# Project #35990 - Statistics - F Distribution Questions

1. The number of violent crimes reported to police on random selected days for 3 different cities is shown in the following table. Formulate the null and alternative hypothesis and calculate the F-test statistic. Use a significance level of α = 0.05 to reach a conclusion. [9 points]
 City New Amsterdam Old Brussels Future Toronto 5 2 8 9 4 12 12 1 10 3 13 3 9 7 9 7 6 14 13

1. The following ANOVA table is provided. [4 points]
 Source of variation Degrees of freedom Sum of squares Between 4 200 Within 45 3547

Calculate the following values assuming that all groups have the same sample size:

1. MSB and MSW
2. Number of groups and number of samples in each group
3. F-test statistic
4. Fcrit for α = 0.05. What is the conclusion?

1. Four catalysts that may affect the concentration of one component in a three-component liquid mixture are being investigated. The following concentrations are obtained. [12 points]
 Catalyst 1 2 3 4 58.2 56.3 50.1 52.9 57.2 54.5 54.2 49.9 58.4 57.0 55.4 50.0 55.8 55.3 51.7 54.9

Determine if the 4 catalysts yield the same concentration of the component. If they do not, then use a post-hoc multiple comparison of your choice to determine which pairs of catalysts are different. Use a significance level of α = 0.05 for all your calculations.

 Subject Mathematics Due By (Pacific Time) 07/23/2014 10:00 pm
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