Question

solve only b.) and c.)

1. The allowable concentration of acetone in drinking water is 0.05 mg/L. With 64 samples you measure an average of 0.045 mg/L with a sample standard deviation of 0.02 mg/L.   Can you say at the 90% confidence level that the water meets an acceptable standard?   How many samples would you need to meet the standard at 99% confidence assuming the standard deviation stays the same?

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2. There is a rumor that Fairway gets first choice and hence better produce than C-town. At Fairway you measure 40 navel oranges and find an average weight of 0.4 kg with a sample standard deviation of 0.08 kg. At C-town you measure 30 navel oranges and find an average weight of 0.36 kg with a sample standard deviation of 0.06 kg. Can you say at the 95% confidence level that the C-town oranges are smaller?

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3. Repeat the above analysis if both sample sizes are half as big. ((both sample sizes are half as big))

Answer 1