3. You are in the business of hiring part-time employees. This allows your business to have a cheaper workforce since you save on benefits. You want to attract potential employees, but you do not want to pay out an extravagant amount of money. Based on experience, the salary of a part-time employee typically ranges from $10 to $13.50 an hour. (Range rule of thumb, maybe ?) a. You will conduct a sample of wage amounts from part-time employees within the general geographic area to determine an estimate of the population mean for part-time wages. If you want to be 95%% sure that your sample mean is within ten cents of the population mean, how many employees do you need to look at ? For the estimate of variability in the sample size formula, range rule of thumb, maybe ?) b. Now, assume you took the sample that you just determined. You achieved a sample average of $ 12.75 for the hourly wage. Your sample had a standard deviation of $2.00. Construct a 95 % confidence interval for the true population mean hourly wage for part- time employees