MATH 230 PROBABILITY AND STATISTICS .docx - MATH 230 PROBABILITY AND STASTICS II ASSIGNMENT DUE 21ST NOVEMBER 2018 Question one A A recent study

MATH 230 PROBABILITY AND STATISTICS .docx - MATH 230...

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MATH 230 PROBABILITY AND STASTICS II ASSIGNMENT DUE 21 ST NOVEMBER 2018 Question one A. A recent study recorded the following data on number of installation lines made and the cost of installation No of installation Lines 12 25 15 20 30 32 40 38 8 Cost of installation “000” 24 45 30 36 61 58 75 64 15 Required: I. Fit the regression line of Y=a + bx II. Calculate and interpret pearson’s coefficient of correlation III. Predict the value of Y given X=57 B. According to monthly economic report, the mean monthly spending on transport among middle class citizen is shs 15,000 with standard deviation of shs 2,000.suppose 300 middle class citizens are selected randomly, what is the number of citizens whose monthly transport spending will be(assume normal distribution)
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Unformatted text preview: I. Between shs 9,000 and shs 14,500 II. Less than shs 17,800 III. More than shs 23,000 (10 marks) Question Two A. Explain two conditions which must be satisfied to use poisson distribution to approximate binomial distribution. B. Why are there in general two regression lines C. Two drugs were administered to two groups of randomly assigned patients to cure the same disease. The following about the number of patients who were cured and not cured by each of the two drugs. cured not cured total Drug 1 120 80 200 drug 2 190 110 300 total 310 190 500 test at 5% significance level wether or not the two drugs are similar in curing and not curing the patients. (10 marks)...
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