Name ______
Stat Test 2 Review
1.Find the z-score for each of the following values:
a) 15.8, when = .06 and = 16.1
b) 185.6, when = 1.2 and = 190.1
c) -41.5, when = 2.1 and = -44.8
2.Find the data value that has the following z-score,
mean, and standard deviation:
a) z-score: -1.3, mean: 36.9, standard deviation: 2.1
b) z-score: 0.45, mean: -183.5, standard deviation: 12.6
c) z-score: 1.2, mean: 14, standard deviation: .03
3.You score a 1240 on the SAT and a 27 on the ACT. The SAT has a mean and standard deviation of 1150 and 120, where the ACT has a mean of 21 and a standard deviation of 4.7. On which test did you do better?
4.What symbol represents mean? Standard deviation? Z-score?
5.According to the empirical rule for normal distributions, approximately what percent of the data falls within 2 standard deviations of the mean?
6.Name the 4 conditions that need to be met in order for an experiment to be a binomial experiment.
7.What do n, p, r, and q stand for in a binomial experiment?
8.There are 20 questions on a multiple choice test. Each question has four possible answers, with only one answer being correct. Sarah did not study and must guess on every question. What is the probability that Sarah guess correctly on 14 questions, therefore passing the test?
9.The probability a student passes a team physical is 0.39. What is the probability that at least 4 of 5 randomly chosen students will pass the physical?
10.Seven out of every 10 students have a writing utensil. Harvey surveys 15 students in the school. What is the probability that 8 of them have a writing utensil?
11.a) What is the probability that if a coin is tossed it lands on heads?
b) If Johnny tosses a coin 5 times, what is the probability that it will land on tails3 times?
12.A quiz has five multiple-choice questions. There are four possible responses for each question. Jennifer selects her responses at random on every question. What is the probability that she will select the correct response for
a) at most one question?
b) at least three questions?
13.Assume that in the U.S. 1/5 of all cars are red. Suppose you are driving down the highway and you pass 6 cars. What is the probability that
a) at most one of the cars you pass is red?
b) at least four of the cars you pass are red?
14.A varsity basketball player makes ¾ of the foul shots she attempts. You randomly select 8 varsity players. Find the mean and standard deviation.
15.The probability that the bus arrives on time is 5/6. Yolanda takes this bus on 4 consecutive days. Find the probability that this bus will arrive on time all four days.
16.Dave is the manager of a construction supply warehouse and notes that 60% of the items purchased are heating items, 25% are electrical items, and 15% are plumbing items. Find the probability that
a) at least three of the next five items purchased are heating items.
b) at least three of the next five items purchased are plumbing items.
17.Jim can drive a golf ball over 220 yards 40% of the time. He regularly plays on a golf course where drives of that distance are needed on 12 holes. What is the mean and standard deviation?
18.3 in 4 adults say they have trouble waking up on mornings when it is raining. You randomly survey 6 adults about this topic. What is the mean and standard deviation of your data?