A random sample of 40 women is partitioned into three categories with ages of be

Question

A random sample of 40 women is partitioned into three categories with ages of below 20, 20 through 40, and over 40. The systolic blood pressure levels are calculated below using the ANOVA formula. The analysis of variance results are also shown below.

Source DF SS MS F P

Factor 2 938 469 1.65 0.205

Error 37 10484 283

Total 39 11422

DF = Degrees of Freedom

SS = Sum of Squares

MS = Means of Squares

F = Test Statistic

P = P value

a. What is the null hypothesis?

b. what is the alternative hypothesis?

c. Identify the test statistic?

d. Identify the P-value?

e. Is there sufficient evidence to support the claim that women in the different age categories have different mean blood pressure levels?

Explanation / Answer

a)

Ho: The mean systolic blood pressure levels are the same for age groups below 20, 20 to 40, and over 40.

b)

Ha: The mean systolic blood pressure levels are not the same for age groups below 20, 20 to 40, and over 40.

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c)

From the table,

F = 1.65 [ANSWER]

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d)

Also, from the table,

P = 0.205 [ANSWER]

********************

e)

The P value is high so,

NO, THERE IS NO sufficient evidence to support the claim that women in the different age categories have different mean blood pressure levels. [CONCLUSION]

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