Need help:-
(In some of the exercises that follow, we must make assumptions of normal distributions with the usual notation.) For the data given in Exercise 6.5-3, use a t test to test Ho: B = 0 against H,: 8 > 0 at the a = 0.025 significance level. References Exercise 6.5-3 6.5-3. The midterm and final exam scores of 10 students in a statistics course are tabulated as shown. (u) Calculate the least squares regression line for these data. (b) Plot the points and the lead squares regression line on the same graph. (c) Find the value of of. Midlerm Final Midterm Final 70 87 67 74 79 70 74 91 96 94(In some of the exercises that follow, we must make assumptions of normal distributions with the usual notation.) By squaring the binomial expression [(Y- Y) - (Sir/$ )(x - X)] show that Em(Y- Y)-(Sar/s,)(x -D)P = >(-Y) -2 STY E(- D)(Y- Y) 1-1 1-1 + equals (n - 1)5; (1 - R2), where X1 = $1. X2 = 12. ..., Xn = Xn. HINT: Replace Sir = EL(x-D)(Y-Y)/(m-1) by RSxSy.It is necessary to oontrol the percentage of solids in a product, so samples are taken randomly throughout the day and the percentage of solids is measured. Use the following 20 sets of 5 observations for this exercise: Observations i s R 69.8 71.3 65.6 66. 3 70. 1 68.62 2.51 5.7 71.9 69.6 71.9 71.1 71.7 71.24 0.97 2.3 71.9 69.8 66.8 68.3 64.4 68.24 2.86 7.5 64.2 65.1 63.7 66.2 61.9 64.22 1.61 4.3 66.1 62.9 66.9 67.3 63.3 65.30 215 4.4 63.4 67.2 67.4- 65. 5 66.2 65.94 1 .61 4.0 67.5 67.3 66.9 66. 5 65.5 66.74 0.79 2.0 63.9 64.6 62.3 66.2 67.2 64.84 1.92 4.9 66.0 69.8 69.7 71.0 69.8 69.26 1.9} 5.0 66.0 70.3 65.5 67.0 66.8 67.12 1.88 4.8 67.6 68.6 665 66.2 70.4 67.86 1.71 4.2 68.1 64.3 65.2 68.0 65.1 66.14 1.78 3.8 64.5 66.6 65.2 69.3 62.0 65.52 2.69 7.3 67.1 68.3 64.0 64.9 68.2 66.50 1.96 4.3 67.1 63.8 71.4 67.5 63.7 66.70 3.17 7.7 60.7 63.5 62.9 67.0 69.6 64.74 3.53 8.9 71.0 68.6 68.1 67.4 71.7 69.36 1.88 4.3 69.5 61.5 63.7 66.3 68.6 65.92 3.34 8.0 66.7 75.2 79.0 75.3 79.2 75.08 5.07 12.5 77.3 67.2 69.3 67.9 65.6 69.46 4.58 11.7 {a} Calculate the values of ii 5' and E. {6} Use the values ofA3 and g chart. {c} Construct an s chart. {d} Use the values of A2 and Rto oonslruct an 3 chart. {e} Construct an R chart. In a woolen mill, tDyard pieces are inspected. In the last 20 observations, the following numbers of ttaws were found: 24010341124001032350 {a} Compute the control limits of the c chart and draw this control chart. {b} Is the process in statistical control
