A random sample of 51 values has a mean of 34 and a standard deviation of 5.a) Compute the 90% confidence interval for the population mean.b) Computethe95%confidenceintervalforthepopulationmean.c) Compute the 99% confidence interval for the population mean.d) Whathappenstothemarginoferrorandthewidthoftheconfidenceinterval as the confidence level increases?2.Twenty?six of a random sample of 200 Colorado vehicles are uninsured.a) Compute the point estimate of the population proportion of uninsured vehicles.b) Compute the 95% confidence interval for the population proportion.7. At 99% confidence, compute the sample size required to obtain a margin of error of 0.04 for the estimation of an unknown population proportion.8. A manager wants to make a confidence interval for the true mean number of training days for the employees at his industrial plant. Use six days as the population standard deviation and compute the sample size required for each situation.a) 95% confidence and a margin of error of two days. b) 90%confidenceandamarginoferrorofthreedays.