Question

Question 7 20 pts The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a randomly selected bolt will have a diameter greater than 0.32 inches? (write your answer rounded to 4 decimal places) 0.0228 Question 15 20 pts Use the given data to find the equation of the regression line. Round the final values to three places, if necessary (1,6).(3,4),(5,2) 9 = -2.79 +0.897x 9 = -3.79 +0.801x 9 - 7.0-1.0x 9 = 1.0+ 1.0x

Answer 1

0.07 (Page No. 1 Question 70 let, &: diameters of bolts Xn Norma Cu= 0.30, 0.012) PCX>0.32) = P(x > 0.32 - 0.30 : P(Z > 2) = 0.022750 = 0.0228 Randomly setected bolt will have diameter greater than 0.32 inches have prob. 10.0228) Question 15 :- Regression line y ont is given by, Y= a + byx x byx = Cov(x,x) qa' - j - byxa ã = Ede j= sy here, n = 3 = 3 ; j = 1 2 2 = 4 x² 32 3 Je 2 = 2.6667 = cov CX,Y)= I sey - Je ý = 28 | Cov(X,Y) = -2. GGG} = - 2. GG3 n R 9 3 35 Te ²= {x? n 2.667 3x4 3 1 byx= = -2.6667 2.6667 a = 4- (-1) 3 a'=7 Regression line y on & is, r = 7.-12.

1 Page No. 2 Third option 9 = 7.0-1.0x is correct