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 1/1 8/3 31/3 1/6 1/7 2/9 9/10 2/12 Room Rates -7/3 30/3 - 31/5 -30/6 -1/9 -8/10 -1/12 -20/12 21/12 - 31/12 A Oceanfront 75 1 double bed 125 85 100 150 95 85 75 125 B Oceanfront 85 135 2 double beds 95 110 105 95 85 135 C Oceanfront Effic, 105 2 double beds 155 115 130 125 115 105 155 D 2 room suite 120 175 3 double beds 130 150 140 130 120 175 E Oceanfront Suite 140 200 150 3 double beds 175 225 165 150 140 200 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. (i) 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. (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 ) c. (i) On Sunday, September 20, 2003 during the Eastern Conference Quarterfinals of the Stanley Cup Playoff (Ottawa beat the Islanders 3-0) the only rooms ocupied were 20 Type A, 15 Type B, and 7 Type E. What was the average revenue "per bed" on September 20? (Round to the nearest dollar. )