‎Salesman A Salesman B‏ سسا

‎No. of samples 18
Average Sales (Rs.’000) 205
Standard Deviation (Rs.’000) 25

‎(4.5 marks)
PART ^

‎7. (೩) The following is an observed frequency distribution. Using a normal distribution with
5൦ 98.6 and 6 = 3.78,

‎Observed Frequency | 69 | 408 | 842 | ഖെ | 137

‎൫ Find the probability of falling into each class.
(ii) From part (i), compute the expected frequency of each category.
(iii) Calculate K-S statistic.
(iv) At the 0.10 significance level, does the distribution seen to be well described by
the suggested normal distribution?
(7.5 marks)
(b) — The weight (in pounds) and systolic blood pressure of 26 randomly selected males in

‎the age group 25 to 30 are given below. Assume that weight and blood pressure are
jointly normally distributed.

‎(i) Estimate the correlation coefficient.

‎(11) Test the hypothesis that 0 = 0, using a = 0.05.
(iii) Construct a 95% confidence interval for the correlation coefficient.

‎(7.5 marks)

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