WorksheetsStats Ch 5_3
Total questions: 10
Worksheet time: 24mins
Name
Class
Date
1.
Find the z-score such that 30% of the standard normal curve lies to the left of z.
a)
-1.88
b)
0.52
c)
-0.52
d)
1.88
2.
Find the z-score such that 44% of the standard normal curve lies to the right of z.
a)
-0.15
b)
-1.71
c)
1.71
d)
0.15
3.
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%
4.
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%
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.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
a)
0.67 inch
b)
263 inches
c)
272.44 inches
d)
277.25 inches
6.
The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
a)
115
b)
130.75
c)
145
d)
120
7.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
8.
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
9.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?
a)
1084 to 1216 pounds
b)
1106 to 1150 pounds
c)
1106 to 1194 pounds
d)
1128 to 1172 pounds
10.
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
a)
82
b)
88
c)
100
d)
118
100 %
