1. sample data are used as the basis from which to make a possibility statement

Question

1. sample data are used as the basis from which to make a possibility statement about the true (but unknown) value of the population mean or proportion. True or false?

2. the sampling distribution of the mean will be approximately normal regardless of the distribution of the original population sample. True or false?

3. the normal distribution approximates the sampling distribution of the proportion as long as the sample size (n) multiplied by the proportion (pi) is greater than 5 and sample size (n) times the complement of pi. True or false?

Explanation / Answer

1. Here the statement is true as the sample data is used as the basis to make an statement about the population mean or proportion.

2. Statement is false, as the sampling distribution will be approximately normal when sample size is large.

3. Yes, the statement is true here as this statement is the assumption when we approximate the binomial distribution with normal distribution.

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