Answer the discussion and reply to two of my classmates. I have provided the slides so you can have a better understanding.

A new drug is being made by a drug manufacturer and is marketed as containing 30 mg of morphine in each tablet. The FDA tests the drug before it is approved to be sold in the US. The null hypothesis is that the drug contains the marketed 30 mg of morphine. If they find enough evidence to claim the drug does not contain the marketed 30 mg they will force the drug company to reapply for approval after making changes. Let’s say the study sampled 256 tablets and got a sample average of 29.9 with a standard deviation of 1mg, which resulted in a 95% confidence interval ( 29.775 , 30.025 ).

What is the population of interest? All morphine tablets made by this manufacturer

What is the null hypothesis, in words and in symbols?

H0:μ=30

The population mean of all morphine tablets made by this manufactuter is equal to 30 mg

**First Post:**

- You start working on the hypothesis test and your friend who is not taking a statistics class asks you “The average was 29.9, which not 30, so why are you doing all these extra steps in a hypothesis test? Can’t you just say the average isn’t 30?” How would you explain why we do a hypothesis test?
- The decision of the hypothesis test, in this case, is “fail to reject the null hypothesis”. Your friend asks if that is the same as accepting the null hypothesis. Explain to your friend why ‘fail to reject’ and ‘accept’ are not the same.

- If the drug manufacturer’s machine was miscalibrated and was truly making tablets with 29.8mg, then was the decision above a Type I Error, Type II Error, or the correct decision? Why?

**Reply to two classmates: ****(**that does not have a response or has very few responses)

- For one classmate, point out something in their explanation that was well said or helped you better understand the question.
- For another classmate, if you think one of their points would be clearer with some re-wording, recommend an alternative. (You can do this on your own post if you decide to change something after reading your classmate’s thoughts).

Classmate #1

Classmate #2