Three students, Linda, Tuan, and Javier, are given laboratoryrats for a nutritional experiment. Each rat's weight is recorded ingrams. Linda feeds her rats Formula A, Tuan feeds his rats FormulaB, and Javier feeds his rats Formula C. At the end of a specifiedtime period, each rat is weighed again, and the net gain in gramsis 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 populationstandard deviations are all the same, and the data was collectedindependently and randomly. Use a level of significance of?=0.01?=0.01.
H0: ?1=?2=?3H0: ?1=?2=?3
H1:H1: At least two of the means differ from each other.
- For this study, we should use Select an answer 2-SampTInt1-PropZInt 2-SampTTest 2-PropZInt TInterval 1-PropZTest T-Test?²GOF-Test ANOVA 2-PropZTest ?²-Test
- The test-statistic for this data = (Please show youranswer to 3 decimal places.)
- The p-value for this sample = (Please show youranswer to 4 decimal places.)
- The p-value is Select an answer less than (or equal to) alphagreater than alpha ??
- Base on this, we should Select an answer fail to reject thenull hypothesis reject the null hypothesis accept the nullhypothesis hypothesis
- As such, the final conclusion is that...
- There is sufficient evidence to support the claim thatnutritional formula type is a factor in weight gain for rats.
- There is insufficient evidence to support the claim thatnutritional formula type is a factor in weight gain for rats.
