Review 1-4
A zoologist studying adult bears measures a number of different variables. Which of the following possible variables is qualitative?
Weight, height, average number of fish eaten, level of aggression (low, medium, high), average hours of sleep, and fur color.
What is level of aggression and fur color
Describe the shape of a uniform distribution.
What is all same frequency or straight line
The major league baseball teams have a mean of 81 wins and a standard deviation of 11.7. Find the z-score for a team with 72 wins.
What is -0.77
What is the total area under the normal curve?
What is 1.0 or 100%
The weights of golden retriever puppies are normally distributed with a mean of 68 lbs. and a standard deviation of 8 lbs. What weight marks the bottom 30%?
What is 63.8 lbs
Find the percentile for 24.
18, 18, 20, 21, 24, 26, 31, 36, 38, 45
What is 40th percentile?
A set of data is uniformly distributed over the interval 0 to 8. Find the probability that a variable has a value greater than 5.
What is 0.375
Robert made an 84 on his math test that had a mean of 75 and a standard deviation of 7. He also made a 79 on his science test that had a mean of 75 and a standard deviation of 4. Which test did he perform better on relative to the rest of the class?
What is his math test
The statistics Challenge Exam scores are Normally distributed with a mean of 55 and a standard deviation of 12. Find the probability of someone passing the test (70 is passing).
What is 0.1056
Amount of rainfall in December is normally distributed with mean of 5.5 inches and a standard deviation of 1.2 inches. Find the third quartile.
What is 6.31 inches
Find the 5 number summary for the data below.
25, 25, 27, 28, 32, 38, 41, 45, 45, 52
What is 25, 27, 35, 45, 52
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability that the given range of pounds lost is between 8 pounds and 11 pounds.
What is 1/2 or 0.5
Aiden has a z-score of 1.5 on his stats midterm. The exam has a mean of 78 with a standard deviation of 12. Find Aiden's exam grade.
What is 96
The statistics Challenge Exam scores are Normally distributed with a mean of 55 and a standard deviation of 12. If 500 students take the exam, how many of them would score less than 45?
What is 101 students
Amount of snowfall in January is normally distributed with a mean of 2.2 inches and a standard deviation of 0.8 inches. Find the 35th percentile.
What is 1.89 inches
A bag contains 5 red marbles, 8 green marbles, and 2 blue marbles. Find the probability of a red, then green marble without replacement.
What is 0.19
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time less than 1.25 minutes.
What is 1/4 or 0.25
Find the z-score that marks the 20th percentile.
What is -0.84
The weight of golden retrievers is normally distributed with a mean of 68 lbs. and a standard deviation of 10 lbs. Find the percentile for a dog that weighs 59 lbs.
What is 0.184
Amount of snowfall in January is normally distributed with a mean of 2.2 inches and a standard deviation of 0.8 inches. Find the top 5%.
What is 3.52 inches
In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that no more than 6 belong to an ethnic minority? Round to three decimal places.
What is 0.981
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes. Find the probability that a given class period runs between 51.5 and 51.75 minutes.
What is 0.025
What is the z-score for the top 15% of data?
What is 1.036
The length of Christmas movies is normally distributed with a mean of 100 minutes and a standard deviation of 19 minutes. Find the probability that a movie lasts between 105 minutes and 115 minutes.
What is 0.181
The weights of golden retriever puppies are normally distributed with a mean of 68 lbs. and a standard deviation of 8 lbs. What weight marks the top 10%?
What is 78.25 lbs