A random sample of size n is drawn from a population with mean and standard deviation . The mean and standard deviation of the sample are X =45 and s = 5.8. a. Calculate a 95% confidence interval for by using the sample size n=30 b. Calculate a 98% confidence interval for by using the sample size n=60 a) Find a 95% confidence interval for the mean . b) Find a 98% confidence interval for the mean . A random sample of size n is drawn from a population with mean and standard deviation . The mean and standard deviation of the sample are X =45 and s = 5.8. a. Calculate a 95% confidence interval for by using the sample size n=30 b. Calculate a 98% confidence interval for by using the sample size n=60 a) Find a 95% confidence interval for the mean . Confidence interval = X z* n ) X (bar) = 45, n = 30, =5.8 and z = 1.96 5.8 So, confidence interval = 45 1.96* 30 ) = (42.9245, 47.0755) Here CI(95) = 42.9245 47.0755 b) Find a 98% confidence interval for the mean . Confidence interval = X z* n ) X (bar) = 45, n = 60, =5.8 and z = 2.33 5.8 So, confidence interval = 45 2.33* 60 ) = (43.2554, 46.7446) Here CI(98) = 43.2554 46.7446 A random sample of size n is drawn from a population with mean and standard deviation . The mean and standard deviation of the sample are X =45 and s = 5.8. a. Calculate a 95% confidence interval for by using the sample size n=30 b. Calculate a 98% confidence interval for by using the sample size n=60 a) Find a 95% confidence interval for the mean . Confidence interval = X z* n ) X (bar) = 45, n = 30, =5.8 and z = 1.96 5.8 So, confidence interval = 45 1.96* 30 ) = (42.9245, 47.0755) Here CI(95) = 42.9245 47.0755 b) Find a 98% confidence interval for the mean . Confidence interval = X z* n ) X (bar) = 45, n = 60, =5.8 and z = 2.33 5.8 So, confidence interval = 45 2.33* 60 ) = (43.2554, 46.7446) Here CI(98) = 43.2554 46.7446