AMS
hw10sol_fall03

# hw10sol_fall03 - AMS 310.01 FALL 2003 Homework#10 Solutions...

• Homework Help
• PresidentHackerCaribou10582
• 3

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

AMS 310.01  FALL 2003   Homework #10  Solutions  7.30 (a)  The probability of Type I error is the probability that  X is less than 2.9960 or  greater than 3.0040 when  3.0000 μ = . Using a normal approximation to the  distribution of the sample mean, this probability is given by  2.9960 3.0000 3.0040 3.0000 ( ) 1 ( ) 0.0250/ 30 0.0250/ 30 F F - - + - ( 0.876) 1 (0.876) 2 ( 0.876) 0.381 F F F = - + - = - = (b)  The probability of type II error is the probability that  2.9960 3.0040 X < <   when  3.0050 μ = . Using a normal approximation, this probability is given by 3.0040 3.0050 2.9960 3.0050 0.0250/ 30 0.0250/ 30 F F - - - ( 0.219) ( 1.97) 0.4133 0.0244 0.3889 F F = - - - = - = 7.32 Using the normal approximation for the distribution of the sample mean,  we need to find  x  such that  100 0.01 12/ 40 x F - = Using the normal table, we see that  100 2.33 12/ 40 x - = - So, we reject the null hypothesis if  x x <  where  95.58 x = 7.38 (a)    The null hypothesis is  50 μ  ohms,       and the alternative hypothesis is  50 μ <  ohms.

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

This is the end of the preview. Sign up to access the rest of the document.
• Fall '03
• Mendell
• Null hypothesis, Statistical hypothesis testing, 5 degrees, 50 ohms, 3000 hours

{[ 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