1. An accounting
firm measured the blood pressures of ten of its certified public accountants
(CPAs) before and during the spring 1996 tax season. The systolic pressure for the ten individuals, designated A
through J, were as follows:
|
|
A
|
B |
C |
D |
E |
F |
G |
H |
I |
J |
|
Before |
110 |
124 |
98 |
105 |
115 |
120 |
118 |
110 |
123 |
95 |
During
|
115 |
126 |
97 |
108 |
115 |
124 |
119 |
113 |
121 |
96 |
Is there sufficient evidence
that blood pressure rises for CPAs during tax season?
2. Polychlorinated biphenyl (PCB) contamination of a river by a
manufacturer is being measured by amounts of the pollutant found in fish. A company scientist claims that the
fish contain only 5 parts per million, but an investigator believes the figure
is higher. Suppose a random sample
of six fish revealed the following levels of PCB: 6.8, 5.6, 5.2, 4.7, 6.3, and 5.4. Is there sufficient evidence that the fish are contaminated
above the stated level?
3. An employer wishes to compare typing speeds of graduates
from two different study programs.
A random sample of eight graduates from the first course type at: 62,
85, 59, 64, 73, 70, 75, and 72 words per minute. A random sample of six graduates from the second course type
at: 75, 64, 81, 55, 69, and 58 words per minute. Should the employer conclude that one program is better than
the other?
4. Suppose that your rival in the marketing department has what
you consider a dumb idea. Your
boss, who knows nothing about statistics, is relatively conservative but will
follow up on this dumb idea if there is good evidence that more than 25% of his
customers like it. A random survey
of 40 customers is taken and 12 of them favor the idea. Your rival, capable of sixth grade
math, points out that 12/40 = 30%.
Perform the significance test and explain to your boss why this data is
not strong evidence that more than 25% like the idea.