(Solved):   (1) Mr Kapenya's perfomance of his 100 class of students at Rusangu university is given in ...

 

(1) Mr Kapenya's perfomance of his 100 class of students at Rusangu university is given in an incomplete distribution below. (a) If the mean is 33 , show that \( f_{6}=10 \) [5] (b) Draw the histogram, the line graph and pie chart [6] (c) If he wants to pick a sample of students who have passed to this course to attend a business planning serminal, calculate what could be his sample size [8]. (d) Are these result normally distributed?. [6] (2) In 2019, there was an outbreak of a certain disease at Rusangu university. Dr Chimoga picks rondomly picks Mr kapenya'sample (previous qestion) size of students to determine how the extend of the damage that was caused. At 95 confidence level and \( 0.005 \) level of precision, Find the number of students at RU at that time if the chance that a student is not affected is \( 0.576 \) [10] Find the two mean of the two series and the correlation coefficient. \( [20] \) ]. (3) In an intelligence test administered to 1000 students the average score was 48 and the standard deviation is 28 . Find the value of score exceeding by the top 600 students. [10]. (4) In a sample of 8 Observations, the sum of squared deviations of items from the mean was \( 84.4 \). In another sample of 10 observations, the value was found to be 102.6. Test whether the difference is significant at 5 percent level [10]. (5) You are given the following information related to the frequency distribution complising \( \bar{x}=5.5, \bar{y}=4.0, \sum x^{2}=380 \), \( \sum y^{2}=190 \) and \( \sum(x+y)^{2}=940 \), find the correlation and the two regression equations for the 10 partspants. [20]