
Normal and Skewed Distribution
Authored by Anthony Clark
Mathematics
12th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
26-32
3-29
26-29
39-32
2.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Use the following information and the Empirical Rule to estimate the answer.
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
Find the percentage of golfers that are between 30 and 46 years old.
68%
94%
95%
99.7%
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the mean of the sampling distribution?
200
16
25
4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
50
25
20
5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The average speed of 1500 vehicles traveling on a stretch of highway one particular day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?
63.5
67
70.5
74
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Approximately normal with = 5.5 days and = 2.6 days
Answer explanation
The Central Limit Theorem kicks in here since the sample size is greater than 30. The sampling distribution would be skewed right for samples less than 30
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the shape, mean and standard deviation of the distribution of sample means from samples of size n = 81.
Normal, = 4000, = 1.543
Normal, = 4000, = 13.89
Normal, = 444, = 13.89
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