Test Hypotheses About a Population Proportion
-A Pharmaceutical Company Manufactures $2 \mathrm { mg }$

Test Hypotheses about a Population Proportion
-A pharmaceutical company manufactures a 81 -mg pain reliever. Company specifications include that the standard deviation of the amount of the active ingredient must not exceed $2 \mathrm { mg }$ . The quality -control manager selects a random sample of 30 tablets from a certain batch and finds that the standard deviation is $2.4 \mathrm { mg }$ . Assume that the amount of the active ingredient is normally distributed. Test the claim that the standard deviation of the amount of the active ingredient is greater than $2 \mathrm { mg }$ at the $\alpha = 0.05$ level of significance.