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1. Null and Alternative hypothesis with proper notation for the parameter. 2. Significance level = 4. Test statistic 5. Critical Value(s) 6. P-value - you

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1. Null and Alternative hypothesis with proper notation for the parameter. 2. Significance level = 4. Test statistic 5. Critical Value(s) 6. P-value - you could get the p-value from calculator but show the setting up of the probability for the problem. 7. Write the decision (whether reject the Null Hypothesis Ho or Fail to reject the Null Hypothesis Ho ). Question 31 pts Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below. Athlete| A B D E F G H Time before training (seconds) 112.7 115.2 109.2 117.2 113.9 118.7 115.2 110.4 Time after training (seconds) 113.3 113.9 106.8 118 112.1 118.8 111.6 106.5 Using a 0.05 level of significance, test the claim that the training helps to

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