Question: 12.3 Computing the pooled standard deviation. An experiment was run to compare three groups. The sample sizes were 25, 22, and 19, and the corresponding

12.3 Computing the pooled standard deviation. An experiment was run to compare three groups. The sample sizes were 25, 22, and 19, and the corresponding estimated standard deviations were 22, 20, and 18.

(a) Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Give a reason for your answer.

(b) Give the values of the variances for the three groups.

(c) Find the pooled variance.

(d) What is the value of the pooled standard deviation?

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