Statistics, Data, and Math Reasoning Quiz

The "bell curve" is also called A. normal distribution. B. random distribution. C. sampling distribution. D. non-linear distribution.

A. normal distribution.

In order to find out how people felt about disco music, you would conduct a survey A. outside a grocery store. B. of people who worked at a radio station. C. during the intermission of an opera. D. outside a nightclub.

A. outside a grocery store.

How many different ways can the letters in the word "bolt" be arranged? A. 4 B. 24 C. 36 D. 48

B. 24 Solving problems like this one calls for calculating the factorial of n. In other words, there are four letters in the word "bolt," so (4)(3)(2)(1) = 24. The factorial is the product of all positive integers less than and equal to n, and is written n!.

What is the mode of the given number set? 3, 5, 6, 6, 7, 7, 7, 23 A. 3 B. 7 C. 6 D. 23

B. 7

The foreman at the local factory has decided to purchase an additional machine so that the possibility of his production lines stopping due to mechanical failure is very small. His current machine has a failure rate of 20%, and the new machine that he will purchase has a failure rate of only 5%. In a work cycle of 10,000 hours per year, how many hours can he save by adding the new machine? A. 500 hours B. 1,000 hours C. 1,500 hours D. 1,900 hours

D. 1,900 hours The current machine has a 20%, or 0.20, probability of failure. The new machine has a probability of failure of 5%, or 0.05. These two machines are independent of each other, therefore the likelihood that both machines will fail at the same time is 0.05(0.20) = 0.01. The original machine, with a 20% failure rate, would cost the foreman 2,000 hours per year. Adding the second machine will only cost him 100 hours per year. Therefore, the foreman saves 1,900 hours each year.

Deductive reasoning can be defined as A. Making an inference where the conclusion is more general than the premises. B. An educated guess supported by facts. C. Basing an assumption on an assumed truth. D. Making an inference where the conclusion is more specific than the premises.

D. Making an inference where the conclusion is more specific than the premises.

Which of the following places the math lessons in the proper order? A. Properties of polygons . . . Formula for the area of a square . . . Introduction to variables B. Introduction to variables . . . Formula for the area of a square . . . Properties of polygons C. Formula for the area of a square . . . Properties of polygons . . . Introduction to variables D. Properties of polygons . . . Introduction to variables . . . Formula for the area of a square

D. Properties of polygons . . . Introduction to variables . . . Formula for the area of a square In this case, explaining the basics of a polygon should be the first lesson, followed by a discussion about variables, and then the concept and formula of area.