#1: The College Learning Skills Center at the Community College of the Pine Barr
ID: 3251002 • Letter: #
Question
#1: The College Learning Skills Center at the Community College of the Pine Barrens has three paraprofessional statistics teachers: Abigail, Bartholomew, and Cora. These teachers offer help during the evening. The Center’s Director, Bernie McNaughton, wonders if the three teachers are serving comparable numbers of students each night. He randomly sampled the records for Wednesdays nights; the data about numbers of students served by each is as follows:
Determine whether or not the aforementioned there is a significant difference in the mean numbers of statistics students each teachers assists per evening, testing the claim at the 4% level of significance. [COMMENTS & HINTS: Apply one-way ANOVA techniques. Using the notion of complementary probabilities, what is the corresponding significance level? Identify the hypotheses, presumably in verbal form; also state the technical and contextual conclusions.]
Abigail Bartholomew Cora 1 12 4 6 8 7 6 10 6 8 8 8 9 10 5 6 6 9Explanation / Answer
null hypothesis: all three tachers serve equal number of students
alternate hypothesis: at least two teacher have differnent number of students getting served
level of significance =0.04
as p value is less then 0.04 we reject null hypothesis
and conclude that at least two teacher have differnent number of students getting served
Groups Count Sum Average Variance Abigail 5 30 6 9.5 Bartholomew 7 63 9 3.666667 Cora 6 36 6 2 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 38.5 2 19.25 4.125 0.037369 4.020021 Within Groups 70 15 4.666667 Total 108.5 17Related Questions
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