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A manufacturer of safety helmets wants to make sure that the mean force translated by the...

A manufacturer of safety helmets wants to make sure that the mean force translated by the helmet is well below the industry standard of 900 pounds. In a random sample of 40 safety helmets, the mean force translated was 875 pounds with standard deviation 50 pounds.

(a) Find a 95% confidence interval for the average force translated by the helmet.

(b) Do the data provide sufficient evidence to support the manufacturer’s hypothesis; use an appropriate significance test to answer this question.

Please post all work!! much appreciated

Math   Statistics-And-Probability   
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