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A sample of five people who were convicted of speeding were ordered by the court to attend a workshop. A special device put into their

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A sample of five people who were convicted of speeding were ordered by the court to attend a workshop. A special device put into their cars kept records of their speeds for two weeks before and after the workshop. The maximum speeds for each person during the two weeks before and the two weeks after the workshop follow. Before | [ After Stacey 64 Quetta 68 ~pavar | Hampton | Using a 5% significance level, can we conclude that people are likely to drive significantly faster on average after such a workshop? Assume that speeds of drivers, measured in miles per hour, is normally distributed. 1. Complete the populations, null and researcher's hypothesis Population 1: The set of all| miles per hour v | it took to complete an obstacle course when the after participating in a speeding workshop + |' of was covered. Population 2: The set of all | miles per hour v | o it took to complete an obstacle course when the before participating in a speeding workshop v [' of was covered. 2. Which test would you use to verify the requirements? | n = 30 or X is nermally distributed v | & Has the requirements of the test met? [Yes v| What is the sampling distribution? | Student t-distribution vV ot 3. Determine the cutoff score (critical value) for significance. | -1.8331 4. Fill in the blank for the necessary statistics to test the claim. Use the to help you round your answers. :l | Edzl | and Sd:l | 5. Determine the standardized sample score (from the sample taken) Round your answer to four decimal places. | | 6. Determine the p-value from the standardized sample score. Round your answer to four 7. Make your decision to reject or fail to reject the null hypothesis. decimal places

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