According to a recent survey, the population distribution of number of years of education for self-employed individuals in a certain region has a mean of 14.5 and a standard deviation of 2.8. a. Identify the random variable X whose distribution is described here. b. Find the mean and the standard deviation of the sampling distribution of x for a random sample of size 49. Interpret them. c. Repeat (b) for n = 196. Describe the effect of increasing n. a. Choose the correct description of the random variable. A. The number of years of education OB. The number of people surveyed OC. The ages of the individuals O D. The number of self-employed individuals b. The mean of the sampling distribution of size 49 is 14.5. (Type an integer or a decimal.) Choose the correct description of the mean of the sampling distribution. O A. The mean of all samples of size 49 OB. The maximum mean for all samples of size 49 &c. The expected value for the mean of a sample of size 49 O D. The minimum mean for all samples of size 49 The standard deviation is (Type an integer or a decimal.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to a recent survey, the population distribution of number of years of education for self-employed individuals in a certain region has a mean of 14.5 and a standard deviation of 2.8.
a. Identify the random variable X whose distribution is described here.
b. Find the mean and the standard deviation of the sampling distribution of x for a random sample of size 49. Interpret them.
c. Repeat (b) for n = 196. Describe the effect of increasing n.
a. Choose the correct description of the random variable.
A. The number of years of education
B. The number of people surveyed
C. The ages of the individuals
D. The number of self-employed individuals
b. The mean of the sampling distribution of size 49 is 14.5. (Type an integer or a decimal.)
Choose the correct description of the mean of the sampling distribution.
A. The mean of all samples of size 49
B. The maximum mean for all samples of size 49
C. The expected value for the mean of a sample of size 49
D. The minimum mean for all samples of size 49
The standard deviation is
(Type an integer or a decimal.)
Transcribed Image Text:According to a recent survey, the population distribution of number of years of education for self-employed individuals in a certain region has a mean of 14.5 and a standard deviation of 2.8. a. Identify the random variable X whose distribution is described here. b. Find the mean and the standard deviation of the sampling distribution of x for a random sample of size 49. Interpret them. c. Repeat (b) for n = 196. Describe the effect of increasing n. a. Choose the correct description of the random variable. A. The number of years of education B. The number of people surveyed C. The ages of the individuals D. The number of self-employed individuals b. The mean of the sampling distribution of size 49 is 14.5. (Type an integer or a decimal.) Choose the correct description of the mean of the sampling distribution. A. The mean of all samples of size 49 B. The maximum mean for all samples of size 49 C. The expected value for the mean of a sample of size 49 D. The minimum mean for all samples of size 49 The standard deviation is (Type an integer or a decimal.)
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