Two machines used in manufacturing textiles were set to perform a task in 16 min. The performance times of nine such tasks were recorded for each machine as follows:  Can the machines be said to perform the tasks in significantly different mean time from each other? Use α=0.05 and assume that σ2 1 =σ2 2. Carry out analysis by (1) classical method and (2) p-value approach if you have access to computer software (EXCEL, MINITAB) to obtain the p-value.

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Machine 1 16.03 16.04 16.05 16.05 16.02 16.01 15.96 15.98 16.02 Machine 2 16.02 15.96 16.01 15.99 16.03 16.04 16.02 16.01 16.00