STATS
200 Homework Week 5- New
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1)
Suppose that the distance of fly balls hit to the
outfield (in baseball) is normally distributed with a mean of 250 feet and a
standard deviation of 50 feet. We randomly sample 49 fly balls.
- If X ¯ = average distance in feet
for 49 fly balls, then X ¯ ~
_______(_______,_______)
- What is the
probability that the 49 balls traveled an average of less than 240 feet?
Sketch the graph. Scale the horizontal axis for X ¯ . Shade the region
corresponding to the probability. Find the probability.
- Find the
80th percentile of the distribution of the average of 49 fly balls.
2)
Which of the following is NOT TRUE about the
distribution for averages?
a. The mean, median, and mode are
equal.
b. The area under the curve is
one.
c. The curve never touches the x-axis.
d. The curve is skewed to the
right.
3)
A typical adult has an average IQ score of 105 with
a standard deviation of 20. If 20 randomly selected adults are given an IQ tests,
what is the probability that the sample mean scores will be between 85 and 125
points?
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