1) Since 1900, the magnitude of earthquakes that measure 0.1 or higher on the Richter Scale in
California is approximately normal with a mean of 6.2 and standard deviation of 0.5, according
to the data obtained from the U. S. Geological Survey.
a)
What is the probability that a randomly selected earthquake in California has a magnitude
of 6.0 or higher?
b)
What is the probability that a sample of 35 earthquakes over a certain period of time has
an average magnitude between 5.8 and 7.1?
2) In the Spacelab Life Sciences 2 payload, 14 male rats were sent to space.
Upon their return,
the red blood cell mass (in milliliters) of the rats was determined.
A control group of 14 male
rats was held under the same conditions (except for space flight) as the space rates and their red
blood cell mass was also determined.
The projected resulted in the following data.
Flight Group
Control Group
8.59, 8.64, 7.43, 7.21, 6.87, 7.89, 9.79,
6.85, 7.00, 8.80, 9.30, 8.03, 6.39, 7.54
8.65, 6.99, 8.40, 9.66, 7.62, 7.44, 8.55,
8.70, 7.33, 8.58, 9.88, 9.94, 7.14, 9.14
a)
Find the sample mean for the flight group.
7.880714
b)
Find the sample median for the flight group.
7.715
c)
Find the sample standard deviation for the flight group.
1.017451
d)
Create a box plot for each of the groups.
Milileters
Control
Flight
10
9
8
7
6
Boxplot of Flight, Control
Milliliters