WorksheetsSampling Distributions
Total questions: 12
Worksheet time: 7mins
Name
Class
Date
1.
These symbols represent the mean and standard deviation for which of the following distributions?
a)
The Population
b)
The Sample
c)
The Sampling Distribution
2.
These symbols represent the mean and standard deviation for which of the following distributions?
a)
The Population
b)
The Sample
c)
The Sampling Distribution
3.
These symbols represent the mean and standard deviation for which of the following distributions?
a)
The Population
b)
The Sample
c)
The Sampling Distribution
4.
What happens to the shape of a sampling distribution of sample means as n increases?
a)
It becomes narrower and bimodal.
b)
It becomes narrower and more normal.
c)
It becomes wider and skewed right.
d)
It becomes wider and more normal.
5.
A distribution showing the sample means of all sample of size n of a population is called
a)
Normal Distribution
b)
Binomial Distribution
c)
Sampling Distribution
d)
Uniform Distribution
6.
The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true.
What is the mean of the sampling distribution of p-hat?
What is the mean of the sampling distribution of p-hat?
a)
0.4
b)
0.44
c)
0.56
d)
0.6
7.
28% of all Suncoast students believe in Santa. You take a sample of 50 students and find that 15 of them believe in Santa. What does 15/50 represent?
a)
n
b)
P
c)
phat
d)
standard deviation
8.
The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the mean of the sampling distribution?
What is the mean of the sampling distribution?
a)
200
b)
16
c)
25
d)
4
9.
The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the standard deviation of the sampling distribution?
What is the standard deviation of the sampling distribution?
a)
200
b)
16
c)
25
d)
4
10.
At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?
a)
78% is a population and 72% is a sample.
b)
72% is a population and 78% is a sample
c)
78% is a parameter and 72% is a statistic
d)
72% is a parameter and 78% is a statistic
11.
Calculate μx-bar and σx-bar if μ = 794, σ = 48, and n = 64
a)
μx-bar = 794, σx-bar = 0.75
b)
μx-bar = 12.4, σx-bar = 0.75
c)
μx-bar =794, σx-bar = 6
d)
μx-bar = 99.25, σx-bar = 6
12.
The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49
a)
μx-bar = 2.51, σx-bar = 0.06
b)
μx-bar = 0.358, σx-bar = 0.06
c)
μx-bar = 2.51, σx-bar = 0.06
d)
μx-bar = 2.51, σx-bar = 0.857
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