d) Construct a box plot for the data. Do you detect any outliers? e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to
produce a single unit of output. At a large processing plant, the number of total worker-hours required per
day to perform a certain task was recorded for 50 days. The data are shown here:
128
119
95
97
124
128
142
98
108
120
113
109
124
132
97
138
133
136
120
112
146
128
103
135
114
109
100
111
131
113
124
131
133
131
88
118
116
98
112
138
100
112
111
150
117
122
97
116
92
122
a) Compute the mean, median, and mode of the data set.
b) Find the range, variance, and standard deviation of the data set.
yfo,ỹ±2o, and ỹ ± 30.
c) Construct the interval
within each interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do
you detect any outliers?
Count the number of observations that fall
d) Construct a box plot for the data. Do you detect any outliers?
e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d4fd4d4-77c7-4e93-950b-25099f54e660%2Fdd9d13b2-e91a-4f68-b549-d215cef769fc%2Fogncjxg_processed.jpeg&w=3840&q=75)
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