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Question: marks ben runs a sports program for high school students...

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marks) Ben runs a sports program for high school students. Each student that ooses one of the following three sports: volleyball, basketball and netball. The heights of the first 15 students, and the sports they chose, were Volleyball 183, 176, 170, 179 Basketball 165, 169, 171, 154, 165, 159 Netball 167, 160, 177, 173, 170 Ben runs an analysis of variance with these data. A partially complete ANOVA table from his analysis is given below. Source df SS MS F Treatment (sport) Error 38 Total 872.4 (a) Is there evidence of a relationship between the students heights and their choice of sport? (b) what is the sampling distribution of σ2? e) Let μί be the population rnean of students who choose volleyball, what is the sampling distribution of 1? (d) Let X be the height of the next student who chooses volleyball. Show that, x*-n-N(0,5の 2 (e) Calculate a 95% prediction interval for X*.
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