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Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 11.3 - Problem 4
Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 11.3 - Problem 4

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# ?In Problems 1–6, assume that the populations are normally distributed. 4. (a) Test whether m1 6 m2 at the a = 0.05 level of significance for the

ISBN: 9780134133539 240

## Solution for problem 4 Chapter 11.3

Statistics: Informed Decisions Using Data | 5th Edition

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Problem 4

In Problems 1–6, assume that the populations are normally distributed.

4. (a) Test whether m1 6 m2 at the a = 0.05 level of significance for the given sample data.

(b) Construct a 95% confidence interval about m1 - m2.

Step-by-Step Solution:

Step 1 of 5) In Problems 1–6, assume that the populations are normally distributed. 4. (a) Test whether m1 6 m2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about m1 - m2. Because the P-value, 0.002, is less than the level of significance, a, we reject the null hypothesis. There is sufficient evidence to indicate that at least one population mean shear bond strength is different from the others. Whenever performing ANOVA, it is a good idea to present visual evidence that supports the conclusions of the test. Side-by-side boxplots are a great way to help visually reinforce the results of the ANOVA procedure. Figure 6 shows the side-by-side boxplots of the data presented in Table 1. The boxplots support the ANOVA results from Example 3. If we were conducting this ANOVA test by hand using the Classical Method, we would compare the F-test statistic with a critical F-value.

Step 2 of 2

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