(b) The standard error of the sample mean is s²/n. (c) A researcher wants to test Ho: x= 30 versus the one- sided alternative Ha: x < 30. (d) The 95% margin of error for the mean u of a Normal population with unknown o is the same for all SRS of size n.

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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.
(a) As the degrees of freedom k decrease, the t
distribution density curve gets closer to the N(0,1) curve.
(b) The standard error of the sample mean is s²/n.
(c) A researcher wants to test Ho: x= 30 versus the one-
sided alternative Ha: x < 30.
(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.
Transcribed Image Text: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. (a) As the degrees of freedom k decrease, the t distribution density curve gets closer to the N(0,1) curve. (b) The standard error of the sample mean is s²/n. (c) A researcher wants to test Ho: x= 30 versus the one- sided alternative Ha: x < 30. (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.
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