Aveterinary researcher takes an srs of 60 horses presenting with colic. the average age of the 60 horses with colic is 12 years. the average age of horses seen at the veterinary clinic was determined to be 10 years. the researcher also determined that the standard deviation of horses coming to the veterinary clinic is 8 years. the probability that a sample mean is 12 or larger for a sample from the horse population is:
a. 0.0100.
b. 0.1264.
c. 0.0264.
d. 0.9736.

 C. 0.0264.

Step-by-step explanation:

Given : Sample size :

Population mean :

Standard deviation:

Sample mean :

We assume that the age of horses are normally distributed.

Test statistic:

z-score :

i.e.

Using the standard normal distribution table , the probability that a sample mean is 12 or larger for a sample from the horse population :-

Hence, the required probability = 0.0264

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step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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