Question
The Best Pet Food company has a business objective of expanding its product line beyond its current Kidney and Beef cat food. The company developed
The Best Pet Food company has a business objective of expanding its product line beyond its current Kidney and Beef cat food. 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 a generic Shrimp-based product sold in a supermarket chain. For the experiment, a sample of 55 cats was selected at the Toronto Cat Rescue Volunteer Centre. A random selection of eleven cats were assigned to each of the five products being tested. Each of the cats was then presented with 5 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute interval that began when the filled dish was presented. The results of this experiment are given below.
Kidney | Beef | Chicken Liver | Salmon | Shrimp |
---|---|---|---|---|
4.02 | 4.78 | 4.07 | 4.81 | 4.10 |
4.90 | 4.91 | 4.95 | 4.10 | 4.46 |
4.12 | 4.82 | 4.45 | 4.96 | 4.19 |
4.88 | 4.63 | 4.32 | 4.49 | 4.44 |
4.07 | 4.97 | 5.00 | 4.76 | 4.19 |
4.81 | 4.42 | 4.60 | 4.52 | 4.47 |
4.42 | 4.79 | 4.33 | 4.88 | 4.00 |
4.22 | 4.43 | 4.43 | 4.35 | 4.68 |
4.08 | 4.97 | 4.88 | 4.14 | 4.86 |
4.00 | 4.97 | 5.00 | 4.49 | 4.64 |
4.84 | 4.52 | 4.50 | 4.68 | 4.70 |
The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor
SUMMARY | ||||
Groups | Count | Sum | Average | Variance |
Kidney | 11 | 48.36 | 4.396 | 0.146885 |
Beef | 11 | 52.21 | 4.746 | 0.045665 |
Chicken Liver | 11 | 50.53 | 4.594 | 0.101405 |
Salmon | 11 | 50.18 | 4.562 | 0.082276 |
Shrimp | 11 | 48.73 | 4.430 | 0.077600 |
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 0.86363 | 4 | 0.215906 | 2.37870 | 0.064168 | 2.557179 |
Within Groups | 4.53833 | 50 | 0.090767 | |||
Total | 5.40195 | 54 |
Based on the Excel output, does there appear to be a difference between the means of the five groups at a 5% significance level? (a) State the null and alternative hypotheses, and identify which one is the claim. H0H0: Select an answer
1.====
2. At least two of ,,,,
3. are different ===
4. ,,,,
5. are all different === H1H1: Select an answer
1. ====
2. ===
3.,,,, are all different
4.At least two of ,,,,
5.are different === Which one is the claim?
- H0
- H1
For part (b), round your answer to 6 decimal places.
(b) What is the testPP-value that should be used in your hypothesis test? (c) Is the null hypothesis rejected?
- Yes
- No
(d) Is the claim supported?
- No, at the 5% level of significance there is not enough evidence to conclude that there is a difference in the mean amount of food eaten among the various products.
- Yes, at the 5% level of significance there is enough evidence to conclude that there is a difference in the mean amount of food eaten among the various products.
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