Think about a density curve that consists of two line segments.

Three types of fine fiber were tested for their breaking point using five specimens for each type. The breaking points, measured in pounds, are presented below.

Type of fiber

IIIIII

10 7 15

14 11 7

14 8 10

12 9 14

16 11 9

Perform an analysis of variance and summarize your results in a summary table.

What is your conclusion with regard to the null hypothesis that there is no difference between strengths of three fiber types?

Also: Write out the null hypothesis and alternative hypothesis

Clearly state the within group variation and df

Clearly state the within group variation and df

Show the calculation for F

What is the critical value?

State your conclusion in terms of the null hypothesis and in plain language.

Anova: Single Factor

SUMMARY

GroupsCountSumAverageVariance

I56613.25.2

III5469.23.2

III5551111.5

ANOVA

Source of VariationSSdfMSFP-valueF crit

Between Groups40.133220.0673.0250.0863.885

Within Groups79.600126.633

Total119.73314