Probability and Statistics Final Exam Study
Guide.
Central Limit
Theorem
1. The says that as the sample
size (n) increases without limit, the shape of
the distribution of the sample means taken
with replacement from a population with
mean (µ) and standard deviation (σ) will
approach a normal distribution.
2. Given μ = 50 and σ = 2.3, convert x = 57 to a z-score. 3.04
3. A student takes an 8-question true/false test what is
and guesses on each question. What is the P(z >
probability of passing if the lowest passing 2.09)?
grade is 5 out of 8?
7. The
4. Using the standard normal distribution table, probability
the crit- ical value (or values) for a two-tailed that
test with α = 0.05 is 1.65. TRUE OR FALSE federal
income
5. If 80% of the people in a community use the tax
library in one year, find the probability that returns
exactly 3 people out of a sample of 5 use the will have
library. 0, 1, or 2
errors is
6. Using the standard normal distribution table,
, Probability and Statistics Final Exam Study
Guide.
0.43, 0.24, and 0.33, respective- ly. What is the 0.363
probability that exactly 2 errors occur?
False
0.205
0.0183
0.33
8. The probability of committing a type I error is symbol- False
ized by β. TRUE OR FALSE
9. When two events can occur at the same time, they are not
mutually exclusive
said to be .
10. y = 0.738x - 0.144
, Probability and Statistics Final Exam Study
Guide.
A study was conducted to determine if there was a
relationship between the prices a non-
member of
a club paid for various publications and the
prices that a member paid for the same
publications.
Data are provided below.
Nonmember Price (x) 45 38 35 30 27 78 40 65
Member Price (y) 30 25 25 20 18 55 40 50
What is the equation of the line of best fit?
Y= ?x + ?
11. What is the mean of the following probability distribu- 1.95
tion?
X0123
P(x) 0.1 0.25 0.25 0.4
12. The square of the standard deviation is Variance
called
.
13. The failure rate for taking the bar exam in
Philadelphia 43% is 43%. If 500 people take the
Guide.
Central Limit
Theorem
1. The says that as the sample
size (n) increases without limit, the shape of
the distribution of the sample means taken
with replacement from a population with
mean (µ) and standard deviation (σ) will
approach a normal distribution.
2. Given μ = 50 and σ = 2.3, convert x = 57 to a z-score. 3.04
3. A student takes an 8-question true/false test what is
and guesses on each question. What is the P(z >
probability of passing if the lowest passing 2.09)?
grade is 5 out of 8?
7. The
4. Using the standard normal distribution table, probability
the crit- ical value (or values) for a two-tailed that
test with α = 0.05 is 1.65. TRUE OR FALSE federal
income
5. If 80% of the people in a community use the tax
library in one year, find the probability that returns
exactly 3 people out of a sample of 5 use the will have
library. 0, 1, or 2
errors is
6. Using the standard normal distribution table,
, Probability and Statistics Final Exam Study
Guide.
0.43, 0.24, and 0.33, respective- ly. What is the 0.363
probability that exactly 2 errors occur?
False
0.205
0.0183
0.33
8. The probability of committing a type I error is symbol- False
ized by β. TRUE OR FALSE
9. When two events can occur at the same time, they are not
mutually exclusive
said to be .
10. y = 0.738x - 0.144
, Probability and Statistics Final Exam Study
Guide.
A study was conducted to determine if there was a
relationship between the prices a non-
member of
a club paid for various publications and the
prices that a member paid for the same
publications.
Data are provided below.
Nonmember Price (x) 45 38 35 30 27 78 40 65
Member Price (y) 30 25 25 20 18 55 40 50
What is the equation of the line of best fit?
Y= ?x + ?
11. What is the mean of the following probability distribu- 1.95
tion?
X0123
P(x) 0.1 0.25 0.25 0.4
12. The square of the standard deviation is Variance
called
.
13. The failure rate for taking the bar exam in
Philadelphia 43% is 43%. If 500 people take the
