4. You are a quality control manager at The Laughing Tomato (HAHAHAHA). You’ve been told bythe manager of the Oklahoma Memorial Union location that mean service time is under 70seconds. You collect the service times found in Below. What conclusion do you drawusing Excel to find the p-value assuming that you want to be 90% confident in the result?DATA:Service Times456252729188646569597063807059875969686956597460795617761607866614763635777675555563965608041727754816370737661756259646170658361566472908663636365806962755981799463645561666572617648921356773661438271517071456489666665606459938447486574576279626873545578696961186556876706961556182836659696193768165675169777863776161668753677868808977636795546463287375656762658878757172605367818571497049586310562726679

4. The given data shows the service times.

Answered: 4. You are a quality control manager at…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

4. You are a quality control manager at The Laughing Tomato (HAHAHAHA). You’ve been told by
the manager of the Oklahoma Memorial Union location that mean service time is under 70
seconds. You collect the service times found in Below. What conclusion do you draw
using Excel to find the p-value assuming that you want to be 90% confident in the result?

DATA:

Service Times
45
62
52
72
91
88
64
65
69
59
70
63
80
70
59
87
59
69
68
69
56
59
74
60
79
56
177
61
60
78
66
61
47
63
63
57
77
67
55
55
56
39
65
60
80
41
72
77
54
81
63
70
73
76
61
75
62
59
64
61
70
65
83
61
56
64
72
90
86
63
63
63
65
80
69
62
75
59
81
79
94
63
64
55
61
66
65
72
61
76
48
92
135
67
73
66
143
82
71
51
70
71
45
64
89
66
66
65
60
64
59
93
84
47
48
65
74
57
62
79
62
68
73
54
55
78
69
69
61
186
55
68
76
70
69
61
55
61
82
83
66
59
69
61
93
76
81
65
67
51
69
77
78
63
77
61
61
66
87
53
67
78
68
80
89
77
63
67
95
54
64
63
28
73
75
65
67
62
65
88
78
75
71
72
60
53
67
81
85
71
49
70
49
58
63
105
62
72
66
79

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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