Please answer in detailed steps with explanation (using typed or very clear hand writing) you can use excel if required but please share spreadsheet with formulas for the understanding.

State the null and alternative hypotheses for each of the following situations. Explain your choice. Then interpret the meaning of a Type 1 and a Type 2 error in the context of the problem.

(a)The average time workers spent commuting to work in Verona five years ago was 38.2 minutes. The Verona Chamber of Commerce wants to know if they can claim that the average is more now.

(b)The mean salary for all men in a certain profession is $58,291. Before filing a grievance, women in the same profession want to know if they earn less than the men.