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A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample variance 2.4. Test the following hypotheses at the .05 level of significance. H0: Population 1 Variance < Population 2 Variance Ha: Population 1 Variance > Population 2 Variance a. What is the p-value

Respuesta :

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

[tex]\alpha[/tex] = 0.05

[tex]H_{0}[/tex] = Population Variance 1 ≤  Population Variance 2

[tex]H_{a}[/tex] = Population Variance 1 >  Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is [tex]F_{0.05}[/tex] = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.

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