(a) The data below represents the monthly share price of Sunway Bhd (SWAY) for the past 10 wecks (i) Find the mean and sampio standard deviation for the above iata (5markx) (ii) Construct a 99% coefidenee interval for the true popalation incan value of Sumway Bhd (SWAY) share price. (iai) An investment oget claims that on averuge, share price of Sunway Bhd (SWAY) to be more than RM 1.50 whare in recent times, Test the agent's claim at a=0.05, if the claim is trie. (7 taarkic) (b) Gabbs Baby Food Company wishes to conspare the weight gain of infants asing is brand venas its competar's. A sample of 40 babies using she Giabs prodoces revealed a mean weight gain of 7.7 poands in the fint three nonths after binh. For the Chbbs brand, the populatioe standard flevistioe of the sample is 2.2 pounds. A sample of 55 babies using the competitot's beand revealdal a mean increase in weight of 8.15 pounds. The populatioes seandard deviation is 2.85 founde At the 0.05 significance level, can we conclude that babier unisg the Gibbs baind gained less weight? (8 mark)