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I am working on a statistical problem where I have to interpret a single factor ANOVA test that has a 95% confidence Interval. The ANOVA analysis was made up of this data:

Four box designs were created, and the compressive strength to failure was measured Compressive Strength (lb) Box Design # 1 2 Mean SD 95 655.5 789.2 737.1 535.1 788.3 772.5 639 628.7 734.3 786.9 696.3 7 542.2 721.4 686.1 671.7 559 679.1 732.1 699.4713.00 46.55 774.8 756.93 40.34 698.0737.20 561.98 39.89 48.85 42.33 39.04 41.87 727.1 520 4 586.9

This is the ANOVA data analysis generated from the data above:

SUMMARY Groups Count SumAverage Variance 713 2166.952 6 4541.6 756.9333 1626.947 6 4188.4 698.0667 1383.963 6 3371.9 561.9833 1591.51 4278 4 ANOVA Source of Variation Between Groups Within Groups based on data based on alpha F crit SS df P-value MSF 342474.32 25.09794 127423 5.5|918Е-07 3.098391212 33846.86 20 1692.343 Total 161269.8 23

Questions:

1. What is the null hypothesis for an ANOVA test?

2. Do the 4 box designs produce the same mean compressive strength?

3. Provide 2 specific statistical comparisons and describe how you established your conclusion. Be specific

math   Statistics-And-Probability   
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Answer #1

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