Final MA131 Fall 2005 - JustAnswer



Final MA120 -Form1 Name __________________________________

Core Assessment for MA120 Basic Concepts of Statistics

This exam is OPEN notes and CLOSED book.

In the blank before each question indicate the correct answer (A, B, C, or D). Use the answer sheet at the end of the exam and transfer your answers CAREFULLY. Check them twice! DO NOT USE A COMPUTER. If you are offered a computer, even to type your answers, please decline and ask the proctor to print the exam so you may take it by hand. Failure to follow these instructions may result in failure of the final exam. Some of the question will require z scores…use the following table:

SELECTED VALUED FROM THE STUDENT z Table (A2) FROM YOUR TEXT

|z |.04 |.05 |.06 |.07 |.08 |

|1.4 |.9251 |.9265 |.9279 |.9292 |.9306 |

|1.5 |.9382 |.9394 |.9406 |.9418 |.9429 |

|1.8 |.9671 |.9678 |.9686 |.9693 |.9699 |

|1.9 |.9738 |.9744 |.9750 |.9756 |.9616 |

|2.0 |.9793 |.9798 |.9803 |.9808 |.9812 |

Compute the mean, median, mode, and standard deviation for a sample of 8 to 12 data.

_____1. Evaluate the mean for the following data set: 2.5, 2.6, 3.1, 3.3, 3.4, 3.4, 3.4, 3.5, 3.8, 3.8, 4.0, and 4.0

a. 3.398 b. 3.4 c. 3.44 d. answer not listed

_____2. Evaluate the median for the following data set: 2.5, 2.6, 3.1, 3.3, 3.4, 3.4, 3.4, 3.5, 3.8, 3.8, 4.0, and 4.0

a. 3.3 b. 3.4 c. 3.5 d. answer not listed

_____3. Evaluate the mode for the following data set: 2.5, 2.6, 3.1, 3.3, 3.4, 3.4, 3.4, 3.5, 3.8, 3.8, 4.0, and 4.0

a. 3.4 b. 3.8 c. 4.0 d. answer not listed

_____4. Evaluate the standard deviation for the following data set: 2.5, 2.6, 3.1, 3.3, 3.4, 3.4, 3.4, 3.5, 3.8, 3.8, 4.0, and 4.0

a. 0.47 b. 0.88 c. 0.49 d. answer not listed

_____5. What is unique about the data set in problems 1-3?

a. The data are distributed normally b. The data are skewed

c. The standard deviation is normal d. answer not listed

_____6. Chebyshev’s Theorem tells us that ____ of all values lie within ___ standard deviations of the mean, and ____ of all values lie within ___ standard deviations of the mean.

a. 68%, 1, 95%, 2 b. 75%, 2, 89%, 3 c. 95%, 2, 99%, 3 d. not listed

Compute the mean and standard deviation of a grouped frequency distribution with 4 classes.

Use the following distribution for problems 7and 8:

Daily High Temp. Frequency

91-95 5

96-100 10

101-105 9

106-110 4

_____7. Calculate the mean.

a. 100.1 b. 101.4 c. 104.1 d. answer not listed

_____8. Calculate the standard deviation.

a. 125.64 b. 4.65 c. 2.16 d. answer not listed

Compute the probabilities (below you will use one of the following rules for each problem: additive rule, multiplication rule, complements, and combinations).

_____9. The data in the following table summarizes blood groups and Rh types for 100 typical people. If one person is randomly selected, find the probability of getting someone who is group AB or type Rh+. In other words find P(AB or Rh+).

|Type |O |A |B |AB |

| Rh+ |33 |31 |13 |3 |

| Rh- |7 |9 |3 |1 |

a. 79% [pic] b. 81% c. 84% d. answer not listed

____10. A new computer owner creates a password consisting of two characters. She randomly selects a letter of the alphabet for the first character and a digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) for the second character. What is the probability that her password is “C2”?

a. 1/2.6 b. 1/36 c. 1/260 d. answer not listed

____11. If a couple plans to have 9 children what is the probability that there will be at least one boy? Assume boys and girls are equally likely.

a. 100% b. 8.5/9 c. ≈0.998 d. answer not listed

____12. Find the probability of winning a lottery with the following rule: Select the six winning numbers from 1, 2, …. 38. (In any order. No repeats.)

a. 1/2,760,681 b. 1/1,345,325 c. 1/500,456 d. answer not listed

Compute probabilities associated with a binomial random variable associated with a practical situation.

____13. What are the four requirements for a binomial probability distribution? The number of trials are ____ and ____. All outcomes must satisfy____ outcome(s). And the probability of success remains the same in all trials. (pick the answer below that properly completes the paragraph above).

a. fixed, dependent, two b. fixed, independent, two

c. fixed, independent, one d. answer not listed

____14. Jury Selection. In the case of Castaneda v. Partida it was noted that although 80% of the population in a Texas county is Mexican-American, only 39% of those summoned for grand juries were Mexican-American. Let’s assume that we need to select 12 jurors from a population that is 80% Mexican-American, and we want to find the probability that among 12 randomly selected jurors, exactly 7 are Mexican-Americans. Please identify the values of n, x, p and q.

a. n = 12, x = 7, p = 0.8, q = 0.2 b. n = 7 x = 12, p = 0.8, q = 0.2 c. n = 12, x = 7, p = 0.2, q = 0.8 d. n = 7, x = 12, p = 0.2, q = 0.8

____15. Use the binomial probability formula to find the probability of getting exactly 7 Mexican-Americans, P(7), when 12 jurors are randomly selected from a population that is 80% Mexican-American.

a. .1897 b. .5346 c. .0532 d. answer not listed

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