1. In a recent utilization survey of an e-learning platform of a post-secondary institution, a random sample of 64 students is selected (out a of a population of 5000 students). Their weekly hours of using this platform to perform learning activities are collected.After analyzing the data, a researcher states that he is 95% confident that the mean hours of the 5000 students is between 36.2 and 40.8 hours.

a. Explain the meaning of the statement reported by the researcher.

b. Suppose the population mean hours is later found to be 35.4 hours. The confidence interval reported by the researcher failed to cover the population mean. Discuss if there is anything wrong with the interval?