11 Grade Algebra

B_W8: QUIZ #1

Statistical Studies (10 questions)

1. Determine if the following situation is biased or unbiased:

500 students at a local high school are randomly chosen and asked what their favorite local restaurant is.

2. Which of the following situations would be considered biased?

3. Every 10th person at a shopping mall is asked what store they shop at the most each month. What type of sampling method does this describe?

4. Every student in a class has his/her name written on a card and placed in a bowl. The teacher selects one name from the bowl to receive a homework pass. What type of sampling method does this describe?

5. A politician's campaign staff surveys 1,000 random registered voters from the town of Algebraland to ask who the voters will be voting for in the upcoming election. What is the population?

6. A politician's campaign staff surveys 1,000 random registered voters from the town of Algebraland to ask who the voters will be voting for in the upcoming election. What is the sample?

7. Classify the following as quantitative or categorical:

Out of a class of 28 students, 47% are girls.

8. Classify the following as quantitative or categorical:

Dogs have four legs, are furry, and they bark.

9. A teacher wants to determine if a new method for teaching math helps her students perform better on their unit test. She uses the new teaching method with one of her classes and teaches the same way as always with her other class. She compares the scores of each class on the unit test to see if the new teaching method was effective. What type of study does this describe?

10. A teacher asks high school students how many hours they studied for a test and compares their responses to their test scores. What type of study does this describe?

B_W8: QUIZ #2

Statistics: Normal Distributions (15 questions)

Formulas to use for Quiz #2

1.

What is the variance of the following data? If necessary, round your answer to two decimal places. 600, 470, 170, 430, 300

2.

What is the standard deviation of the following data? If necessary, round your answer to two decimal places. 600, 470, 170, 430, 300

3.

What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20

4.

What is the standard deviation of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20

5.

The curve is symmetric about the _____________.

6.

What percentage of the data falls within 1 standard deviation of the mean?

7.

What percentage of the data falls within 2 standard deviation of the mean?

8.

The time required to finish a test in normally distributed with a mean of 40 minutes and a standard deviation of 8 minutes. What is the probability that a student chosen at random will finish the test in less than 48 minutes?

9.

The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scores more than 700 on the standardized test?

10.

If 1,000 students take a test that has a mean of 40 minutes, a standard deviation of 8 minutes, and is normally distributed, how many would you expect would finish in less than 40 minutes?

11.

The time required to finish a test in normally distributed with a mean of 40 minutes and a standard deviation of 8 minutes. What is the probability that a student chosen at random will finish the test between 24 and 48 minutes?

12.

If 1,000 students take a test that has a mean of 40 minutes, a standard deviation of 8 minutes, and is normally distributed, how many would you expect would finish in between 24 and 48 minutes?

13.

The average score on a standardized test is 750 points with a standard deviation of 50 points. If 2,000 students take the test at a local school, how many students do you expect to score between 700 and 750 points?

14.

Suppose you have a normally distributed set of data pertaining to a standardized test. The mean score is 1000 and the standard deviation is 200. What is the z-score of 1600 point score?

15.

Suppose you have a normally distributed set of data pertaining to a standardized test. The mean score is 1000 and the standard deviation is 200. What is the z-score of 450 point score?