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Part I: Questions 1-7

End-of-chapter problems:

Answer the following questions.

If applicable, remember to show work in your homework document for partial credit

1) What are the 6 steps of hypothesis testing?

2) Using the z table in Appendix B, calculate the following percentages for a z score of -0.45

3) Rewrite each of the following percentages as probabilities, or p levels:

4) If the critical values, or cutoffs, for a two-tailed z test are -2.05 and +2.05, determine whether you would reject or fail to reject the null hypothesis in each of the following cases:

5) Imagine a class of twenty-five 12-year-old girls with an average height of 62 inches. We know that the population mean and standard deviation for this age group of girls is m=59 inches, s = 1.5 inches. (Note that this is a z statistic problem.)

6) For the following scenarios, identify whether the researcher has expressed a directional or a nondirectional hypothesis:

7) For the following scenario, state the null and research hypotheses in both words and symbolic notation. Symbolic notation must include the symbols “m1” and “m2” and a comparison operator (=, , <, >, , ), as described in Nolan and Heinzen (2014). Remember to consider whether the hypothesis is nondirectional or directional.

Part I: Questions 8a-8g

Fill in the highlighted blanks with the best word or words

8-a)

Values of a test statistic beyond which you reject the null hypothesis are called

8-b)

The is the area in the tails in which the null can be rejected.

8-c)

The probability used to determine the critical values, or cutoffs, in hypothesis testing is known as a level, also known as alpha.

8-d)

If your data differ from what you would expect if chance were the only thing operating, you would call your finding._____.

8-e)

A hypothesis test in which the research hypothesis is directional is a(n) test.

8-f)

A hypothesis test in which the research hypothesis specifies that there will be a difference but does not specify the direction of that difference is a(n) test.

8-g)

If your z-statistic exceeds the critical cutoff, you can the null hypothesis.

10a)

What is the z score for an officer who is 72 inches tall? Based on the z score and the z table, what is the officer’s percentile? (Hint: See slide 7 of this week’s related presentation)

10b)

What is the height (in inches) that marks the 80thpercentile for this group of officers? (Hint: See slides 14-16 of this week’s related presentation)

10c)

What percent of officers are between 68 and 72 inches tall? (Hint: See slide 12 of this week’s related presentation)

11a)

What is the z score for a GRE score of 583?

What is the percentile rank of this z score? (Hint: See slide 7 of this week’s related presentation)

11b)

What GRE score corresponds to a percentile rank of 25%? (Hint: See slide 17 of this week’s related presentation)

11c)

If you wanted to select only students at or above the 82nd percentile, what GRE score would you use as a cutoff score (i.e. what GRE score corresponds to this percentile)? (Hint: See slides 14-16 of this week’s related presentation)

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