1) assume the population distribution of phosphorus are mound shaped and symmetric for these two regions. Region I: x1; n1=12 540, 810, 790, 340, 800, 890, 860, 820, 640, 970, 720 Region II: x2; n2 =16 750, 870, 700, 810, 965, 350,,895,850,635,955,710,890, 520, 650, 280, 993 A) use a calculator with mean and standard deviation keys to calculate x1,s1,x2 and s2 (round your answer to four decimal places) X1=_____ppm S1=______ ppm X2=____ ppm S2=_____ B) let u1 be the population mean for x1 and let u2 be the population mean for x2. Find 99% confidence interval for u1-u2 (round your answers to one decimal place) Lower limit ___ Upper____ 2)a random sample of 366 married couples found that 296 had two or more personality preferences in common. In another random sample of 586 married couples, it was found that only 22 had no preference. Let P1 the population proportion of all married couple. Let p2 be the population proportion of all married couples who have no personality preference in common. A) find 95% confidence interval for p1-p2 (use 3 decimal place) Lower limit _______ Upper limit _____ 3) most married couples have two or three personality in common. A random sample of 360 married couples found that 126 had three preferences in common. Another random sample 578 couples showed that 236 had two personality preference in common. Let p1 be the population proportion of all married couples who have three personality preference in common. Let p2 be the population proportion of all married couples who have two personality preference in common. A) find 99% confidence interval for p1-p2 (use 3 decimal place) Lower limit _____ Upper limit _____ 4)based on 9700 observation the sample mean interval was x1=61.6 minutes. Let x2 be a random variable that represents the time interval in minutes for the years 1983 to 1987. Based on 25,106 observations , the sample mean time interval was x2=71.0 minutes.Historical data suggest that population standard deviation 1 = 8.28 minutes and population standard deviation 2 = 12.13 minutes. Let u1 be the population mean of x1 and let u2 be the population mean of x2. A) compute 99% confidence interval for u1-u2 (use 2 decimal place) Lower limit______ Upper limit _____ 5) let be a random variable represents empathy test. Let x2 be the empathy score of apathetic . A random sample of 33 mothers gave a sample mean of x1= 68.70. Another random sample of 32 fathers gave x2 = 58.70. Assume that population standard deviation 1 = 11.41 and population standard deviation 2= 11.30. A) let u1 be the population mean of x1 and let u2 be the population mean ofx2. Find 99% confidence interval for u1-u2 (round your answer to two decimal place) Lower li,it _____ Upper limit ____ 6) a random sample of 218 permanent dwelling showed 68 were traditional hogans. Sample of 143 permanent dwellings showed that 22 were traditional hogans. Let p1 be the population proportion and p2 be the population proportion. A) find 90% confidence interval for p1-p2 (use 3 decimal places) Lower limit_____ Upper limit ______