An instructional video on pitching claims that after undergoing the training on

Question

An instructional video on pitching claims that after undergoing the training on the video, players will be able to throw strikes on at least 58% of their pitches. To test this claim, 20 Little Leaguers throw 50 pitches each before and after undergoing the training. The table records the number of strikes (out of 50) that each player threw. Use a significance level of 0.05 Before After 29 29 30 32 34 30 32 313133 32 32 34 33 33 343436 38 36 36 37 32 28 31 30 3234 35 36 33 34 3230 33 34 36 33 36 32

Explanation / Answer

We use Excel to solve this question.

From part b) you currently identify that our test is one tailed.

Therefore at 0.05 significance level,

The test statistic is -0.721

The P-value is 0.2398

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t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 32.650 33.200 Variance 5.608 5.747 Observations 20.000 20.000 Pearson Correlation -0.024 Hypothesized Mean Difference 0.000 df 19.000 t Stat -0.721 P(T<=t) one-tail 0.2398 t Critical one-tail 1.729 P(T<=t) two-tail 0.480 t Critical two-tail 2.093

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