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Laporan Tutorial Teknik Sampling Blok Epidemiologi dan Biostatistika FKG UNEJ
SAMPLE PROBLEM 1. Given the data below, compute for the standard time : Information
Source of
Data Total time expended by operator Time cards (working time and idle time) Number of parts produced
Inspection
Data for one day 480 mins 420 pieces
Departmen Working time in percent
t Work
85%
Idle time in percent
sampling Work
15%
Average performance index
sampling Work
110%
Total allowances
sampling Company
15%
time-study manual
SOLUTION :
(workday)
(total time in mins)x(working time in %) x (performance index in percent) Standard time = ----------------------------------------------- x AF per piece
Total number of pieces produced (480 x 0.85 x 1.10)
100
= ------------------------- x ------------ = 1.26 mins 420
(100-15)
2. An analyst has been asked to prepare an estimate of the proportion of time that a lathe operator spends adjusting the machine with a 90% confidence level (z=1.65). Based on
previous
experience,
the
analyst
believes
the
proportion will be approximately 30%. What sample size would the analyst need in order to have the maximum error be no more than 5%? SOLUTION : n = [(z/e)2 p(1-p)] n = [(1.65/0.05)2 (0.30)(0.70)] n = [(1.65/0.05)2 (0.30)(0.70)] n = 228.69 or 229
3. The owner of a large gift shop wants to estimate the proportion of time shoppers spend in a certain part of the store. The shop is open nine hours a day, six days a week. Twelve observations will be taken over a 30-day period. Determine the random observation times using Table 8-6 and these instructions : a. For days, read the first two digits of column 2, going down, and then the first two digits of column 3, going down. b. For hours, read one-digit numbers in row 4 from left to right. c. For minutes, read numbers using the first two digits in column 1, going down, and then the second two digits in column 1, going down.
SOLUTION : a. Days
b. Hours
c. Minutes
Random
Random
Random
number
number
number
72
1
69
11
6
34
24
3
47
15
2
16
72
1
85
13
5
39
77
4
78
13
6
27
82
1
29
99
9
85
16
5
05
01
0
29
28
1
12
05
91
27
15
19
32
09
10
Combining these results, in the order they appeared, produces the following results : Day
Hour
Minute
11
1
34
24
6
47
15
3
16
13
2
39
13
1
27
16
5
29
01
4
05
28
6
29
05
1
12
27
9
15
19
5
32
09
1
10
Arranging the results chronologically by day, hour, and minute (but maintaining the same combinations) produces this list of observation times : Observations
