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  1. The times taken for ten men to perform a task were measured. After training, designed to reduce the time, the men were tested again. The times in seconds were found and were as follows:
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Man

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A

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B

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C

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D

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E

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F

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G

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H

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I

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J

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Time before

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27

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45

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51

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33

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49

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22

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23

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35

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41

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25

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Time after

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22

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37

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45

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26

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44

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20

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16

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35

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42

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23

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Report on the effectiveness of the training as shown by this experiment. (Hint: this is a paired sample test, and as the sample is small we need to use a t test)

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Which one is the correct null hypothesis?

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 H0: there are no difference between the training time

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Which one is the correct alternative hypothesis?

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What is the critical  value at 5% significance level (3d.p.)

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Calculate the test statistics ( 2d.p.)

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Which one is the correct decesion?

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What is the conclusion

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