6 Seven students in a construction materials lab each conduct an experiment on c

Question

6 Seven students in a construction materials lab each conduct an experiment on concrete test cubes. The instructor is somewhat confused by their results and is concermed that the densities might be off. The students' density results are shown below, with the values all based on a null hypothesis H0: -h-2400 kym, First, fill out column D using the 2-sided alternative Ho-are any results significant at the 5% level? Knowing you're in ME 5572, the instructor asks for your help. He asks you: Out of 7 means, S are below 2400 kg/n just how likely is that? How do you answer? Be sure to explain any null hypothesis and assumptions you make Student No. Cubes t-value p-value, 2-sided H1 +0.275 Betty Lou Constantine Dmitri Eugenia Frank Grace -1.152 2042 +0.207 1.931 2.062 10 Next, the instructor says: Look at the numbers! Out of 56 cubes, the average from 42 maust be a lot lower than 2400 kg/m while the other 14 lead to an average only a little higher than 2400 kg/w' Isn't there some way to combine all the results? Use the Fisher method discussed in class to combine the p-values. What p-value do you obtain and what do you decide?

Explanation / Answer

Grace 8 -2.062 0.0781

All p- values are greater than 5% (0.05) significance level therfore no any results is statistically significant.

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A B C D Student No.Cubes t-value p-value 2 sided H1 Abraham 9 0.275 0.7903 Betty Lou 8 -1.811 0.1130 Constantine 7 -1.152 0.2931 Dmitri 9 -2.042 0.0754 Eugenia 5 0.207 0.8461 Frank 10 1.931 0.0855

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