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Chapter 13: Q. 4 (page 547)

Suppose that you want to compare the means of three populations by using one-way ANOVA. If the sample sizes are 5, 6, and 6, determine the degrees of freedom for the appropriate F-curve.

Short Answer

Expert verified

The degree of freedom isdf=(2,14).

Step by step solution

01

Given Information

Sample sizes of the population are 5, 6, and 6.

The F-degrees freedom of curve are,

df=(k-1,n-k)

where n is the sample size and k is the sample means.

02

Explanation

The population sample sizes are 5, 6. and 6.

Because the three sample sizes have three sample means,

k=3

the F-degrees freedom of curve are,

df=(3-1,5+6+6-3)=(2,14)

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Most popular questions from this chapter

Doing Time. The Federal Bureau of Prisons publishes data in Statistical Report on the times served by prisoners released from federal institutions for the first time. Independent simple random samples of released prisoners for five different offence categories yielded the data on time served, in months, shown on the WeissStats site.

a. Obtain individual normal probability plots and the standard deviation of the samples.

b. Perform a residual analysis.

c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so. also do parts (d) and (e).

d. Use a one-way ANOVA test to decide, at the 5%significance level, Whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations fewer than the samples were taken.

e. Interpret your results from part (d).

One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations?

For a one-way ANOVA test, suppose that, in reality, the null hypothesis is false. Does that mean that no two of the populations have the same mean? If not, what does it mean?

The data from independent simple random samples from several populations are given.

a. Compute SST, SSTR, and SSE by using the computing formulas.

b. Compare your results in part (a) for SSTR and SSE with those you obtained in Exercises 13.24-13.29, where you employed the defining formulas,

c. Construct a one-way ANOVA table.

d. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples were drawn are not all the same.

Fill in the missing entries in the partially completed one-way ANOVA tables.

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