A recent survey of 70 fresh graduates revealed that it took an average of 8 weeks for them to secure a job position. The standard deviation for these fresh graduates to secure a job was 3.4 weeks. Construct a 92% confidence interval for the population mean. Interpret the confidence interval. How large a sample is needed to find the population mean within 1.5 weeks at 99% confidence interval? It was further known that the population mean is 7 weeks and population standard deviation is 4 weeks. What is the probability that the sample mean will be more than 8 weeks? What is the minimum sample size required if the standard error cannot be more than 0.5