The Food and Drug Administration (FDA) is asked to approve a new drug. The new drug should contain less than 25mg of the active ingredient 'toxin',...
View the step-by-step solution to:

Question

The Food and Drug Administration (FDA) is asked to approve a new drug. The new drug should contain less than 25mg

of the active ingredient "toxin", which is assumed to have dangerous side effects. The FDA would like to restrict the error of "approving the drug despite its too high content of toxin" to a maximum risk of 5% (α ≤ 0.05). Let Xi : " The content of toxin in the i-th pill [in mg]." ∼ N(µ, σ2 ) ∼ N(µ, 4). A simple random sample of n = 50 pills ( Xi ∼ i.i.d.) will be used for the test.


Given a significance level of α = 5% what is the highest probability of making a type II error?

In the sample, x¯ = 24.6. Compute the p-value. What do you conclude? [Write down the probability that you computed.]

Has a type I error occurred? Explain your answer.

Has a type II error occurred? Explain your answer.

Top Answer

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question