Question 5. The Niagara Workforce Planning Board wants to compare the employment and wages in the 15 to 24 age group in the Services-Producing sector for both full-time and parttime workers for the month of July over the period between 2008 and 2017. The Excel file NWPB/Wages.xlsx shows Employee monthly wages by industry. (a) Find the sample means and standard deviations of hourly wages for full-time and parttime employees and find the mean number of full-time and part-time employees in the Services-Producing sector for July from 2008 to 2017. (b) Test, at the 10% significance level, the claim: the mean hourly wages in July for full time workers and part-time workers are different. (c) Construct a 95% confidence interval for the population proportion of full-time workers in the Services-Producing sector for July from 2008 to 2017. (d) Compare (b) and (c) and give an explanation for your conclusion