MA 206 Course Review

Question 1

A 95% CI is _______ than a 99% confidence interval for the same sample?

Accepted Answer

smaller

Question 2

If f(x) = 1/8 + 3/8*x when 0≤x≤2, what is the cdf along the same range?

Accepted Answer

x/8+3*x2/16

Question 3

The main reason you should use a Paired Hypothesis Test is:

Accepted Answer

The same entity is measured twice

Question 4

What is the expected value of X?

Accepted Answer

2.1

Question 5

Which predictor variable has the most evidence to suggest that the coefficient is zero?

Accepted Answer

fem

Question 6

Based on the below Venn Diagram and Given P(A) = 0.3: What is P(C ∩ B ∩ A')?

Accepted Answer

0.05

Question 7

Do you think a LINEAR regression model would be appropriate for the plot?

Accepted Answer

No

Question 8

Given: μx = 3, σx = 0.3, n = 100. What is the distribution and parameters of the sample mean?

Accepted Answer

N(3, 0.03)

Question 9

Based on the below tree: The value of 0.1250 represents what?

Accepted Answer

P(B'∩A)

Question 10

Which of the following distributions are used for discrete random variables?

Accepted Answer

Binomial

Question 11

What proportion of variability in the response can be attributed to the model?

Accepted Answer

.7456

Question 12

Given: P(A) = 1/2, P(B) = 13/16, & P(A ∩ B) = 3/8 ... Are A and B independent?

Accepted Answer

No

Question 13

What is a residual?

Accepted Answer

The observed response minus the predicted response

Question 14

As n increases, the standard error _________

Accepted Answer

decreases.

Question 15

A 4-sided die is rolled twice. Event A occurs when the sum of the two rolls is ≥ 4. Find P(A).

Accepted Answer

13/16

Question 16

You conduct a 2-tailed test from that same experiment. Does your conclusion stay the same?

Accepted Answer

No

Question 17

Given an α=0.05, what would be your response to this one tailed hypothesis test?

Accepted Answer

Reject the Null

Question 18

P(A|B)=P(A) if events A and B are independent.

Accepted Answer

TRUE

Question 19

The blue shaded region is defined as what?

Accepted Answer

C ∩ B ∩ A'

Question 20

Let X be a uniform R.V. If E(X) = 5 and F(8)=.75, what is the minimum value of X?

Accepted Answer

-1

Questions 20