Question

In: Statistics and Probability

This requires you to conduct a one-way analysis of variance. Data are given to you on...

This requires you to conduct a one-way analysis of variance.

Data are given to you on the “days on market” for a random sample of homes for sale by realtors using 5 different training programs that the realtors experienced. The 5 programs can be described as: computer-based course, campus training (on-site in a classroom), apprentice (work side-by-side with a mentor), field (solo field training), and self (a self-paced training course with books and coursework at home).

  1. Present the null and alternative hypothesis for an experiment to determine if there are significant differences in the “days on market” for the realtors experiencing the different training programs.

  1. Present the excel output for the one-way analysis of variance and state your decision (whether you reject or fail to reject the null) and conclusion (whether you have sufficient evidence for, or insufficient evidence for,….the alternative). Be sure to clearly state your Fcomputed (a.k.a. F-value) and P-value.
computer campus apprentice field self
41 27 21 65 81
42 20 23 45 79
44 30 21 64 98
41 26 25 67 84
35 27 19 58 86
41 31 25 50 50
38 31 24 75 64
36 43 21 52 66
35 32 24 55 91
40 26 31 59 76
45 32 21 77 70
42 31 30 59 71
40 34 30 68 63
38 33 22 61 84
41 34 20 21 63
25 35 23 69 57
39 32 23 60 75

Solutions

Expert Solution

A)Null Hypothesis , H0: There is no significant difference in the days on market for Realtors experiencing the 5 different programs (ie)

Alternative Hypothesis,Ha:There is significant difference in the days on market for Realtors experiencing the 5 different programs (ie)

B)

F value = 95.0069

p value = 1.394E-29

Since p value is less than .05 , we reject the null hypothesis and conclude that there is significant difference in the days on market for Realtors experiencing the 5 different programs


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