Q.2 Set. (B) Decathlon wants to know the customer based on their purchasing pattern and whether the customer had only one pair of shoes , one pair of socks or more than one pair of shoes and/or sock. The results from a sample of 100 customers are as follows: sample mean of purchases is Rs.1200, sample standard deviation of purchases is Rs.200, 30 customers have shoes, 50 customers have socks and 20 customers have more than one pair of shoes and/or socks.
(a) Construct a 90% confidence interval estimate for the population proportion of customers who only had one pair of shoes [2]
(b) Construct a 95% confidence interval estimate for the population mean purchases made at Decathlon