The following data represent the times recorded by nine 100-yard backstroke swimmers, in seconds, before and after

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The following data represent the times recorded by nine 100-yard backstroke swimmers, in seconds, before and after they participated in a new training program. These data can also be found in the Excel file backstroke.xlsx.

Swimmer 1 2 3 4 5 6 7 8 9 Before 75 76 67 72 73 66 63 72 69 After 71 74 65 68 72 70 60 67 65 Using a = 0.05, perform a hypothesis test to determine if the new program effectively reduced swimming times for the 100-yard backstroke.

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