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a. Plot a histogram of each of the three groups. Do these data match the assumptions of an ANOVA? Explain.

b.Do an appropriate hypothesis test to ask whether lifespan differs between the three groups of flies (Hint: Kruskal-Wallis Test). What is the p-value of this test?

c.Interpret the result of this test in one sentence.

math   Statistics-And-Probability   
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Answer #1

a.

Histogram for Tim01:

Histogram of tim01 0 5 10 15 tim01

The data is not normally distributed,does'nt satisfy homoscadasticity,therefore we can say that it does not follow ANOVA assumptions.

Histogram for Tim01(rescued):

Histogram of resd 12 丈 5 10 15 esc

The data is not normally distributed,does'nt satisfy homoscadasticity,therefore we can say that it does not follow ANOVA assumptions.

Histogram for wild type:

Histogram of wild 0 5 1015 20 wild

The data is not normally distributed,does'nt satisfy homoscadasticity,therefore we can say that it does not follow ANOVA assumptions.

(b)

H0 : Life span do not differ between the three groups of flies.

H1 : Life span differs between the three groups of flies.

KRUSKAL WALLIS TEST:

> kruskal.test (data) Kruskal-Wallis rank sum test data: data Kruskal-Wallis chi-squared = 44.395, df = 2, p-value = 2.29e-10

(c)

At 5 % level of significance,we reject H0.Therefore we can conclude that life span differs between the three groups of flies.

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