(a) What is the mean (in minutes)? minutes Enter a number. (b) What is the standard deviation (in minutes)? S = N (c) Determine the z value corresponding to a 5-minute-assembly time. 5- || X S 99 X minutes

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(a) What is the mean (in minutes)?
minutes
x = |
‒‒‒‒‒
Enter a number.
(b) What is the standard deviation (in minutes)?
S =
Z =
X X
99
(c) Determine the z value corresponding to a 5-minute-assembly time.
5
S
=
=
minutes
=
=
(d) Referring to this table, determine the A value.
A =
(e) Determine the probability that it will take a person longer than 5 minutes to assemble the computer parts.
0.5 +
Transcribed Image Text:(a) What is the mean (in minutes)? minutes x = | ‒‒‒‒‒ Enter a number. (b) What is the standard deviation (in minutes)? S = Z = X X 99 (c) Determine the z value corresponding to a 5-minute-assembly time. 5 S = = minutes = = (d) Referring to this table, determine the A value. A = (e) Determine the probability that it will take a person longer than 5 minutes to assemble the computer parts. 0.5 +
In order to improve the production time, the supervisor of assembly lines for a computer manufacturer has studied the time that it takes to
assemble certain parts of a computer at various stations. She measures the time that it takes to assemble a specific part by 100 people at
different shifts and on different days. The record of her study is organized and shown in the table below.
Based on data provided, we have calculated the probabilities correspond- ing to the time intervals that people took to assemble the parts.
The probability distribution for this example is shown in the table below and the following figure.
Data Pertaining to this example
Probability
0.18
0.16
0.14
0.12
0.10
0.08
0.06
0.04
0.02
0.00
5 6 7 8 9 10 11 12 13 14
Time (minutes)
Data Pertaining to this example
Time That It Takes a Person to
Assemble the Part (minutes)
5
Plot of probability distribution for this example.
6
7
8
9
10
11
12
13
14
Frequency
5
8
11
15
17
14
13
8
6
3
Σ = 100
Probability
(p)
0.05
0.08
0.11
0.15
0.17
0.14
0.13
Again, note that the sum of probabilities is equal to 1. Also note that if we were to connect the midpoints of time results (as shown in the
figure below), we would have a curve that approximates a bell shape. As the number of data points increases and the intervals decrease,
the probability-distribution curve becomes smoother. A probability distribution that has a bell-shaped curve is called a normal distribution.
The probability distribution for many engineering experiments is approximated by a normal distribution.
0.08
0.06
0.03
Σp=1
Transcribed Image Text:In order to improve the production time, the supervisor of assembly lines for a computer manufacturer has studied the time that it takes to assemble certain parts of a computer at various stations. She measures the time that it takes to assemble a specific part by 100 people at different shifts and on different days. The record of her study is organized and shown in the table below. Based on data provided, we have calculated the probabilities correspond- ing to the time intervals that people took to assemble the parts. The probability distribution for this example is shown in the table below and the following figure. Data Pertaining to this example Probability 0.18 0.16 0.14 0.12 0.10 0.08 0.06 0.04 0.02 0.00 5 6 7 8 9 10 11 12 13 14 Time (minutes) Data Pertaining to this example Time That It Takes a Person to Assemble the Part (minutes) 5 Plot of probability distribution for this example. 6 7 8 9 10 11 12 13 14 Frequency 5 8 11 15 17 14 13 8 6 3 Σ = 100 Probability (p) 0.05 0.08 0.11 0.15 0.17 0.14 0.13 Again, note that the sum of probabilities is equal to 1. Also note that if we were to connect the midpoints of time results (as shown in the figure below), we would have a curve that approximates a bell shape. As the number of data points increases and the intervals decrease, the probability-distribution curve becomes smoother. A probability distribution that has a bell-shaped curve is called a normal distribution. The probability distribution for many engineering experiments is approximated by a normal distribution. 0.08 0.06 0.03 Σp=1
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Thank you for bringing this to my attention and thank you for explaining the concepts as well as you are for me. 

(d) Referring to this table, determine the A value.
A =
(e) Determine the probability that it will take a person longer than 5 minutes to assemble the computer parts.
0.5 +
Transcribed Image Text:(d) Referring to this table, determine the A value. A = (e) Determine the probability that it will take a person longer than 5 minutes to assemble the computer parts. 0.5 +
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