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Normal Distributions and Inverse Normal Distributions
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
-1.33
1.33
0.88
1.02
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?
0.6915
0.1762
0.8238
-0.93
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have more than 7 accidents?
0.3446
0.2856
0.4
0.6554
4.
DRAG AND DROP QUESTION
1 min • 10 pts
The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.
Creating a normal distribution curve shows that the amount of workers who earn less than $750 per month is (a)
800 workers
125 workers
81.5% of workers
97.5% of workers
5.
DRAG AND DROP QUESTION
1 min • 10 pts
The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.
Creating a normal distribution curve shows that the amount of workers who earn more than $1500 per month is (a)
800 workers
125 workers
81.5% of workers
97.5% of workers
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What type of distribution is pictured?
Right skewed
Left skewed
Random
Normal
7.
DROPDOWN QUESTION
1 min • 1 pt
The green normal distribution curve has a standard deviation of 20. Does the purple normal distribution curve have a standard deviation that is larger or smaller than 20? (a)
larger
smaller
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