Question

Question 13 (1 point) When designing the placement of a CD player in a new model car, engineers must consider the forward grip reach of the driver. If the CD player is placed beyond the froward grip reach, the driver must move his or her body in a way that could be distracting and dangerous. Design engineers decided that the CD should be placed so that it is within the forward grip reach of 95% of women. Women have forward grip reaches that are normally distributed with a mean of 27.0 inch and a standard deviation of 1.3 inch. Find the forward grip reach of women that separates the longest 95% from others 25.89 in 27.00 in 24.86 in 29.14 in Previous Page Next Page Page 13 of 40 o E е оо

Answer 1

women that = 0,95 1.3 0 Let & be forward grip reach of women ..Xwn (M=29 inch = 1.3 inch) We want to find the forward grip reach o separates the longest 957. from others ie. Pgs. .. p( x < 895) » Plzs P95 -27) = 0.95 from standard normal table P(Z < 1,65) = 0.95 comparing 0 & we get P95-27 = 1.65 1:3 P95 = 217 + (1.65x1.3) Pg5 29.147 Therefore, forward grip reach of women that seperates the longest g's") from others is 28.14 inch. Let y be wingspan of cloned monarch butterflies. .'. YuNC II = gom, 6-0.75cm) want to compute P(Y <8 riply (8) As) PC ZL-1.33) PCY<8) 0.09176 Therefore, The probability of wingspan is less than is 0.09176 (2 we . = Plz 2 8-9 0.15 8 cm