Question

In: Statistics and Probability

Xander, summer statistics intern in the Superintendent’s Office for the Palisades Point School District, wonders if...

Xander, summer statistics intern in the Superintendent’s Office for the Palisades Point School District, wonders if the homerun teacher referrals in the 7th grade for two week periods are comparable. He tests this claim very preliminarily at the 1% significance level as a pilot study, and presumes that the distribution of referrals among these teachers is reasonably normal. He collects independent, simple random samples. The following data tables represent the numbers of referrals made by these seventh grade teachers:

Alcott

10

15

23

20

18

16

20

20

16

18

Buck

12

13

24

16

12

10

19

16

18

Dickinson

20

24

22

21

20

24

18

Lee

22

25

20

21

25

13

27

25

Oates

25

18

26

23

32

16

20

23

24

Walker

16

18

20

12

16

18

20

12

14

17

What hypotheses should he test? Were the results statistically significant? What conclusion should he draw, qualifying the result as extreme or marginal if appropriate? Explain his anticipated findings in detail, both technically and contextually. Be sure to identify the necessary critical and p-values as part of the analysis.

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