Confidence Intervals of a Population Mean1.Now suppose you do not know the population mean fee charged to H&R Block customers last year. Instead, suppose you take a sample of size n=40 and find a sample mean of 175. Assume that the distribution for fees is normally distributed with a population standard deviation of $50.a.Calculate the standard error of x (line over x)b.95% confidence interval for the population mean of fees at H&R Block.i.Calculate the margin of error (MOE) of using a 5% significance level.ii.Calculate the 95% confidence interval.iii.Write one complete sentence about the interpretation of the confidence interval.a.90% confidence interval for the population mean of fees H&R Block.i.Calculate the margin of error (MOE) of using a 10% significance level.ii.Calculate the 90% confidence interval.iii.Suppose an analyst belief that the population mean fee is equal to $185. Using a 90% confidence level. can we conclude the analyst is right? Why or why not?please show every step!