Pork producers and their neighbors are concerned about potential health safety and environmental issues associated with swine barns. The Veterinary Infectious Disease Organization (VIDO) conducted a 5-month air-quality study and found that there was no statistically significant increase in airborne pollutants 600 meters (m) downwind from a swine barn. Let X be the increase in airborne pollutants measured 600 m downwind from the swine barn. (Source: Swine barns are not a downwind health threat. Canadian Veterinary Journal a. Determine the null and alternative hypotheses.
b. Sample data indicated that the null hypothesis should not be rejected. State the conclusion of the researcher in context of the problem.
c. Suppose, in fact, there is an increase in airborne pollutants 600 meters downwind from a swine barn. Was a Type I or Type Il error committed?

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

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.

step-by-step explanation: