2.Due to their parent's work schedules, many children are left home alone daily.In data collected for a sample of 83 households, children were found to be left alone for an average of 2.3 hours per day with a sample standard deviation of .9 hours per day.

a) Construct a 90% confidence interval for the mean length of time for which children are left home alone per day.Explain the meaning in the context of the problem.

b) Explain why it is impossible to find the minimum sample size required to be 95% confident that the sample mean length of time for which children are left home alone per day is within .5hoursof the true mean.(If you cannot figure out why, then try to do the problem and see where you get stuck.)