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Answer:
Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Step-by-step explanation:
Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:
Phil: 4 - 1/4 = 3/4 = 0.75
Darren: 7 - 3/7 = 4/7 = 0.57
Alice: 8 - 1/8 = 7/8 = 0.875
Smooth: 5 - 1/5 = 4/5 = 0.8
Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
The confidence interval is
We first find the z-score for this confidence interval:
Convert 90% to a decimal: 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95
Using a z-table (http://www.z-table.com) we see that the z-score for this value is directly between 1.64 and 1.65, so we will use 1.645.
The confidence interval is given by:
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➷ List all the factors and then find the highest common factor
In this case, it is 12
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