This is a Statistics course that I take this year, but struggling with the question.

Can you please help me answer Q. 1 (a, b, c, d, e, f)?

1. A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution. Hourly Wages Number of Part-time Employees $40 - less than $50 12 $50 - less than $60 26 $60 - less than $70 35 $70 - less than $80 17 $80 - less than $90 8 $90 - less than $100 N (a) Calculate the mean, mode and standard deviation of the hourly wages. [6 marks] (b) Calculate the coefficient of variation. [1 mark] (c) If the median is equal to (60 + $), calculate Pearson's 2nd coefficient of skewness and interpret your answer briefly. [1 mark] (d) The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the sample size required to achieve this error. [3 marks] (e) Estimate, from the frequency distribution, the probability that at most one of six randomly selected employees have an hourly wages greater than $75. [5 marks] (f) Construct a 95% confidence interval for the population mean of hourly wages for all part-time em- ployees in the Food Delivery service sector. State any assumptions you may have used. [4 marks]