Chemical Purity A chemical manufacturer claims that the purity of his product never varies by more than 2%. Five batches were tested and given purity readings of 98.2, 97.1, 98.9, 97.7, and 97.9%.
a. Do the data provide sufficient evidence to contradict the manufacturer’s claim? (HINT: To be generous, let a range of 2% equal 4σ.)
b. Find a 90% confidence interval for
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