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Let X1, X2, ., Xn be a random sample from a distribution with mean u and variance o2. Consider the random variable, X.Which of the following properties are true? Select all that apply. On average, the sample mean is equal to the population mean. The variance of the sample mean is equal to the population variance divided by n. For any n, the distribution of the sample mean depends on the distribution of the population mean. For any n, the sample mean is exactly normally distributed. For n sufficiently large, the sample mean is exactly normally distributed. For any n, the sample mean is approximately normally distributed. For n sufficiently large, the sample mean is approximately normally distributed. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean. OOO0 000

Let X1, X2, ., Xn be a random sample from a distribution with mean u and variance o2. Consider the random variable, X.Which of the following properties are true? Select all that apply. On average, the sample mean is equal to the population mean. The variance of the sample mean is equal to the population variance divided by n. For any n, the distribution of the sample mean depends on the distribution of the population mean. For any n, the sample mean is exactly normally distributed. For n sufficiently large, the sample mean is exactly normally distributed. For any n, the sample mean is approximately normally distributed. For n sufficiently large, the sample mean is approximately normally distributed. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean. OOO0 000

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Let X1, X2, .., X,, be a random sample from a distribution with mean µ and variance o2. Consider the random variable, X.Which of the following •..., properties are true? Select all that apply. On average, the sample mean is equal to the population mean. The variance of the sample mean is equal to the population variance divided by n. For any n, the distribution of the sample mean depends on the distribution of the population mean. For any n, the sample mean is exactly normally distributed. For n sufficiently large, the sample mean is exactly normally distributed. For any n, the sample mean is approximately normally distributed. For n sufficiently large, the sample mean is approximately normally distributed. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean.
Transcribed Image Text:Let X1, X2, .., X,, be a random sample from a distribution with mean µ and variance o2. Consider the random variable, X.Which of the following •..., properties are true? Select all that apply. On average, the sample mean is equal to the population mean. The variance of the sample mean is equal to the population variance divided by n. For any n, the distribution of the sample mean depends on the distribution of the population mean. For any n, the sample mean is exactly normally distributed. For n sufficiently large, the sample mean is exactly normally distributed. For any n, the sample mean is approximately normally distributed. For n sufficiently large, the sample mean is approximately normally distributed. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean.
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