The following table shows a sample of room rates for a 100 room resort hotel in Nova Scotia for the time period Jan. 1 to Dec. 2003. Note that 1/1-7/3 means January 1 to March 7, 2003. Be sure to scroll down to see the bottom of the rate table. 2003 Room Rates A Oceanfront 1 double bed B Oceanfront 2 double beds C Oceanfront Effic. 2 double beds D E 2 room suite 3 double beds Oceanfront Suite 3 double beds Extra Person 1/1 -7/3 -30/3-31/5 8/3 31/3 - 31/5 75 85 120 125 105 155 175 140 5 135 85 95 115 130 1/6 -30/6 100 150 5 110 130 1/7 -1/9 150 160 175 5 180 150 200 2/9 -8/10 95 225 10 105 125 140 9/10 2/12 -1/12 -20/12 85 75 95 115 130 85 105 120 200 165 8 7 IMPORTANT: Please omit the dollar signs in all answers. Note: Suites have 3 beds a. For the 9 time periods, what was the mean extra person rate? b. (1) This hotel has 20 type A rooms, 15 type B, 30 type C, 25 type D and the remainder are type E. If the hotel was fully booked (with no extra people in any room) on Friday, Sept. 12th, 2003 then what was the mean revenue per room rounded to the nearest dollar? HINT: Use whole numbers. 150 5 21/12 - 31/12 125 140 5 135 155 175 200 10 (ii) What was the standard deviation of the room rates on Sept. 12 for this sample of the guest population? (Use 2 decimal places rounded)