(Solved): For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official pu ...

For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than $1.1\mathrm{mg}$ is acceptable. A sample of 41 capsules was taken and the weights are provided below: (Note: The average and the standard deviation of the data are respectively $79.9\mathrm{mg}$ and $1\mathrm{mg}$.) At $10\%$ significance level, test the claim that the standard deviation of capsule weights of the drug is different from $1.1\mathrm{mg}$. Procedure: Assumptions: (select everything that applies) The number of positive and negative responses are both greater than 10 Population standard deviation is unknown Sample size is greater than 30 Normal population Population standard deviation is known Simple random sample