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quiz_2_stat.pdf
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Quiz 2 (8 points per question; maximum score 80 points for Quiz 2. If the solution for a problem
requires several logical steps, you must show your work to get full credit.)
1. Jerry got a box full of colorful candy balls. There were 100 of them: 36 red, 20 green,
28 yellow and 16 blue. After shaking the box, he randomly selected 2 candy balls from
the box. What’s the probability that the first one was blue and the second one was
yellow?
2. Select all the correct answers below
a. P(A|B)=P(A) if A and B are independents
b. P(A and B)=P(A)+P(b)-P(A, or B), for any events A, B.
c. P(A|B)=P(A and B)/P(B), for any events A, B.
d. P(A and B)=P(A)*P(B), for any events A, B.
e. P(A or B)=P(A)+P(B)-P(A and B), for any events A, B.
3. Which one of the following activities could probabilities be computed using a Binomial
Distribution?
a. Flipping a coin a 100 times
b. Throwing a die one hundred times
c. The probability of getting a heart while playing card games
d. Grades earned by 100 students on a statistics final exam
4. In a normal distribution, __ percentage of the area under the curve is within one standard
deviations of the mean?
a.
b.
c.
d.
68%
100%
95%
It depends on the values of the mean and standard deviation
5. For a standard normal distribution N(0, 1), what’s the probability of getting a positive number?
a.
b.
c.
d.
50%
95%
68%
We cannot tell from the given information
6. For a normal distribution with a mean of 16 and standard deviation of
2, what’s the probability of getting a number greater than 20?
7. A researcher tries to compare grades earned on the first quiz by boys
and girls. He randomly chooses 10 students from boys and 12 students
from girls and calculates the confidence interval on difference
between means. How many degrees of freedom will you get in this t
distribution?
8. _________________refers to whether or not an estimator tends to overestimate or
underestimate a parameter. ______________refers to how much the estimate varies
from sample to sample.
a.
b.
c.
d.
Bias; standard error (i.e., sample variability)
Sample variability; Bias
Mean; standard deviation
Standard deviation; Mean
9. You read about a survey in a newspaper and find that 70% of the 250 people
sampled prefer Candidate A. You are surprised by this survey because you
thought that more like 50% of the population preferred this candidate. Based on
this sample, is 50% a possible population proportion?
10. The data, x1, x2, …, xn ,are random smples taken from N ( , 2 ) where
is the population mean, and 2 is the population variance.
Select all correct answers from the following:
1 n
a. x
xi is an estimate of the parameter .
n 1 i 1
s
b.
1 n
( xi x) 2 is an estimate of the parameter .
n 1 i 1
s
is the standard deviation of x. s is given in (b).
n
s
is the standard deviation of x. s is given in (b).
n 1
c.
d.
a.
Which of the following appropriately describes standard error of the mean?
a.
b.
c.
d.
Standard error is the square root of the variance of the population
Standard error is the square root of the sample standard deviation
Standard error is the standard deviation of the sampling distribution of the mean
Standard error is a measure of population skewness.
…
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