Statistics- The singular form of the word dice is die
QUESTION
1. (1) The singular form of the word dice is
die. Tom was throwing a six-sided die. The first time he threw, he got a
three; the second time he threw, he got a three again. Whats the probability
of getting a three at the third time?
2.
(2) There are 30 table tennis balls in the box: 6
are green, 10 are red, and 14 are yellow. If you shake the box and then
randomly select one ball from the box, whats the probability that you will get
a red one:
3.
(3) Rachel was flipping a coin with Jerry. She told jerry: I am able to get
all heads in two tosses. Jerry laughed at her: No, the probability of getting
two heads at two tosses is only__
4.
(4) Jennie and Alex both wanted to get a
free ticket for a College Music concert. However, the concert staff told them
the tickets were limited. Twenty people wanted to attend the concert but only
10 free tickets were left. So the concert center staff decided to use a lottery
to decide who would receive the free tickets. Whats the probability of Jennie
and Alex both getting free tickets?
5.
(5) Laura and Melissa were playing dice. What the probability of Laura and
Melissa both getting a 6?
6.
(6) In a statistics class with 36 students, the
professor wanted to know the probability that at least two students share the
same birthday. The probability will be___
a.0.1
b.Much
smaller than 0.1
c.Much
bigger than 0.1
d.Not
possible
7.
(7) If you throw a die for two times,
what is the probability that you will get a one on the first throw or a one on
the second throw (or both)?
8.
(8) Jerry got a box full of colorful
candy balls. There were 50 of them: 20 red, 10 green, 12 yellow and 8 blue.
After shaking the box, he randomly selected 2 candy balls from the box. Whats
the probability that the first one was blue and the second one was yellow?
9.
(9) Jerry got a box full of colorful
candy balls. There were 50 of them: 20 red, 10 green, 12 yellow and 8 blue.
After shaking the box, he randomly selected 2 candy balls from the box. Whats
the probability that the first is blue and the second one is also blue?
10. (10)Which activity 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
11. (11) Many researchers have argued that the TB
skin test is not accurate. Imagine that the TB skin test is only 70% accurate.
Sarah is thinking about having the test. Before she has the test she wonders
the probability that she has TB. The probability of Sarah having TB is ¦
a. 70%
b. 35%
c. 30%
d. More information needed to calculate
12. (12) Imagine that the diabetic test
accurately indicates the disease in 95% of the people who have it. Whats the
miss rate?
13. (15)Which of the following is the probability that
subjects do not have the disease, but the test result is positive?
a.Miss
rate
b.False
positive rate
c.Base
rate
d.Disease
rate
14. (16)In a normal distribution, the median
is ____its mean and mode.
a.Approximately
equal to
b.Bigger
than
c.Smaller
than
d.Unrelated
to
15.
(17)In
a normal distribution, __ percentage of the area under the curve is within one
standard deviations of the mean?
a.68%
b.100%
c.95%
d.It
depends on the values of the mean and standard deviation
16. (18)A normal distribution with a mean of
15 and standard deviation of 5. 95% of its area is within__
a.One
standard deviation of the mean
b.Two
standard deviations of the mean
c.Three
standard deviations of the mean
d.It
depends on the value of the mode
17. (19)The mean of a standard normal distribution is:
a.0
b. 1.0
c. -1.0
d. 100
18. (20)The standard deviation of the mean
for a standard distribution is:
a. 0.0
b. 1.0
c. 100
d. 68%
19. (21) A normal distribution with a mean of 25
and standard deviation of 5. What is the corresponding Z score for a case
having a value of 10?
20. (20) Consider a normal distribution with a
mean of 25 and standard deviation of 4. Approximately, what proportion of the
area lies between values of 17 and 33.
a. 95%
b. 68%
c. 99%
d. 50%
21. (23) Consider a normal distribution with a
mean of 10 and standard deviation of 25. Whats the Z score for the value of
35?
22. (24)For a standard normal distribution,
whats the probability of getting a positive number?
a.50%
b.95%
c.68%
d.We
cannot tell from the given information
23. (27)Two-hundred students took a statistics class. Their
professor creatively decided to give each of them their Z-score instead of
their grade. Rachel got her Z-score of -0.2. She was wondering how well she did
on the exam.
a.It
was very good, much better than almost all of the other students
b.It
was so-so, but still better than half of the students.
c.It
was not that good, but not at the bottom of the distribution
d.It
was very bad and she needs to work much harder next time
24. (28)A researcher collected some data and
they form a normal distribution with a mean of zero. Whats the probability of
getting a positive number from this distribution?
a. 25%
b. 50%
c. 75%
d.We
need to calculate the standard deviation and then decide.
25. (29)Which of the following description
of distribution is correct?
a.A
Binomial distribution is a probability distribution for independent events for
which there are only two possible outcomes
b.You
cannot use the normal distribution to approximate the binomial distribution
c.Normal
distributions cannot differ in their means and in their standard deviations.
d.Standard
normal distributions can differ in their means and in their standard
deviations.
26. (30) A toy factory makes 5,000 teddy bears
per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy
bears and uses this sample to estimate the mean weight of teddy bears and the
sample standard deviation. How many degrees of freedom are there in the
estimate of the standard deviation?
27. (31)Imagine you have a population of
100,000 cases. For which of the following degrees of freedom is the closest
estimation of the population parameter?
a. 4
b. 6
c. 10
d. 1000
28.
(33)Imagine
that the average weight of a total of 500 girls in a high school is 35kg. Tom
randomly sampled 10 girls and measured their weight. And then he repeated this
procedure for three times. The means and standard deviations are listed as
following. Which sample estimate shows the least sample variability?
a.Sample
one: mean=34, SE=5
b.Sample
two: mean=30, SE=2
c.Sample
three: mean= 26, SE=3
d.Sample
four: mean= 38, SE=5
29. (36)For which of the following degrees
of freedom is a t distribution closest to a normal distribution?
a. 10
b. 20
c. 5
d. 1000
30. (37)In order to construct a confidence
interval for the difference between two means, we are going to assume which of
the followings? (Select all that apply)
a.The
two populations have the same variance.
b.The
populations are normally distributed.
c.Each
value is sampled independently from each other value.
d.The
two populations have similar means
31. (38) A researcher tries to compare grades
earned on the first quiz by boys and girls. He randomly chooses 10 students
from boys and 15 students from girls and calculates the confidence interval on
difference between means. How many degrees of freedom will you get in this t
distribution?
32. (39)Which of the following choices is
not the possible confidence interval on the population values of a Pearsons
correlation?
a.(0.3,
0.5)
b.(-0.7,
0.9)
c.(-1.2,
0.3)
d.(0.6,
0.8)
33.
(41)Which of the following descriptions
of the t distribution is correct? (Select all that apply)
a.With
smaller sample sizes, the t distribution is leptokurtic
b.When
the sample size is large (more than 100), the t distribution is very similar to
the standard normal distribution
c.With
larger sample sizes, the t distribution is leptokurtic
d.The
t distribution will never be close to normal distribution
34. (42)_________________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.Bias;
standard error
b.Sample
variability; Bias
c.Mean;
standard deviation
d.Standard
deviation; Mean
35. (43)Which of the following descriptions
of confidence intervals is correct?
a.Confidence
intervals can only be computed for the mean
b.We
can only use the normal distribution to compute confidence intervals
c.Confidence
intervals can be computed for various parameters
d.Confidence
intervals can only be computed for the population
ANSWER
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