Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 44 47 41 48 41 47 47 42 Left 41 45 39 49 39 43 44 39 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: O Select an answer E (please enter a decimal) Select an answer H: Select an answer ? O Select an answer (Please enter a decimal) b. The test statistic ? O (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) c. The p-value = d. The p-value is ? a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean time to complete the obstacle course with a patch over the right cye is equal to the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically significant at a =0.10, so there is sufficient evidence to conclude that the eight volunteers that were completed the course in the same amount of time on average with the patch over the right eye compared to the left eye. %3D O The results are statistically insignificant at a =0.10, so there is insufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is not the same as the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically significant at a 0.10, so there is sufficient evidence to conclude that

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Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…

Suppose you are the master of the mint. If you sample 200 coins and the king has set the error tolerance at 1 ounce for individual coins, and each coin should weight 1 ounce. What is the error in the sum of the 200 coins. Round to two places.