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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