Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's...

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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 BFormula AFormula C
505619
593344
271747
163943
515415
542932
594843
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.

  1. 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
  2. The test-statistic for this data =  (Please show youranswer to 3 decimal places.)
  3. The p-value for this sample =  (Please show youranswer to 4 decimal places.)
  4. The p-value is Select an answer less than (or equal to) alphagreater than alpha  ??
  5. Base on this, we should Select an answer fail to reject thenull hypothesis reject the null hypothesis accept the nullhypothesis  hypothesis
  6. 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.

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