Please provide complete work for problem.

1. Researchers are interested in the mean age of a certain population. A random sample of 105 individuals drawn from the population of interest has a mean of 28 years. Assuming that the population is approximately normally distributed with the standard deviation of 20: a. Can we conclude that the population mean of age can be 30 years? b. Can we conclude that the population mean of age can be 50 years? c. From the sample, create the 95% confidence interval for the mean of age. Does the interval contain 30? How about 50? Explain