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In: Statistics and Probability

Calcium Method 0.0279 1 0.0276 1 0.0270 1 0.0275 1 0.0281 1 0.0268 2 0.0274 2...

Calcium Method
0.0279 1

0.0276

1
0.0270 1
0.0275 1
0.0281 1
0.0268 2
0.0274 2
0.0267 2
0.0263 2
0.0267 2
0.0280 3
0.0279 3
0.0282 3
0.0278 3
0.0283 3

1. The calcium content of a powdered mineral substance was analyzed five times by each of three methods (with similar standard deviations). Perform the appropriate analysis of variance for the data. Assume α = 0.05.

A. State the null and alternative hypotheses for the factor.

B. Do the data provide sufficient evidence to indicate a difference in calcium content among the three methods? Why or why not?

C. Explain your result to the previous question in a way that a non-statistician can understand.

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