TRUE OR FALSE

1.

A feature of the t-statistic (when used for hypothesis testing) is that it standardizes the difference between the sample mean and the value claimed under the null hypothesis.

2.

The central limit theorem only applies to sample means computed for normally distributed populations.

4.

If the standard deviation of a random variable X is 8, then the standard deviation of the random variable Y, where Y=3X, is 24

5

The sample standard deviation decreases as the size of the sample increases.