Guys please help:
6. Students in Mr Brawn’s exercise class have to do press-ups and sit-ups. The number of press-ups x and the number of sit-ups y done by a random sample of 8 students are summarised below.
(a) Evaluate Sxx, Syy and Sxy.
(b) Calculate, to 3 decimal places, the product moment correlation coefficient between x and y.
(c) Give an interpretation of your coefficient.
(d) Calculate the mean and the standard deviation of the number of press-ups done by these students.
Mr Brawn assumes that the number of press-ups that can be done by any student can be modelled by a normal distribution with mean μ and standard deviation σ. Assuming that μ and σ take the same values as those calculated in part (d),
(e) find the value of a such that P(μ – a < X < μ + a) = 0.95.
(f) Comment on Mr Brawn’s assumption of normality.