Some computer output for an analysis of variance test to compare means is given.

Question

Some computer output for an analysis of variance test to compare means is given. Source Groups Error MS 300.0 52.5 DF 4 1200.0 35 1837.5 9 3037.5 5.71 Total (a) How many groups are there? groups exact number, no tolerance SHOW HINT LINK TO TEXT (b) What is the p-value? Round your answer to four decimal places The p-value is the absolute tolerance is +/-0.0001 SHOW HINT LINK TO TEXT (c) Give the conclusion of the test, using a 5% significance level O Reject Ho O Do not reject Ho SHOW HINT LINK TO TEXT Is there evidence of a difference between the population means? Yes No

Explanation / Answer

a)

Number of groups = df + 1

= 4 + 1 = 5

There are 5 groups.

b)

p value is 0.0012

c)

At 5% significance level,

Since p value < 0.05, we have sufficient evidence to reject H0.

Reject H0.

d)

Yes, There is evidence of a difference between the population mean.

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