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- Need help asap pls!3. Which of the following is a quantitative variable? a. The brand of a cell phone b. The major of a college graduate c. A person's favorite hobby d. The blood pressure of a patient 4. In experimental and observational studies, data is collected: a. From public or private sources b. By ourselves for a specific purpose c. Out of the internet d. From the libraryDepartment of Research and Development of Unilever Sdn Bhd has conducted a study to improve the quality of production line by measured the weight (in ounces) of 50 bars of soap. The results are as shown in Table 2(b). Table 2(b) Weight of soap 11 12 12 12 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 19 20 (1) Calculate the mean, standard deviation and variance. (ii) By using 6 of class interval, construct a histogram for this data.
- 3] Provide an example of a qualitative variable. You may not use an example provided in th notes.8. Trace metals in drinking water affect the flavor of the water, and un-usually high concentration can pose a health hazard. Table 1 shows trace-metal concentrations (zinc, in mg/L) for both surface water and bottom water at six different river locations. Our aim is to see if surface water concentration (x) is predictive of bottom water concentration (y). a. State the independent and dependent variable? b. State the Ho y HA c. Draw a scatter diagram to show a possible association between the concentrations and check to see if a linear model is justified. d. Calculate the correlation coefficient and provide your interpretation. e. Find the regression equation and pro your interpretation. Table 1 1123456 Location Bottom 0.430 0.266 0.567 0.531 0.707 0.716 Surface 0.415 0.238 0.390 0.410 0.605 0.609 IShow the solution. Thank you
- 1) You test a new drug to reduce blood pressure. A group of 15 patients with high blood pressure report the following systolic pressures (measured in mm Hg): before medication: after medication: change: ̄y s187 120 151 143 160 168 181 197 133 128 130 195 130 147 193 157.53 27.409 187 118 147 145 158 166 177 196 134 124 133 196 130 146 189 156.40 27.060 0 2 4 -2 2 2 4 1 -1 4 -3 -1 0 1 4 1.133 2.295 a) Calculate a 95% CI for the change in blood pressure. b) Calculate a 99% CI for the change in blood pressure. c) Does either interval (the one you calculated in (a) or (b)) include 0? Why is this important? d) Now conduct a one sample t-test using μ = 0, and α = .05. Are the results consistent with (a)? Why or why not? e) Finally, conduct a one sample t-test using μ = 0, and α = .01. Are the results consistent with (b)? Why or why not?A 7. The analyst in the Dorben Company made 10 independent time studies in the hand paint- spraying section of the finishing department. The product line under study revealed a direct relation between spraying time and product surface area. The following data were collected. Study No. 1 2 3 4 5 6 8 9 10 Surface Area 170 12 150 41 130 50 70 105 95 (sq. inches) Standard Time (hours) 0.32 0.11 0.31 0.14 0.27 0.18 7 120 0.24 0.23 0.25 (7a) Compute the slope and intercept constant using regression line equations. (7b) What is the correlation coefficient? (7c) How much spray time would you allow for a new part with a surface area of 250 sq. inches? 0.221. A study of the relation between the waistline and percent body fat in men yielded the data shown (waistline measurement in inches). waistline (x) 34.7 46.5 32.8 41.3 29.8 39.3 35.7 29.0 percent fat (y) 21.8 33.6 13.4 27.1 13.7 30.2 18.5 11.2 x = 36.1375 y = 21.1875 SSxx = 248.53875 SSay = 332.67375 SSyy = 494.30875 (a) Find the proportion of the variability in percent body fat that is accounted for by the size of the waistline. Explain fully. (b) Find the regression line for predicting y from x. (c) Construct a 95% confidence interval for the average percent body fat of all men whose waistline size is 34.0 inches. (d) test HO: Beta1 is 0 vs. Ha : Beta1 is not 0, compute the appropriate test statistic and p-value, then make your decision at a = 0.05. (e) Construct a 90% confidence interval for beta1. (f) Compute a 90% confidence interval for the average percent fat when waistline is 35.
- Solve the following 1.) The following data were obtained in a study of the relationship between the weight and chest size ofinfants at birth. Weight (lbs) Chest Size (cm) 5.64 29.5 4.41 26.3 9.0 32.2 11.32 36.5 7.08 27.2 8.86 27.7 4.74 28.3 8.82 30.3 7.61 28.7 Ans: a.) r= + 0.77 b.) t = 3.193llustration 21.14. Calculate the coefficient of contingency from the following data relating social status and intelligence: Social Status Dull Brilliant Average 35 Lower Middle Middle 22 23 38 70 32 Upper Middle 60 20 20kln 2.18 The report "Trends in Education 2010: Community Colleges" (www.collegeboard.com/trends) included the accompanying information on student debt for students graduating with an AA degree from a public community college in 2008. Debt Relative Frequency None 0.62 Less than $10,000 0.23 Between $10,000 and $20,000 0.10 More than $20,000 0.05 a. Use the given information to construct a bar chart. b. Comment on student debt for public community college graduates.