Question

Medical reaearch has showa that repeoted wrist extenslons beyond 20 degrees increase the risk of wrist and hand infurles. Each of 24 atudents at a iniversity used a propesed near computer mouse deslgn, and while using the mouse, each student's wrist extenaion was recorded. Dota consistent wath summary values given in a paper are given here. (a) Use these data to estimate the mean wrist extension for people using this new mouse design uaing a gos confidence interval. (Round your answers to three sedmal placm.) (b) What assumptions are required in order for it to be appropeiate to geoeralre vour estimate to the population of atusents at this univariity? Yes, the assumption that the 24 students in the study formed a rancom sampie α students at at universties. No, we cannet generalize the estimate to any population as we have less than 30 stucents. hes, the assumption would have to be made that the 24 students in the spudy formed a randam aample of students at this uriveraity. No, we can generaiize the estimate to the populatien ef students at this univenity. Yes, the assumption would have to be made that the 24 students in the study formed a random sample of people in the courhr. To the popviation of all universty students? Yes, the assumption that the 24 stidents in the study formed o rancom sampie of students at at univenties. Ves, the assumption would have to be made that the 24 stuitents in the study formed a random sample ef people in the country. No, we can peneraitio the estimate to the pepulation of at university stucents. No, we cannot generaize the estimate to any popuation as wh have less than 30 students. Ves, the assumption would have te be made that the 24 students in the otudy formed a randam mampie of atudenes ham this univeruty. why not. No, the entire cornidence interval is below 20 , so the rewuts of the itudy wouls be very likely if the population mean weiet extensioe were greater than 20. No, the conndence interval contains 20, so the results of the study would be very likey it the population mean wnst extension aere greater than 20. Yes, the entice confidence interval is above 20 , so the results of the stidy would be ver unthely if the popucation meail wrist eatension ware as ior as 20. Yes, the confidence interval contains 20,=0 the resuits of the study would be very unikey ir the population mean wriat extension were as low as 20.

Answer 1

Without specific numerical data, the mean wrist extension using the new mouse design cannot be estimated, and assumptions about the sample's randomness and representation are crucial for generalizing the confidence interval to the population.

Step-by-step explanation:

In order to estimate the mean wrist extension for students using the new mouse design, one would typically calculate the confidence interval using the given sample data. However, since specific numerical data (such as sample mean and standard deviation) have not been provided in the request, an actual confidence interval cannot be computed. To generate a valid confidence interval, assumptions would have to include that the sample of 24 students is random and representative of the university population.

Assuming a normal distribution and an appropriately large sample size, a Student's t-distribution could be applied for a sample size less than 30 if the population standard deviation is unknown. However, even with a sample size smaller than 30, the results can sometimes be generalized if the sample is indeed representative and random.