A) Which of the following is implied by the Central Limit Theorem? As the number
ID: 3332328 • Letter: A
Question
A) Which of the following is implied by the Central Limit Theorem?
As the number of observations in the sample increases, the distribution of the mean of all populations of the same size will get closer to a normal distribution.
As the number of observations in the sample increases, the distribution of the mean of all samples of the same size will get closer to a normal distribution.
As the number of sample increases, the distribution of the mean of all populations of the same size will get closer to a normal distribution.
As the number of sample increases, the distribution of the mean of all samples of the same size will get closer to a normal distribution
B) Which of the following is the main reason for studying the sampling distribution?
To learn how close the population parameter is to the sample statistics when used in estimating the unknown sample statistics.
To learn how close the sample statistics is to the population parameter when used in estimating the unknown population parameter.
To learn how close the sample distribution is to the unknown population distribution.
To learn how close the population distribution is to the unknown sample distribution.
C) What is the standard error of the mean?
The standard deviation of one sample mean.
The standard deviation of the sampling distribution of all the sample mean.
The standard deviation of the standard normal distribution
The standard deviation of the sample.
D) The stock market in Mexico reported strong returns in 2012. The population of stocks earned a mean return of 17.87% in 2012. Assume that the returns for stocks on the Mexican stock market were distributed as a normal random variable, with a mean of 17.87 and a standard deviation of 20. If you selected a random sample of 16 stocks from this population, which of the following is the sampling distribution of all the possible sample means?
The distribution of the mean return of all samples of 16 stocks randomly drawn.
The distribution of the returns of a single random sample of 16 stocks.
The distribution of the mean return of all the stocks purchased.
The distribution of the returns of a single random sample of all stocks purchased.
1.As the number of observations in the sample increases, the distribution of the mean of all populations of the same size will get closer to a normal distribution.
2.As the number of observations in the sample increases, the distribution of the mean of all samples of the same size will get closer to a normal distribution.
3.As the number of sample increases, the distribution of the mean of all populations of the same size will get closer to a normal distribution.
4.As the number of sample increases, the distribution of the mean of all samples of the same size will get closer to a normal distribution
Explanation / Answer
A) Option-4
B) Option-2
C) Option-2
D) Option-1
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