If the population distribution is normal, then the sampling distribution of the sample mean(With sample size n) is normal. True or false.

1. If the population distribution is normal, then the sampling distribution of the sample mean(With sample size n) is normal. True or false.

2. A sampling distribution of a statistic is the distribution of values taken by the statistic in all possible samples of different sizes from the same population. True or false

3. For the same population a sampling distribution with greater size has greater standard distribution. True or false

4.The sampling distribution for a population depends on a fixed sample size . True or false

5.For sampling distributions of sample means for (normally distributed) population, a greater sample size leads to less concentration of the sample means around the population mean. True or false

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