Maintenance task times (in minutes) were observed as follows: Task Time Frequenc
ID: 1832966 • Letter: M
Question
Maintenance task times (in minutes) were observed as follows:
Task Time
Frequency
35
2
17
6
12
2
15
4
37
1
27
10
33
3
31
6
25
12
19
10
21
12
23
13
29
8
13
3
9
1
Calculate the following quantities:
a) Compute the range of the observations.
b) Assume 7 classes, with a class interval width of 4, and plot the data. Note that the resulting curve is essentially an experimental observation of the underlying probability distribution. What type of distribution does it appear to be?
c) Compute the mean repair time.
d) Compute the standard deviation of the data.
e) Assuming a normal distribution, the requirement is for a mean repair time of at most 25 minutes, with a confidence level of 95%. Is this requirement met (explain)?
Task Time
Frequency
35
2
17
6
12
2
15
4
37
1
27
10
33
3
31
6
25
12
19
10
21
12
23
13
29
8
13
3
9
1
Explanation / Answer
a)The range is just the max value minus the min value,37-9. b) The mean repair time: multiple the left column by the right column to form a third column. Sum up the values in the third column and write the total below. Next, sum up the values in the second column. Divide the third column's sum by the second column's sum. c)...
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