Good Day Experts ..I would like some detailed explanation of the following statistical methods exercise

Part E only and the others if possible

He sets should be explain alongside the solution

Question I In a particular restaurant. the wailing times for individual waitresses is known to vary. The restaurant nds that the waiting time for waitresses on Saturdays is normally distributed with a standard deviation of 8.2 minutes. The mangers at this restaurant collect data for waiting times for service from a particular waitress on a given Saturday. A random sample of 25 customers has an average waiting time of minutes with a standard deviation of2.5 minutes. 51 111 111 Calculate an estimate ofthe variation of waiting times using an appropriate interval. Calculate an estimate oi" the standard deviation of waiting times using an appropriate interval. At the 5% level of signicance. test the claim that the standard deviation of waiting times for a particular waitress on Saturdays is lower than that of other waitresses. The pvalue associated with this test is 0.000042. At the 1% level of signicance. test the claim that the standard deviation of waiting times for a particular waitress on Saturdays is lower than that of other waitresses. The pvalue associated with this test is 0.0005- At the 10% level of signicance. test the claim that the standard deviation of waiting times for a particular waitress on Saturdays is lower than that of other waitresses. The pvalue associated with this test is 0.1542