a large corporation has been 40 years Recently, the corrparty has been hiring older individuals To delemine whether ifweare has been an increase in the average age of all the employees, a sample of 20 employees was selected. The average age in the sample wass 4 years with a standard deviation of 5 years State the appropriate null and alternative hypotheses (2 mark's) Find the critical value at 5% significance level and outline the decision rule (2marks) ill) Calculate the value of the test statistic. (3 marks) iv) Make a conclusion and interpret the result ( marks) B. It is known that the mean number of days per year that business travelers are on the road for business, is normally distributed with a value of 115, and a standard deviation of 60 days per year, i) What is the probability that a randomly selected business traveler will be spending less than 110 days on the road? (3 marks) li) Find the minimum number of days for the top 15% of the business travelers being on the road. (3 marks) iii) What is the probability that the average number of days will be within 5 days of the population mean, if a sample of 50 business travelers was selected? Interpret the results