100% GE Mon 11:03 PM Q E Chrome File Edit View History Bookmarks People Window H

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100% GE Mon 11:03 PM Q E Chrome File Edit View History Bookmarks People Window Help Bb March 2016SPo c x D Practice Answers (1 x D index.aspx?UserlD x C Expected value: Eo x G what is a discrete r x y I kes Learning s x A process that proc x C fi https:// earn. hawkeslearning.com /Portal/Test/test taketest# EE: App Book Bb G uest Blackboard L O outlook Web App Pinterest: Discover a Hawkes Learning sys cricut Design Space Booksh online: Lib starRez Port Sta Turn in Test Chapter 8 Assignment Spring 2016 TAYLOR 00 56 20 Question 6 of 8 Step 2 of 2 A process that produces steel rods is set to give rods of length 177 millimeters. The lengths of the rods produced actually vary according to a normal distribution with mean 177 millimeters and standard deviation 16 millimeters. To ensure high quality, random samples of 16 rods are periodically selected and their lengths measured. Step 2 of 2: What is the probability that the sample mean length falls more than 9 millimeters away from the target value of 177 millimeters. Keypad Hide Answer 0244, o 5738 Prev Next 4262 0122 O .2869 http Portal taketestit

Explanation / Answer

Standard error =sd/sqrt(n) =16/sqrt(16) = 4

9mm away from mean 177

We have to find P( x < 168) or P( x >186)

Z value for 168,z=(168-177)/4= -2.25

Z value for 186,z=(186-177)/4= 2.25

P( z <-2.5)+P( z >2.25) =0.0122+0.0122

=0.0244

Answer : 0.0244

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