The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters, and standard deviation of 3.9 liters. A} What is the probability that daily production is less than 40.3 liters? Use technology (not tables]: to get your probability. Answer= [Round your answer to 4 decimal places.) B} What is the probability that daily production is more than 33 liters? Use technology [not tables]: to get your probability. Answer= [Round your answer to 4 decimal places.) Warning: Do not use the 2 Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table. A distribution of values is normal with a mean of 140 and a standard deviation of 98.9. Find P41, which is the score separating the bottom 41% from the top 59%. P41 Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. The combined SAT scores 'For the students at a local high school are normally distributed with a mean of 1543 and a standard deviation of 310. The local college includes a minimum score of 990 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement? PIEX > 990] = 90 Enter your answer as a percent accurate to 1 decimal place {do not enter the "90\" sign]. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Scores for a common standardized college aptitude test are normally distributed with a mean of 503 and a standard deviation of 112. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 584.2. P{X > 584.2} = Enter your answer as a number accurate to 4 decimal places. If 7' of the men are randomly selected, find the probability that their mean score is at least 584.2. P[M > 584.2] = Enter your answer as a number accurate to 4 decimal places. Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. If the random sample of 7 men does result in a mean score of 584.2, is there strong evidence to support the claim that the course is actually effective? '3' No. The probability indicates that it is too possible by chance alone to randomly select a group of students with a mean as high as 584.2. '33:? Yes. The probability indicates that it is {highly 2'} unlikely that by chance, a randomly selected group of students would get a mean as high as 584.2