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What is the standard error?

June 24, 2021
Christopher R. Teeple

Please answer the following three questions:
The following information presents the number of parolees (per 100,000 people) for 12 of the most populous states as of July 2015.
State, Parolees (per 100,000 People)
California, 292
Texas, 556
New York, 288
Florida, 28
Illinois, 299
Pennsylvania, 1,035
Ohio, 193
Georgia, 334
Michigan, 239
North Carolina, 130
New Jersey, 214
Virginia, 27
Source: National Institute of Corrections, Correction Statistics by State, 2016
Question 8
Assume that σ = 226.83 for the entire population of 50 states. Calculate and interpret the standard error. (Consider the formula for the standard error. Since we provided the population standard deviation, calculating the standard error requires only minor calculations.) What is the standard error?
1.
68.45
2.
62.35
3.
64.58
4.
65.48
When taking a random sample from a very large population, how does the standard error of the mean change when the sample size is increased from 100 to 1,600?
5.
Smaller by a factor of 2
6.
Larger by a factor of 2
7.
Smaller by a factor of 4
8.
Larger by a factor of 4
Question 4
If you select a disproportionate sample of size 20 from the classroom, with equal numbers of students from each class level in the sample, how many freshmen will be in the sample?
9.
5
10.
7
11.
9
12.
6

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