7.14 What is wrong? In each of the following situations, identify what is wrong and then either explain why it is wrong or change the wording of the statement to make it true.

1. (a) As the degrees of freedom k decrease, the t distribution density curve gets closer to the curve.

2. (b) The standard error of the sample mean is .

3. (c) A researcher wants to test versus the one-sided alternative .

4. (d) The 95% margin of error for the mean μ of a Normal population with unknown σ is the same for all SRS of size n.