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WorksheetsNormal Distributions Part 2 (after inv)
Total questions: 8
Worksheet time: 26mins
Name
Class
Date
1.
Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches. A woman is in the 98th percentile. How tall is the woman?
a)
58.5 in
b)
66.8 in
c)
61.5 in
d)
68.7in
2.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
3.
The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of calories is approximately normal with a σ of 10. Find the probability that a randomly selected chocolate bar will have between 200 and 220 calories.
a)
0.9876
b)
0.3023
c)
0.0098
d)
0.3320
4.
In a weightlifting competition, the amount that the competitors can lift is normally distributed with μ = 196 kg and σ = 11 kg. Only the top 10% of all competitors will be able to advance to the next phase of the competition. What amount must a competitor lift in order to move into the next phase of the competition?
a)
206 kg
b)
210 kg
c)
182 kg
d)
222 kg
5.
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
If a male long jumper from State College jumps 265 inches, what percentile does he fall in?
If a male long jumper from State College jumps 265 inches, what percentile does he fall in?
a)
56th
b)
57th
c)
67th
d)
79th
6.
The percentile represents the....
a)
percent of data values that are below.
b)
percent of data values that are above.
c)
number of data values that are below.
d)
number of data values that are below.
7.
Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?
a)
46.81%
b)
8%
c)
78.81%
d)
21.19%
8.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?
a)
81.85%
b)
47.5%
c)
68%
d)
95%
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