Sleep - College Students: You want to construct a confidence interval for the mean hours of sleep for all college students and you want to find the appropriate sample size for some constraints outlined below. Assume you know the population standard deviation () is 1.00 hour. Enter your answers as whole numbers.(a) Estimate the sample size required to be 95% confident that the sample mean is within 0.2 hours of the population mean for college students.The minimum sample size is students. (b) Estimate the sample size required to be 95% confident that the sample mean is within 0.1 hours of the population mean for college students.The minimum sample size is students. (c) Estimate the sample size required to be 99% confident that the sample mean is within 0.1 hours of the population mean for college students.The minimum sample size is students.