The calcium (Ca) content of a powdered mineral substance was analyzed 10 times with the following percent compositions recorded:
0.0271 0.0282 0.0279 0.0281 0.0268
0.0271 0.0281 0.0269 0.0275 0.0276
a. Find a 99% confidence interval for the true calcium content of this substance.
b. What does the phrase "99% confident" mean?
c. What assumptions must you make about the sampling procedure so that this confidence interval will be valid? What does this mean to the chemist who is performing the analysis?