After successfully "pitching" his project to management, Angus MacDonald has started to collect the data needed to build his model. Angus' first order of business is to collect data on shipping times for steel shipments between Nanticoke, ON and Halifax, NS. To estimate this time, Angus has obtained transit times from two shipping firms (A & B) that currently ship oil between refineries in Nanticoke and Dartmouth, NS (Dartmouth is located across the harbour from Halifax). Each firm reported its shipping time in days for its last 10 deliveries: B A 8 10 7 10 18 2 8 11 12 8 4 6 11 6 11 11 1) Assuming transit times between the two ports to be normally distributed, determine if the 4th data entry for Firm A (2 days) can be considered to be an anomaly. 5 Marks 2) Considering only shipping Firm B, how many data samples will Angus need to collect to ensure that he can obtain an estimate for transit time that is within +/- 1 day 19'times out of 20? 5 Marks 3) Based on the results from this pilot study, which of the two firms should be selected as to deliver steel to Halifax? State any assumptions that you make and justify your result. 5 Marks After successfully "pitching" his project to management, Angus MacDonald has started to collect the data needed to build his model. Angus' first order of business is to collect data on shipping times for steel shipments between Nanticoke, ON and Halifax, NS. To estimate this time, Angus has obtained transit times from two shipping firms (A & B) that currently ship oil between refineries in Nanticoke and Dartmouth, NS (Dartmouth is located across the harbour from Halifax). Each firm reported its shipping time in days for its last 10 deliveries: B A 8 10 7 10 18 2 8 11 12 8 4 6 11 6 11 11 1) Assuming transit times between the two ports to be normally distributed, determine if the 4th data entry for Firm A (2 days) can be considered to be an anomaly. 5 Marks 2) Considering only shipping Firm B, how many data samples will Angus need to collect to ensure that he can obtain an estimate for transit time that is within +/- 1 day 19'times out of 20? 5 Marks 3) Based on the results from this pilot study, which of the two firms should be selected as to deliver steel to Halifax? State any assumptions that you make and justify your result. 5 Marks