Question

Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded.

Formula B	Formula A	Formula C
50	56	19
59	33	44
27	17	47
16	39	43
51	54	15
54	29	32
59	48	43
36
22

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.

H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least two of the means differ from each other.

1. For this study, we should use Select an answer 2-SampTInt 1-PropZInt 2-SampTTest 2-PropZInt TInterval 1-PropZTest T-Test χ²GOF-Test ANOVA 2-PropZTest χ²-Test
2. The test-statistic for this data =  (Please show your answer to 3 decimal places.)
3. The p-value for this sample =  (Please show your answer to 4 decimal places.)
4. The p-value is Select an answer less than (or equal to) alpha greater than alpha  αα
5. Base on this, we should Select an answer fail to reject the null hypothesis reject the null hypothesis accept the null hypothesis  hypothesis
6. As such, the final conclusion is that...
   • There is sufficient evidence to support the claim that nutritional formula type is a factor in weight gain for rats.
   • There is insufficient evidence to support the claim that nutritional formula type is a factor in weight gain for rats.

Answer 1

Solution: Here concept of "One way ANOVA" is used.