Question

JS Montgomery, Applied Statistics and Probability for Engineers, 7e ractice ENGINEERING STATISTIC 2033) Assignment Gradebook Downloadable eTextbook ignment PLEIN HACK Questions The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the specifications require the dot danter between 0.0014 and 0.0026 inch of the probability that adot mest specifications to be 0.9875, tandard den reded Hound your awer to decal places. the absolute tolerance is +/-0.0001 Click if you would like to show Work for this question Open Show Work andy By accessing this question Assistance, you will learn while you are pointed on the Paint Potential Policy Hot by your instructor Question Altempt of 2 used SI En Maximum Poistuva 01 awer question correctly in your

Answer 1

P(0.0014 < X <0.0026)=0.9875 0.0014-u X - | 0.0026-41 >P = 0.9875 P 0.0014 -0.002 0.0026-0.002 <Z< = 0.9875 -0.0006 BP 0.0006 <Z< 0.9875 o 0.0006 P(-:<Z< =)=0.9875 where - =

We need to find z such that P(-z<Z<z) = 0.9875 = P(Z< -2) = (1-0.9875)/2 =0.0062 = -2=-2.5 (Normal table) =z= 2.5

0.0006 = 2.5 0.0006 so = 0.00024 (ans) 2.5