Question

Three students, Linda, Tuan, and Javier, are given five
laboratory rats

each 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. Using a

significance level of 10%, test the hypothesis that the three
formulas produce the same mean

weight gain.

Linda Tuan Javier

43.5 47.0 51.2

39.4 40.5 40.9

41.3 38.9 37.9

46.0 46.3 45.0

38.2 44.2 48.6

a. State the null and alternative hypotheses

b. What is the test statistic?

c. Using a .05 significance level, what is the decision rule?

d. Show the test statistic and essential calculations.

e. Interpret you results

f. Conduct a Post Hoc Tukey

Answer #1

applying ANOVA:

Anova: Single Factor | ||||||

SUMMARY | ||||||

Groups | Count | Sum | Average | Variance | ||

Linda | 5 | 208.4 | 41.68 | 9.857 | ||

Tuan | 5 | 216.9 | 43.38 | 12.667 | ||

Javier | 5 | 223.6 | 44.72 | 29.557 | ||

ANOVA | ||||||

Source of Variation | SS | df | MS | F | P-value | F crit |

Between Groups | 23.212 | 2 | 11.606 | 0.668536 | 0.530548 | 3.885294 |

Within Groups | 208.324 | 12 | 17.36033 | |||

Total | 231.536 | 14 |

a)

the hypothesis will be:

Null hypothesis: All means are equal

Alternate hypothesis: Atleast one group has a different mean

b)

test statistic F =0.66

c)

*p*-value=0.5305 < 0.05 we do not reject Ho

d)

F-test statistic we will use to compare more than two means.

F= Variation between sample mean/Variation within the sample

= 0.66

e) Interpretation :

We do not reject H0 means there is no evidence against H0 .

Three students, Linda, Tuan, and Javier, are given five
laboratory rats each 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. Using a significance level of
10%, test the hypothesis that the three formulas produce the same
mean...

Three students, Linda, Tuan, and Javier, are given five
laboratory rats each 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. Using a significance level of
10%, test the hypothesis that the three formulas produce the same
mean...

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. Using a significance level of 0.05, test the
hypothesis that the three formulas produce the same mean weight
gain....

A graphing calculator is recommended.
Three students, Linda, Tuan, and Javier, are given five laboratory
rats each 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. Using a significance level of 10%, test
the hypothesis that the three...

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