Q1/The life of a Cellurific phone battery is normally distributed with a mean of 1,100 days and standard deviation of 60 days. Determine the following:
a- What fraction of batteries is expected to survive beyond 1,200 days?
b- What fraction will survive fewer than 995 days?
c- Draw a chart of the reliability function using Excel.
d- What length of warranty is needed so that no more than 10 percent of the batteries will be expected to fail during the warranty period?
Q22/ The specification for the distance between nozzles on the burner of a high-efficiency furnace produced by Heetjet Enterprises is 15.00 ± 0.025 mm. The loss due to a defective burner unit is $40. A sample of 30 burners was drawn from the production process and the results, in millimeters, can be found below.
a- Compute the value of k in the Taguchi loss function.
b- What is the expected loss from this process based on the sample data?
Sample
Data
1
15.008
2
15.000
3
14.985
4
15.000
5
15.000
6
15.000
7
15.000
8
14.993
9
14.993
10
15.015
11
15.008
12
15.015
13
15.008
14
15.008
15
15.000
16
14.985
17
14.993
18
15.000
19
15.008
20
15.000
21
14.993
22
15.000
23
15.000
24
15.000
25
15.008
26
15.008
27
14.993
28
15.015
29
15.000
30
14.985