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Normal and Sampling Distribution

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

If the value we are looking for is smaller than the mean, the value of z is:

a)

Not enough information

b)

Negative

c)

Positive

d)

0

2.

If the value we are looking for is the same as the mean, the value of z is:

a)

Not enough information

b)

Positive

c)

Negative

d)

0

3.

Which statement is valid?

a)

None of the options

b)

Probability = -0.89

c)

Probability = 1.89

d)

Probability = 1

4.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
5.
Find the area under the normal distribution curve to the left of 
Z=0.27.
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
6.

What's the probability of the gray area?

(Mean = 55, Standard dev = 2.5)

a)

0.8185

b)

0.8413

c)

0.8641

d)

0.8389

7.

Which of the following symbol describes the population mean?

a)

μ\mu

b)

nn

c)

xˉ

d)

σσ

8.
The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. 
What is the mean of the sampling distribution?
a)
400
b)
40
c)
25
d)
8
9.

According to the Central Limit Theorem, For a sample to be large enough, the sample size should be ______.

a)

half of the population

b)

75% of the population size

c)

at least 30

d)

at most 100

10.

Consider a population with μ=50\mu=50  and σ=5\sigma=5 is taken. Find the standard deviation of the sampling distribution of the sample mean with a sample size of 30.

a)

5

b)

0.91

c)

0.71

d)

0

11.
What is the mean of these numbers?
4,5,5,2,3,3,2,8
a)
40
b)
24
c)
4
d)
256
12.
Find the mean:
28, 18, 19, 18, 17
a)
20
b)
18
c)
11
d)
19
13.

You want to know the favorite sport of middle school students. Which group would provide the best random sample?

a)

Every tenth person who enters the stadium before a football game.

b)

Every fifth person who leaves the school building at the end of the school day.

c)

the girls' soccer team

d)

the band students

14.

In a large survey of cat owners, 82,603 had one cat, 11,894 had two cats, 2,349 had three cats, and 421 had four cats. Approximate the mean number of cats owned by people in this survey.

a)

1.2

b)

1.0

c)

1.5

d)

1.8

15.

Terrance's homework grade was a 72, his project grade was an 80 and his exam grade was an 82. Homework is worth 10% of the final grade, the project was worth 50%, and the exam was worth 40%.


What was Terrance's final grade?

a)

80

b)

78

c)

82

d)

76