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Chapter 13: Q. 13.17 (page 532)

Regarding one-way ANOVA, fill in the blanks in each of Exercises 13.15-13.17
13.17 To compare the variation among the sample means to the variation within the samples, we use the ratio of MSTR to-------
This ratio is called the-----

Short Answer

Expert verified

To compare the variation among the sample means to the variation within the samples, we use the ratio of MSTRto MSE.

This ratio is called the F-statistic.

Step by step solution

01

Given information

To compare the variation among the sample means to the variation within the samples. And use the ratio of MSTR.

02

Explanation

The F-statistic is the ratio of deviation between sample means and variation within the sample.
The Error Mean Square is divided by the Treatment Mean Square.
The F-statistic formula is as follows:
F=MSTRMSE

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Most popular questions from this chapter

We have provided data from independent simple random samples from several populations. In each case, determine the following items.

a. SSTR

b. MSTR

c. SSE

d. MSE

e. F

Refer to Exercise 13.74. Suppose that you have obtained a 95%confidence interval for each of the two differences, μ1-μ2and μ1-μ3. Can you be95% confident of both results simultaneously, that is, that both differences are contained in their corresponding confidence intervals? Explain your answer.

Figure 13.7 shows side-by-side boxplots of independent samples from three normally distributed populations having equal standard deviations. Based on these boxplots, would you be inclined to reject the null hypothesis of equal population means? Why?

Fill in the missing entries in the partially completed one-way ANOVA table

Smoking and Cotinine. Smoking during pregnancy is hazardous to both the mother and baby, Passive smoking, or inhalation of second-hand smoke, is also a concern. In the article "detection of Cotinine in Neonate Meconium as a Marker for Nicotine Exposure in Utero" (Eastern Mediterranean Health Journal, Vol. 10no. 12, Pp .96-105), N. Sherif et al. studied whether active smoking or passive-smoking mothers were passing along harmful chemicals to their babies. The level of cotinine in a newborn's first meconium, which is the infant's stool, is reported on the WeissStats site for independent samples of active-, passive-, and non-smoking mothers. Cotinine levels are measured in nanograms per millilitre (ng/mL). Use the technology of your choice to decide whether presuming that the assumptions of normal populations and equal population standard deviations are met is reasonable.
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