Statistics Review Questions & Answers

Statistics Review Questions & Answers A biology class conducted an experiment to determine if playing classical music had an effect on the hatching rate of chicken eggs. Here are their results.Let event A = Music and event B = Hatched.Calculate the following:P(A|B) = - ANSWER: .589 A biology class conducted an experiment to determine if playing classical music had an effect on the hatching rate of chicken eggs. Here are their results.Let event A = Music and event B = Hatched.Calculate the following:P(B|A) = - ANSWER: .981 A biology class conducted an experiment to determine whether playing classical music had an effect on the hatching rate of chicken eggs. Here are their results.Let event A = Music and event B = Hatched.Are events A and B independent?Yes, P(A) = P(A|B).Yes, P(A) = P(B|A).No, P(A) ≠ P(A|B).No, P(B) = P(B|A). - ANSWER: No, P(A) ≠ P(A|B). A biology student wants to determine if using a fertilizer would help promote growth of new babies in spider plants. The student chooses 100 baby spider plants to be used in the study. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. Fifty of the plants will be given the fertilizer treatment and the other 50 plants will not receive any fertilizer. After one year, the shoots will be counted for each plant. Which of the following describes a completely randomized design for this experiment? - ANSWER: Number the plants 1-100 and put these numbers into a random number generator. The first 50 unique numbers generated will represent the plants placed in the fertilizer group. The remaining 50 plants will be placed in the group that does not receive fertilizer. A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram. What is the probability that a randomly selected customer purchases the ultimate car wash if they vacuum their car? - ANSWER: .48