A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three specia

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A researcher wishes to see whether there is any difference in
the weight gains of athletes following one of three special diets.
Athletes are randomly assigned to three groups and placed on
the diet for 6 weeks. The weight gains (in pounds) are shown here.
At α=0.05, can the researcher conclude that there is a difference
in the diets?
Diet A 3 ; 6 ; 7 ; 4
Diet B 10 ; 12 ; 11 ; 14 ; 8 ; 6
Diet C 8 ; 3 ; 2 ; 5
a) State the hypotheses and identify the claim with the correct
hypothesis.
1.
H0:The means are equal (Not
claim)
H1:At least one of the means is
different (claim)
2.
H0:The means are equal (claim)
H1:At least one of the means is
different (Not claim)
3.
H0:At least one of the means is
different (claim)
H1:The means are equal (Not
claim)
b) Find the critical value (s).
1. CV=3.89
2. CV=3.98
3. CV=4.10
c) Compute the test value:
1. F= 8.75
2. F=6.75
3. F= 7.75
d) Make the decision.
1. Reject the null hypothesis.
2.Do not reject the null hypothesis.
e) Summarize the results.
1. There is enough evidence to support the claim.
2.There is not enough evidence to support the claim.