1. The Central Limit Theorem says A. When n>30, the original population will be
ID: 2925194 • Letter: 1
Question
1. The Central Limit Theorem says
A. When n>30, the original population will be approximately a normal distribution.
B. When n<30, the original population will be approximately a normal distribution.
C. When n>30, the sampling distribution of x will be approximately a normal distribution.
D. When n<30, the sampling distribution of x will be approximately a normal distribution.
E. None of the above
2. Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
A. The larger the sample size, the more closely the possible values of x¯ cluster around the mean of x¯
B. If the sample size is larger, the possible values of x¯ are farther from the mean of x¯
C. The above statement is incorrect, the sample size has no effect on the sampling error.
3. Which of the following normal distributions has the widest spread?
A. A normal distribution with mean 2 and standard deviation 1
B. A normal distribution with mean 1 and standard deviation 3
C. A normal distribution with mean 3 and standard deviation 2
D. A normal distribution with mean 0 and standard deviation 2
E. None of the above
Explanation / Answer
1. C. When n>30, the sampling distribution of x will be approximately a normal distribution. is the correct answer
2. C. The above statement is incorrect, the sample size has no effect on the sampling error. it arises because of incorrect sampling which involves unrepresentativeness of the sample taken.
3. B. A normal distribution with mean 1 and standard deviation 3 because the standard deviation is highest in this case
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