help to solve the following question

1With reference to Exercise 11.3 on page 398, {a} evaluate 52; {5) construct a 99% condence interval for u; {c} construct a 93% condence interval for 161. 11.3 The amounts of a chemical compound vthat dissolved in we grams otvvater at various temperatures I were recorded as follows: I {OC} 1v {grams} o s s s 15 12 1o 14 so 25 21 24 45 31 33 25 so 44 35 4s 75 45 51 44 {a} Find the equation of the regression line. {5) Graph the line on a scatter diagram. {c} Estimate the amount Df chemical that Will dissolve in 100 grams of water at 5C!\" C. Test the hypothesis that ,8\". = 15 in Exercise 11.3 on page 399 against the alternative that 5o s 15. Use a (105 level of signirmance. 11.3 A mathematics plaoement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. The placement test scores and the nal grades for 20 students who took the regular course were reoorded. {a} PM a scatter diagram. {on} Find the equation of the regression line to predict course grades from placement test scores. {c} Graph the line on the scalter diagram. {d} If ED is the minimum passing grade, below which placementtest score should students in the future DE UEHiEU admission 10 this EDUFSE? Placement Test Course Grade 51] 53 35 41 35 51 41] 55 55 53 55 35 35 l 1 51] TD t] 73 35 59 9|] 54 \fA stud}:r was conducted to determine whether lifestyle changes oould replace medication in reducing blood pressure among hvpertensives. The factors considered were a heatthv diet with an exercise program, the typical dosage of medication for hypertension, and no intervention. The pretreatment body.r mass index [Elhlli was also calculated because it is ltnown to affect blood pressure. The response considered in this studyr was change in blood pressure. The variable \"group" had the following levels. 1 = Healthy.r diet and an exercise program 2 = Medication 3 = No intervention {a} Fit an appropriate model using the data below. Does it appear that exercise and diet oould be effectively:r used to lower blood pressure? Explain your answer from the results. {ti} Would exercise and diet be an effective alternative to medication? {Hint You mav wish to form the model in more than one way.r to answer both of these questions} Change in Blood Pressure Group BMI 32 1 27.3 21 1 22.1 25 1 212.1 l 1 27.8 11 2 19.2 19 2 26.1 23 2 28.6 5 2 23.0 Case Study: Consider the data set for Exercise 12.12, page 452 {hospital data}, repeated here. Site 1:1 mg :33 3:4 1:5 3:; 1 15.57 2463 472.92 18.9 4.45 566.52 44.92 2948 1339.75 9.5 6.92 696.82 29.42 3949 629.25 12.8 4.28 1933.15 18.74 6595 568.33 36. 7 3.99 1993.62 49.29 5723 1497.69 35.7 5.59 1611.37 44.92 11,529 1365.83 24.9 4.69 1613.27 55.48 5779 1687.99 43.3 5.62 1854.17 59.28 5969 1639.92 46.7 5.15 2169.55 94.39 8461 2872.33 78.7 6.18 2395.58 19 128.92 29,196 3655.98 189.5 6.15 3593.93 11 96.99 13,313 2912.99 69.9 5.88 3571.59 12 131.42 19,771 3921.99 193.7 4.88 3741.49 13 127.21 15,543 3865.67 126.8 5.59 4926.52 14 252.99 36,194 7684.19 157.7 7.99 19,343.81 15 499.29 34,793 12,446.33 169.4 19.75 11,732.17 16 463.79 39,294 14,998.49 331.4 7.95 15,414.94 17 519.22 86,533 15,524.99 371.6 6.35 18,854.45 snooqopsnemm {a} The see PRoo REG outputs provided in Figures 12.9 and 12.1o supply a considerable amount of information. Goals are to do outlier detection and eventuallyr determine which model terms are to be used in the nal model. \fRepeat Exercise 1D_8 but assume that It'd patients are given the mussel extract and the critical region is dened to be x =: 24, where x is the number of osteoarthritic patients who receive relief. \"LB In Heller from Arthritis published by Thorsons Publishers, Ltd_, John E. Croft claims that over 40% of those who suffer fmm osteoarthritis receive measurable relief from an ingredient pmduced by a particular species of mussel found off the coast of New Zealand. To test this claim, the mussel extract is to be given to a group of Ir' osteoarthritic pahents. If 3 or more of the patients receive relief, we shall not reject the null hvpothesis that p = [14; otherwise, we conclude that p er. {14. {a} Evaluate o, assuming that p = (14. in} Evaluate p for the altemaljve p = as. If we plot the probabilities of failing to reject Ht] corresponding to various alternatives for p {including the value specied bv HD} and connect all the points by a smooth curve, we obtain the operating characteristic curve of the test criterion, or simply the 0C curve. Note that the pmbabilihr offailing to reject HD 1iiiihen it is true is simply.r 1 o. Operating characteristic curves are widely:r used in industrial applications to provide a visual displajir of the merits of the test criterion. With reference to Exercise 10.15, nd the probabilities of failing to reject Ht] for the following 3 values ofpr and plot the DC curve: 184, 138, 192, 195, 2m, 2m, 2055, 212, and 215