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ClassWorkweek6problem.xlsx
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#4 Ch.11

Pet Food Company has a business objective of expanding its product line beyond its current kidney and shrimp based cat foods. The company developed two new products, one based on chicken liver and the other based on Salmon. The company conducted an experiment to compare the two new products with its two existing ones, as well as generic beef-based products sold at a supermarket chain. For the experiment, a sample of 50 cats from the population at a local animal shelter was selected. Ten cats were randomly assigned to each of the rive products being tested. each of the cats was then presented with 3 ouncesif the selected foodin a dish feeding time. The researchers defined the variable to be within a 10 minute time interval that began when the filled dish was presented.
n=50 cats
10 cats were randomly assigned to each of the 5 products.
They were presented food at ac ertain feeding time and measured the amount of food in ounces in 10 minute intervals
Kidney Shrimp Chicken Liver Salmon Beef Anova: Single Factor
2.37 2.26 2.29 1.79 2.09 c= 5 groups
2.62 2.69 2.23 2.33 1.87 n=50 SUMMARY
2.31 2.25 2.41 1.96 1.67 Groups Count Sum Average Variance
2.47 2.45 2.68 2.05 1.64 Kidney 10 24.56 2.456 0.01476
2.59 2.34 2.25 2.26 2.16 Shrimp 10 24.09 2.409 0.0253433333
2.62 2.37 2.17 2.24 1.75 Chicken Liver 10 23.68 2.368 0.0262844444
2.34 2.22 2.37 1.96 1.18 Salmon 10 20.28 2.028 0.0544177778
2.47 2.56 2.26 1.58 1.92 Beef 10 17.54 1.754 0.0990266667
2.45 2.36 2.45 2.18 1.32
2.32 2.59 2.57 1.93 1.94
ANOVA
a. at the 0.05 level of significance, is there a difference in the mean amount of food eaten Source of Variation SS df MS F P-value F crit
among the various products Between Groups 3.65896 4 0.91474 20.8054122083 0.0000000009 2.5787391843
state your null hypothesis and it would be a good idea to list your variables Within Groups 1.97849 45 0.0439664444
Total 5.63745 49
b. If appropriate, which test would you use to determine which products appear to differ significantly in the mean amount of food eaten
Tukey- Kramer Comparison
Group Sample Mean Sample Size Comparison Absolute Differece Std. Error Critical Range Results
1 Group1 to Group2
2 G1 to G3
3 G1 to G4
4 G1 to G5
5 Group 2 to G3
Other Data G2 to G4
Level of Significance 0.05 G2 to G5
Numerator d.f Group 3 to G4
Denominator d.f. G3 to G5
Q statistic Group 4 to G5

#6 Ch.12

OBSERVED observed values
Number of Meals per week fo-fe
Class Standing 20 10 none total 0
freshman 24 32 14 70
sophmore 22 26 12 60
junior 10 14 6 30
senior 14 16 10 40
70 88 42 200
EXPECTED FREQUENCIES Expected values
Number of Meals per week
Class Standing 20 10 none total
freshman 0
sophmore 0
junior 0
senior 0
0 0 0 0
Data
level of significance 0.05
Number of Rows 4
Number of Columns 3
df 6
Critical value 12.5915872437
Chi-squared test statistic 0 0