REFERENCES

Dolciani, Mary P., et al., Algebra Structure and Method Book 1,Atlanta: HoughtonMifflin, 1979.

Naval Education and Training Command, Mathematics,Vo1:3, NAVEDTRA 10073-A, Washington, D.C.: Naval Education and Training Program Development Center, 1969.

Olivio, C. Thomas and Olivio, Thomas P., Basic Mathematics Simplified,Albany, NY: Delmar, 1977.

Science and Fundamental Engineering,Windsor, CT: Combustion Engineering, Inc., 1985.

Academic Program For Nuclear Power Plant Personnel,Volume 1, Columbia, MD: General Physics Corporation, Library of Congress Card #A 326517, 1982.

Standard Mathematical Tables,23³ Edition, Cleveland, OR CRC Press, Inc., Library of Congress Card #30-4052, ISBN 0-87819-622-6, 1975.

TERMINAL OBJECTIVE

1.0 SOLVE problems involving probability and simple statistics.

ENABLING OBJECTIVES

1.1 STATE the definition of the following statistical terms: a. Mean

b. Variance c. Mean variance

1.2 CALCULATE the mathematical mean of a given set of data.

1.3 CALCULATE the mathematical mean variance of a given set of data.

1.4 Given the data, CALCULATE the probability of an event.

TERMINAL OBJECTIVE

2.0 SOLVE for problems involving the use of complex numbers.

ENABLING OBJECTIVES

2.1 STATE the definition of an imaginary number.

2.2 STATE the definition of a complex number.

2.3 APPLY the arithmetic operations of addition, subtraction, multiplication, and division to complex numbers.

TERMINAL OBJECTIVE

3.0 SOLVE for the unknowns in a problem through the application of matrix mathematics.

ENABLING OBJECTIVES

3.1 DETERMINE the dimensions of a given matrix.

3.2 SOLVE a given set of equations using Cramer's Rule.

OBJECTIVES

TERMINAL OBJECTIVE

4.0 DESCRIBE the use of differentials and integration in mathematical problems.

ENABLING OBJECTIVES

4.1 STATE the graphical definition of a derivative.

4.2 STATE the graphical definition of an integral.

STATISTICS

This chapter will cover the basic concepts of statistics.

EO 1.1 STATE the definition of the following statistical terms:

a. Mean

b. Variance

c. Mean variance

EO 1.2 CALCULATE the mathematical mean of a given set of data.

EO 1.3 CALCULATE the mathematical mean variance of a given set of data.

EO 1.4 Given the data, CALCULATE the probability of an event.

In almost every aspect of an operator's work, there is a necessity for making decisions resulting in some significant action. Many of these decisions are made through past experience with other similar situations. One might say the operator has developed a method of intuitive inference: unconsciously exercising some principles of probability in conjunction with statistical inference following from observation, and arriving at decisions which have a high chance of resulting in expected outcomes. In other words, statistics is a method or technique which will enable us to approach a problem of determining a course of action in a systematic manner in order to reach the desired results.

Mathematically, statistics is the collection of great masses of numerical information that is summarized and then analyzed for the purpose of making decisions; that is, the use of past information is used to predict future actions. In this chapter, we will look at some of the basic concepts and principles of statistics.