1. (20 points) study is being conducted o the average temperature of pools in backyards under normal conditions The study obtained the following data in Fahrenheit.
Above Ground 48 48.7 50.1 43.3 47.5 49.4 39.9 52 46.7 50.5 45.6 49.7 45.3 46.9 48.5 In Ground 37.8 45 44.2 60 54.2 56.4 59.3 44.4 41.8 52.9 45.7 57 48.1 58.2 42.5 41.1
Treating this data as simple random sample; estimate the average pool temperature and place a bound on the error of estimation_ Is there evidence to suggest the average pool temperature is different from the recommended temperature of 50 degrees? (5 points) b) The researchers postulated that above ground pools and in ground pools might have different average temperatures, SO they also recorded the type of each pool sampled: Treating the above stratified random sample, and assuming the population of backyard pools is evenly split; estimate the av_ erage pool temperature and place bound on the error of estimation_ Is there evidence to suggest the average pool temperature is different from the recommended value of 502 (7 points) Does treating the sample as stratified improve Our estimation of the average pool temperature? Explain: (3 points) Estimate the difference in above and in ground average pool temperature. Is there evidence to suggest that above and and in ground pools have different average temperatures? Is this result reliable? Explain: (5 points)