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Empirical Rule
z-scores
Types of Studies
Sampling Methods/Vocabulary
Misc.
100

What are the 4 numbers you need to know in order to fill in the Empirical Rule?

34, 13.5, 2.35, .15

100
The mean score for a chapter test in a math class was 86 with a standard deviation of 5. Find the probability that a test taker scored below an 80.
What is 0.1151?
100

A researcher wants to evaluate the effect of drinking coffee on sleep habits. He randomly chooses 100 people and asks whether they are coffee drinkers and how many hours of sleep they get each night.

Survey

100

What type of sampling method: Interview every 10th student who enters the school in the morning. 

What is systematic?

100

What is the probability that a score is below a z-score of 0.73?


.7673

200

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

What is 68%

200
The mean score for a chapter test in a math class was 86 with a standard deviation of 5. Find the probability that a test taker scored above a 70.
What is 0.9993?
200
A clinical trial is set up to compare a proposed new drug with a placebo. 50 patients are recruited, and we randomly select 25 of them to receive the new drug, the rest receiving the placebo. After some period of time the two groups are compared to see whether the group receiving the new drug has recovered from the disease under the study. This is an example of _________.
What is an experiment?
200

Population or Sample?

A quality control engineer is curious about the thickness of paint on a car at her factory. She randomly selects 30 points on the car and measures the paint thickness at each of those points.

What is sample?

200

A random sample of 150 Vermont High School seniors reveals that 60% plan to take the ACT this year.  Use the margin of error to predict the actual proportion of seniors planning to take the exam.

Is the data quantitative or categorical?

Categorical

300


Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 




13.5%

300
As reported by the college board, the normally distributed mean math score for the SAT is 518 with a standard deviation of 115. Find the percent of SAT math scores that are less than 500.
What is 43.64%?
300

Researchers visiting public high schools found that 75% of students used computers in their classroom work at least once a week. The researchers visited a total of 50 schools in 15 states.

Observational Study

300

What type of Sampling Method: Political webpages often allow readers to rate (if they want to) whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of: 

What is self-selected?

300

A sample of 121 high school seniors were surveyed on their level of school spirit on a scale of 0-100. The sample mean of this survey is 86. The known population standard deviation is 14 for all seniors in the class. Calculate the margin of error and, create an interval for the population mean?

What is [83.5, 88.5] 

400


At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?




4.1 or higher

400
As reported by the college board, the normally distributed mean reading score for the SAT is 503 with a standard deviation of 113. Find the percent of SAT math scores that are greater than 500.
What is 48.8%?
400

In your math class your teacher asks you to collect data on the approval rating of the president of the United States. You decided to ask the students in the cafeteria the following question "Do you approve of the way the president is handling his job?" This method of collection is an example of a ____________.

What is survey?

400
A subset of a population.
What is sample?
400
When collecting data, randomization is important because you don't want to introduce ______ into the data set.
What is bias?
500

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, how many standard deviations away from the mean is a teenage male with a 33 inch waist.  

What is -2

500

The weight of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. Find the probability that the weight of a randomly selected male beagle is between 23 and 25 pounds.

What is 0.2486?

500
A study in California showed that students who study a musical instrument have higher GPAs than students who do not, 3.59 to 2.91. Of the music students, 16% had all As, compared with only 5% among the students who did not study a musical instrument. This is an example of _____________.
What is observational study?
500
Every item has the same chance of being chosen.
What is SRS (simple random sample)?
500

What is the z-score that corresponds to 80.23% of the data to the left?

.85