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 7^th 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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orchestra answered 10 months ago

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