QUESTION 6

1. YOU DO NOT NEED TO SHOW YOUR WORK AND THE FORMULA. DO THAT IN YOUR SCRAP PAPERS. ONLY INDICATE YOUR ANSWERS CLEARLY BY EACH QUESTION.

   1. The table below is a record of a sample hourly pay rates in a financial firm in the Bronx, New York. (30 Points).

   Females	Males	LGBTQ
   $56	$86	$50
   $50	$58	$58
   $67	$76	$87
   $58	$50	$96
   $70	$58	$88
   $185	$70	$90
   $94	$85	$85
   $95	$94	$94
   $65	$95	$95
   $150	$150	$150

   Answer the following questions:

   1. Compute the range for each category. Based on your calculations, is the range for three data set the same or different? (6 Points).
   2. Calculate the sample mean for each category. Based on your calculations, which of the two-sample means are the same? (9 Points).
   3. Calculate the sample standard deviation for each category (preferably using the computation method) and indicate which of the three is more variable. (12 Points).
   4. Based on your calculations of the range, the sample mean and standard deviations, which of the three group of employees appears to be discriminated against in terms of salary? (3 Points).