Practice final exam 1

Events $A$ and $B$ are:

• A Mutually exclusive.
• B Independent.
• C Mutually exclusive and independent.
• D Neither mutually exclusive nor independent.

Find $P\left(A\right|B)$

• A $\frac{2}{4}$
• B $\frac{16}{144}$
• C $\frac{4}{16}$
• D $\frac{2}{144}$

Which of the following are TRUE when we perform a hypothesis test on matched or paired samples?

• A Sample sizes are almost never small.
• B Two measurements are drawn from the same pair of individuals or objects.
• C Two sample means are compared to each other.
• D Answer choices B and C are both true.

Find the probability that a randomly chosen student is male or has a bedroom painted with light colors.

• A $\frac{10}{118}$
• B $\frac{68}{118}$
• C $\frac{48}{118}$
• D $\frac{10}{48}$

Find the probability that a randomly chosen student is male given the student’s bedroom is painted with dark colors.

• A $\frac{30}{118}$
• B $\frac{30}{48}$
• C $\frac{22}{118}$
• D $\frac{30}{52}$

Find the probability that a teenager is reminded 2 times.

• A 8
• B $\frac{8}{40}$
• C $\frac{6}{40}$
• D 2

Find the expected number of times a teenager is reminded to do his/her chores.

• A 15
• B 2.78
• C 1.0
• D 3.13

For every 22 cars, how many would you expect to be parked crookedly, on average?

• A 8.25
• B 11
• C 18
• D 7.5

What is the probability that at least 10 of the 22 cars are parked crookedly.

• A 0.1263
• B 0.1607
• C 0.2870
• D 0.8393

Using a sample of 15 Stanford-Binet IQ scores, we wish to conduct a hypothesis test. Our claim is that the mean IQ score on the Stanford-Binet IQ test is more than 100. It is known that the standard deviation of all Stanford-Binet IQ scores is 15 points. The correct distribution to use for the hypothesis test is:

• A Binomial
• B Student's-t
• C Normal
• D Uniform