Medical research has shown that repeated wrist extensions beyond 20 degrees increase the risk of wrist and hand injuries. Each of 24 students at a university used a proposed new computer mouse design, and while using the mouse, each student's wrist extension was recorded. Data consistent with summary values given in a paper are given here. 26 28 25 25 27 25 25 24 24 24 25 28 22 25 24 28 27 26 31 25 28 27 27 25 USE SALT (a) Use these data to estimate the mean wrist extension for people using this new mouse design using a 90% confidence interval. (Round your answers to three decimal places.) (b) What assumptions are required in order for it to be appropriate to generalize your estimate to the population of students at this university? No, we cannot generalize the estimate to any population as we have less than 30 students. Yes, the assumption would have to be made that the 24 students in the study formed a random sample of people in the country. Yes, the assumption would have to be made that the 24 students in the study formed a random sample of students at this university. No, we can generalize the estimate to the population of students at this university. Yes, the assumption that the 24 students in the study formed a random sample of students at all universities. To the population of all university students? O Yes, the assumption would have to be made that the 24 students in the study formed a random sample of people in the country. No, we can generalize the estimate to the population of all university students. Yes, the assumption that the 24 students in the study formed a random sample of students at all universities. Yes, the assumption would have to be made that the 24 students in the study formed a random sample of students from this university. No, we cannot generalize the estimate to any population as we have less than 30 students. (c) Based on your interval from part (a), do you think there is reason to believe that the mean wrist extension for people using the new mouse design is greater than 20 degrees? Explain why or why not. O Yes, the confidence interval contains 20, so the results of the study would be very unlikely if the population mean wrist extension were as low as 20. Yes, the entire confidence interval is above 20, so the results of the study would be very unlikely if the population mean wrist extension were as low as 20. O No, the entire confidence interval is below 20, so the results of the study would be very likely if the population mean wrist extension were greater than 20. O No, the confidence interval contains 20, so the results of the study would be very likely if the population mean wrist extension were greater