Unit 1
Unit 2
Unit 3
Unit 4
Miscellaneous
100
The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. Aaron Rogers is 6 feet 2 inches. What percentile does that place him at?
86th percentile
100
Your school counselor wants to see if he can predict a student’s first year college GPA (grade point average) based on their high school graduating GPA.
What is the explanatory variable in this study?
high school graduating GPA
100
Your high school wants to assess their student attitudes towards the new block schedule. The administration randomly selects 5 first block classes out of a possible 35 total first block classes and gives a survey to every student in the class. What type of sample is this an example of?
Cluster Sample
100
A jar has 10 candies. 5 are blue, 3 are red, and 2 are green. What is the probability of drawing two blue candies without replacing the first?
2/9 or .22
100
How do you identify outliers for univariate data?
Q1 - 1.5(IQR) and Q3 + 1.5(IQR) or 2 SD from the mean.
200
The area under the standard Normal curve corresponding to –0.3 < Z < 1.6 is...
0.563
200
What value of the correlation coefficient would indicate that there is no relationship between the X and Y variables?
0
200
You want to draw a sample of 5 unique numbers from a population of 50 numbers. The numbers are labeled 01, 02, . . . , 50, and the line in your table of random digits is:
11362 35692 96237 90842 46843
Starting from the first digit in the line, what 5 numbers do you draw for your sample?
11, 36, 23, 08, 42
200
Data is gathered on a randomly selected Saturday on the shoppers at Target. The probability that a shopper is drinking Starbucks is 25%, while the probability they have kids with them is 65%, and the probability that they have both is 15%. What is the probability that the shopper will not have Starbucks and not have kids with them?
25% or .25
200
When using a least squares regression line, what do you get by subtracting:
observed y - predicted y
The residual
300
The wait time at your local McDonald's varies according to a normal distribution, with a mean of 7 minutes and standard deviation of 1.35 minutes. Approximately what proportion of their wait times are over 9 minutes?
0.069
300
A least squares regression line was created to predict how many hours a flower would be fresh for based on the amount of sugar in its water. The equation is y = 180.8 + 15.8x.
What is the residual for a flower that had 2 tbsp of sugar and was fresh for 204 hours?
-8.4
300
Should college athletes be paid? Danica wanted to investigate this by sending out a survey to ask college athletes their opinion. She thinks that the division the athlete competes in might influence the responses so she first groups all NCAA athletes into DI, DII, and DIII. She randomly selected 50 DI athletes, 50 DII athletes, and 50 DIII athletes to complete the survey. What type of sampling method is this?
Stratified random sample
300
Event A occurs with probability 0.8. The conditional probability that event B occurs, given that A occurs, is 0.5. The probability that BOTH A and B occur is:
0.4
300
For any given problem on an Algebra 2 test, Ms. Gleit has a 28% chance of making a mistake on the answer key.
What is the probability that she correctly gets through four problems on the answer key before she makes a mistake?
.075
400
Calculate the z-score for a player that can lift 370 pounds.
2.4
400
How would you expect a residual plot to look if the model used to make it was a good fit for the data?
random/no pattern
400
What element of experimental design allows me to conclude cause and effect?
Random assignment to treatments
400
Suppose A and B are events with the given probabilities: P(A) = 0.62, P(B) = 0.44. and P(A and B) = 0.31. What is P(A or B)?
0.75
400
Which experimental design involves the random assignment of units to treatments which are carried out separately within each group of units known to be similar in some way that is expected to affect the responses?
Block design.
500
In an AP Biology class, the average score on a recent test is 79, with standard deviation 3.2.
If a student is in the 99th percentile, approximately what score did they receive on the test?
86.444
500
A least squares regression line is created for predicting the mass of a tree (in kg) given its diameter in cm. ln(y) = -2.00 + 2.42ln(x)
Estimate the mass of a tree that is 30cm in diameter.
508.263 kg
500
What is the term for systematically favoring some responses over others in a survey or an experiment?
Bias
500
A jar has 10 candies. 5 are blue, 3 are red, and 2 are green. What is the probability of drawing two candies that are the same color without replacing the first?
14/45 or .311
500
A least squares regression line is created for predicting the amount of caffeine ingested by a student on any given day given their reported hours of sleep the previous night.
If the correlation coefficient is .62, calculate and interpret r2
r2=.38
38% of variation in a student's caffeine intake is explained by the linear relationship with that student's hours of sleep.