1) Carbonated drink bottles are filled by an automated filling machine, Assume that the fill volume is normally distributed and from previous production process the variance of fill volume is 0.005 litre. A random sample of size 16 was drawn from this process which gives the mean fill volume of 0.51 litre. Construct a 99% Cl on the mean fill of all carbonated drink bottles produced by this factory. 2) A random sample of 12 wafers were drawn from a slider fabrication process which gives the following photoresist thickness in micrometer: 10 11 9 8 10 10 11 8 9 10 11 12 Assume that the thickness is normally distributed. Construct 95% CI for mean of all wafers thickness produces by this factory. A. 3) A loan creditor at a bank wishes to consider the loan balance for all customers who are currently carrying overdrafts. A random sample of 20 shows a sample mean of RM1559.42 and a sample standard deviation of RM204.86. Assume that the balances are normally distributed. Construct a 90% confidence interval for the population mean balance, "x. 4) A lecturer at UniKL wishes to estimate the average of students currently enrolled in the university. From the previous studies, the population standard deviation is known to be 2 years old. A sample of 25 students is selected and the mean is found to be 23.2 years. Construct 95% confidence interval of the population mean. 5) A quality inspector inspected a random sample of 300 memory chips from a production line, she found 9 are defectives. Construct a 99% confidence interval for the proportion of defective chips. 6) A manufacturer of mobile phone batteries is interested in estimating the proportion of defect of his products. A random sample of size 800 batteries contains 10 defectives. Construct a 95% confidence interval for the proportion of defectives