits
c) the class width
d) the class boundaries
Statistics 300
Frequency Tables and Pictures of Data, page 2
Using your frequency table, construct a frequency and a relative frequency
histogram labeling both axes.
Table of hours of television watched per week:
11
15 24
34
36
22
20
30
12
32
24
36
42
36
42
26
37
39
48
35
26
29
27
81276
40
54
47
KARKE
31
35
42
75
35
46
36
42
65
28
54 65
28
23
28
23669
34
43 35 36
16
19
19
28212
Using the data above, construct a frequency table according the following
classes:
Number of Hours Frequency Relative Frequency
10-19
20-29
|30-39
40-49
50-59
60-69
70-79
80-89
From the frequency table above, find
a) the lower class limits
b) the upper class limits
c) the class width
d) the class boundaries
Statistics 300
Frequency Tables and Pictures of Data, page 2
Using your frequency table, construct a frequency and a relative frequency
histogram labeling both axes.
Chapter 7 Solutions
Probability and Statistics for Engineering and the Sciences
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