L29SampleSizeT1_T2Errors

# L29SampleSizeT1_T2Errors - MGT 2250 — Lesson 29...

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

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.

Unformatted text preview: MGT 2250 — Lesson 29 _, Determining Sample Size For Specified Type I & Type II errors ' April 13, 2011 If alpha and beta are speciﬁed, the sample size “n” can be determined to ensure that neither of them will be exceeded. Note: The z-scores for alphas and betas of the same value are the same. For example: z-alpha for alpha = 0.05 is 1.645, and the z—beta for beta = 0.05 is also 1.645. Note also that alpha and beta can also be eXpressed as the percent probability of making a Type I or type II error respectively. We'will now work through some examples. _ 1 a) A quality control (QC) manager must decide whether to accept a shipment of batteries from a supplier or return it due to unacceptable quality. The quality requirements for these batteries demand that they have a useful life of at least 120' hours. To test the quality of the shipment, a sample of batteries will be selected at random and tested. If the sample indicates a mean useful life of this shipment is significantly less than 120 hours, the shipment will be rejected. (Note: The population standard deviation (sigma) is known to be 12 hours.) What size “n” will be required to hold the probability of making a type I error to 5% and also a Type II error to 5% if the actual life of this population of batteries is 115 hours? I742 pee/ﬂ MW) YZ/L) Z LZQSampleSizeTlééTZanrs 1 b) What size “n” will be required to hold the probability of making a Type I error to 5% and also a Type 11 error to 5% if the actual life of this population of batteries is 112 hours? ' (mo/MM Mid/2V“ 7t 0/11. W i “L (/Q/OV/[L/ [ﬂ I a 1 c) What size “n” will be required to hold the probability of making a Type error to 5% and also a Type II error to 5% if the actual life of this population of batteries is 118 hours? ‘, 1 d) What size “n” will be required to hold the probability of making a Type I L 7 @ error to 5% and a Type II error to 10% if the actual life of this population of 3 batteries is 115 hours? 1 e) What Size “n” will be required to hold the probability of making a Type 1 " error to 1% and a Type II error to 5% if the actual life of this population of batteries is 115 hours? (/QO-r//T)Z 1 1) What size “n” will be required to hold the probability of making a Type error to 1% and a Type II error to 1% if the actual life of this population of batteries is 115 hours? 8 g f a?! 3 Q‘s—x “WWW—pg rah—mm, a» ,mmw L29SampleSizeTl&T2Errors ...
View Full 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