Homework Solutions 10

# Homework Solutions 10 - (W4150 Intro to Probability and...

This preview shows pages 1–2. Sign up to view the full content.

Solutions to Homework #10 (W4150 ‘Intro to Probability and Statistics’, S04) Sec. 10.4. (1) (a) Conclude that fewer than 30% of the public are allergic to some cheese products when in fact 30% or more are allergic. (b) Conclude that at least 30% of the public are allergic to some cheese products when in fact fewer than 30% are allergic. Sec.10.4. (2) (a) The training is effective (b) The training is effective Sec. 10.4. (3) (a) The firm is not guilty. (b) The firm is guilty. Sec.10.4 (6) (a) α = P{to reject H o when it’s true} = P(X< 3 | p=.6) = .0548 following the binomial distribution (b) For three different alternative values we have: β = P{to accept H 0 when it’s not true} = P(X>3|p=.3) = .3504 β = P(X>3|p=.4) = .6177 β = P(X>3|p=.5) = .8281 Sec. 10.4. (7) Here we apply the normal approximation to the binomial (since n is large enough): (a) α = P{to reject H o when it’s true} = P(X<24 | p=.6) = P[Z<(24.5-(.6)(50))/ (50)(.4)(.6)} = P(Z< -1.59) = .0559 (b) For three different alternative values we have: β = P{to accept H 0 when it’s not true} = P(X>24|p=.3) = P(Z>2.93) = .0017 β = P(X>24|p=.4) = .0968 β = P(X>24|p=.5) = .5557 Sec. 10.4. (12) (a) p = .6, n = 400; therefore μ = np = 240 and σ = 400(.6)(.4) = 9.798

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern