a. A company considers itself to have quality processes in line with 60 principles Measurement of inspection time, from a large sample of a specific engine part, gave the following distribution: Time (sec) Number 50-79 1 80-109 110- 139 5 140- 169 10 170- 199 4 200- 229 1 You have been asked to determine the mean inspection time and the standard deviation (in seconds). You should also present a graphical illustration of the distribution using appropriate computer software. From the data gathered and processed you have been asked to determine: The maximum and minimum limits that inspection time might take (assuming the distribution to be normal and 60 compliant (all times within mean ±30)
a. A company considers itself to have quality processes in line with 60 principles Measurement of inspection time, from a large sample of a specific engine part, gave the following distribution: Time (sec) Number 50-79 1 80-109 110- 139 5 140- 169 10 170- 199 4 200- 229 1 You have been asked to determine the mean inspection time and the standard deviation (in seconds). You should also present a graphical illustration of the distribution using appropriate computer software. From the data gathered and processed you have been asked to determine: The maximum and minimum limits that inspection time might take (assuming the distribution to be normal and 60 compliant (all times within mean ±30)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Question
Transcribed Image Text:a. A company considers itself to have quality processes in line with 60 principles
Measurement of inspection time, from a large sample of a specific engine part, gave the following
distribution:
Time (sec)
Number
11
MIL
50-79
1
Time (sec)
Number
120
THI
80-109
5
You have been asked to determine the mean inspection time and the standard deviation (in
seconds). You should also present a graphical illustration of the distribution using appropriate
computer software.
129
From the data gathered and processed you have been asked to determine:
The maximum and minimum limits that inspection time might take (assuming the distribution
to be normal and 60 compliant (all times within mean £30)
the probability that a randomly chosen inspection time will be greater than 180 seconds
the probability that a randomly chosen inspection time will be shorter than 60 seconds
3
110-
139
b. One of the machines is causing quality problems as 4% of the engine parts produced on this
machine have been found to be defective. Find the probability of finding 0. 2, 3, and 4
defective parts in a sample of 50 parts (assuming a binomial distribution). You should also
present a graphical illustration of the probabilities using appropriate computer software.
c. The mean inspection time, using the current method of quality control, has been found over
a long period of time to be 160 seconds. Your manager decides to introduce a new method
of quality control aimed at reducing this to as short as possible and so she expects the new
method to produce a smaller mean. A random sample of measurement of inspection time
taken after the new method had become established gave the following distribution:
290 words C English (orited Kingdom
135
140-
169
10
2
144
3
170-
199
4
157
4
200-
229
1
Accessibility Investigate
173
3
179
3
191
Your manager thinks that the introduction of the new method of inspection has been very
effective in reducing the inspection time. Using the data provided and assuming the
inspection time to be normally distributed with a standard deviation of 28 seconds, test this
hypothesis at 5% level of significance.
4
d. Your manager has asked you to do an analysis on statistical data and to refresh your
concepts, he has given you data on weights and heights of individuals. You have to
summarise the findings using Matlab or any other appropriate software, in a way that can be
understood by non-technical colleagues.
For data see accompanying document.
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