True/ False Questions: 1. The sampling distribution of x must be a normal distri

Question

True/ False Questions:

1. The sampling distribution of x must be a normal distribution.
2. The reason sample variance has a divisor of n-1 rather than n is that it makes the standard deviation an unbiased estimate of the population variance.
3. The standard deviation of the sampling distribution of the sample mean increases as the sample size decreases.
4. If the sampled population is a normal distribution, then the sampling distribution of x is also expected to be normal even for a small sample size.
6. The mean of the sampling distribution of x is always equal to the mean of the sampled population.
7. When the level of confidence and the sample size remain the same, a confidence interval for a population mean µ will be wider, when the sample standard deviation s is larger than when s is smaller.
8. The correlation coefficient is the square root of the ratio of explained variation to total variation.

Explanation / Answer

1) True

2) True

3) True

4) False

Even if the population is normally distributed, it cannot be said that the samle will be normally distributed, unless the sample size is large enough

6) True

7) True

8) True

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