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Stat 100 ExamlA Spring 2005
Calculators allowed All work must be shown to receive full credit.
1. A sample of6 temperatures in °c were recorded as follows: -2.1, 1.0, -1.4, -3.2, 0.0, -2.3.
a) (8 pts) Calculate the mean and median temperatures.
b) (8 pts) Calculate the range and standard deviation.
c) (4 pts) Make a stem-leaf display.
2. For the following 4 pairs of values:
a) (S pts) plot a scatter diagram
b) (10 pts) calculate the equation of the regression line and draw it on the scatter diagram
indicating 2 points on the line.
c) (5 pts) calculate the correlation coefficient and explain what it indicates for this data.
x 0 1 6 3
Y 5 4 1 3
3. A box contains four 75-Watt bulbs and six 100-Watt bulbs. Two bulbs are selected at
random successively without replacement. Let the events A = a 75-Watt bulb is selected first,
and B = a 100-Watt bulb is selected second.
a) (5 pts) Find peA).
b) (5 pts) Find PCB).
c) (S pts) Are A and B independent? JustifY your answer.
d) (...

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