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One tailed test of hypothesis: difference between means

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To evaluate the relative merits of two prosthetic devices designed to facilitate manual dexterity, an occupational therapist assigned 21 patients with identical handicaps to wear one or the other of two devices while performing a certain task. 11 patients wore device A and 10 wore device B. The researcher recorded the time each patiend required to perform a certain task, with the following results Device A Device B
mean= 65 seconds mean=75 seconds
variance= 81 seconds^2 variance= 64 seconds^2

Do these data provide sufficient evidence to indicate that device A is more effective than device B

(see the details in the attached problem #2.21)

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Tests the hypothesis: device A is more effective than device B

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To evaluate the relative merits of two prosthetic devices designed to facilitate manual dexterity, an occupational therapist assigned 21 patients with identical handicaps to wear one or the other of two devices while performing a certain task. 11 patients wore device A and 10 wore device B. The researcher recorded the time each patiend required to perform a certain task, with the following results

Device A Device B
mean= 65 seconds mean=75 seconds
variance= 81 seconds^2 variance= 64 seconds^2

Do these data provide sufficient evidence to indicate that device A is more effective than ...

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