Drawing Inferences (Two Sample)

STEP-BY-STEP EXPLANATION

1. Two machines fill bottles of water. Each machine performance is checked periodically testing bottles removed randomly from the production line and yield the following statistics:

MACHINE 1

MEAN - 203.56

SD- 3.56

NUMBER OF BOTTELS TAKEN - 40

MACHINE 2

MEAN - 200

SD- 2.02

NUMBER OF BOTTELS TAKEN - 50

Use the 6 steps procedure to arrive at a decision from a 0.01 alpha level.

Show test statistics solution

2. The attitudes toward obtaining an advanced college degree of fifteen undergraduate minority students were measured before and after they participated in a federally funded program designed to increase their awareness of the benefits of a higher degree. The higher the score, the more positive is the subject's attitude. Did attending the program significantly change their attitudes? Before 11 8 10 9 6 13 11 LO 12 11 12 6 7 12 6 After 17 14 9 18 6 16 12 7 15 16 20 14 7 20 123. A large group of learning - disabled college freshmen experiencing debilitating anxiety before major tests were matched on an index of test anxiety. Members of these matched pairs were randomly assigned to two different groups. The first group was given two weeks of relaxation exercises (Relax). The second group of students was given two weeks of study skills training (Study). Using the data below determine if there is a significant difference between their final exam scores. Relax (X1) 46 49 47 48 50 52 48 47 46 49 42 Study (X2) 50 49 51 52 50 48 52 47 50 52 53