Question: Decide whether each of the following statements is true or false. If it is false, explain why. You may cite a reference in the text if you like.

1. The sample mean will vary from one sample to another; its standard error can be estimated from a single sample.
2. A Type I error cannot be made if the null hypothesis is accepted.
3. In a hypothesis test, the sampling distribution of the test statistic is based on the assumption that the null hypothesis is false.
4. If the null hypothesis is rejected in a test, this proves that the null hypothesis is false.
5. If a calculated significance probability is less than 0.05, we should always reject the null hypothesis.
6. Perfect correlation means that one variable causes the other.

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