Question

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:

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

Answer 1