A random sample is drawn from a population of known standard deviation 22.1. Construct a 95% confidence interval for the population mean based on the information given (not all of the information given need be used).
a. n=121, x¯=82.4, s=21.9 n=121, x¯=82.4, s=21.9
b. n=81, x¯=82.4, s=21.9 n=81, x¯=82.4, s=21.9
The corresponding confidence interval is computed as shown below:
a) The critical value for degrees of freedom is
Therefore, based on the data provided, the 95% confidence interval for the population mean is which indicates that we are 95% confident that the true population mean is contained by the interval
b) The critical value for degrees of freedom is
Therefore, based on the data provided, the 95% confidence interval for the population mean is which indicates that we are 95% confident that the true population mean is contained by the interval
Comments