As part of a statistics project, a teacher brings a bag of marbles containing 600 white marbles and 300 red marbles. she tells the students the bag contains 900 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. a student randomly draws 150 marbles from the bag. of the 150 marbles, 54 are red. the data collection method can best be described as survey controlled study clinical study census the target population consists of the 300 red marbles in the bag the 900 marbles in the bag the 150 marbles drawn by the student the 54 red marbles drawn by the student none of the above the sample consists of the 54 red marbl

x=half

step-by-step explanation:

1 liter of pineapple juice was made i think.

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.