The chief executive officer of an IT Company wants to prove that average age of the employees at the company is more than years. The age of employees...

The chief executive officer of an IT Company wants to prove that average age of the employees at the company is more than years. The age of employees at the company is more than 30 years. The age distribution of the employees at the company is normal with μ & σ unknown. For sample of 5 employees it was found that the average age is 31 and the sample standard deviation is 10.5,

Use a =0.1

i.Write down the null and alternative hypotheses of the test

ii.Calculate the test statistic

iii.Determine the rejection region

iv.Write down the decision and conclusion based on the test results