cenario 5 At a large business, employees must report to work at 7:30 A.M. The arrival times of employees can be described by a Normal
cenario 5
At a large business, employees must report to work at 7:30 A.M. The arrival times of employees can be described by a Normal model with mean of 7:22 A.M. and a standard deviation of 4 minutes.
Answer questions 21 - 24 based on scenario 5:
Question 21 (1 point)
Based on scenario 5, what percent of employees are late on a typical work day?
Question 21 options:
a)
1.05%
b)
2.28%
c)
3.12%
d)
3.78%
Question 22 (1 point)
Based on scenario 5: A psychological study determined that the typical worker needs five minutes to adjust to their surroundings before beginning their duties. What percent of this business' employees arrive early enough to make this adjustment?
Question 22 options:
a)
70.3%
b)
74.5%
c)
77.3%
d)
79.1%
Question 23 (1 point)
Based on scenario 5: Since late employees are a distraction and cost companies money, all employees need to be on time to work. If the mean arrival time of employees does not change, what standard deviation would the arrival times need to ensure virtually all employees are on time to work?
Question 23 options:
a)
2.67 minutes
b)
3.14 minutes
c)
3.55 minutes
d)
4.02 minutes
Question 24 (1 point)
Based on scenario 5, what does achieving a smaller standard deviation means in the context of this problem?
Question 24 options:
a)
A smaller standard deviation means there are more people arriving early than people arriving late
b)
A smaller standard deviation means there are no employees arriving late
c)
A smaller standard deviation means there is more consistency in arrival times of employees
d)
A smaller standard deviation suggests the problem of more late employees than early ones
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