STATISTICS AND PROBABILITY

All of the following increase the width of a confidence interval except:

• Increased confidence level

• Increased variability

• Increased sample size

• Decreased sample size

The statement that “𝑃(𝐴|𝐵) = 𝑃(𝐵|𝐴) whenever 𝐴 and 𝐵 are independent events” is: Please select the best answer of those provided below.

• Always True

• Never True

• Not Enough Information; we would need to know if 𝐴 and 𝐵 are disjoint events

• Not Enough Information; we would need to know if the events are equally likely

The p-value in hypothesis testing represents which of the following: Please select the best answer of those provided below.

• The probability of failing to reject the null hypothesis, given the observed results

• The probability that the null hypothesis is true, given the observed results

• The probability that the observed results are statistically significant, given that the null hypothesis is true

• The probability of observing results as extreme or more extreme than currently observed, given that the null hypothesis is true

Assume that the difference between the observed, paired sample values is defined in the same manner and that the specified significance level is the same for both hypothesis tests. Using the same data, the statement that “a paired/dependent two sample t-test is equivalent to a one sample t-test on the paired differences, resulting in the same test statistic, same p-value, and same conclusion” is:

• Always True

• Never True

• Sometimes True

• Not Enough Information

Note for this question that the odds in favor of an event 𝐴 are defined as follows: 𝑃(𝐴) 1−𝑃(𝐴) For fraternal twins, the odds in favor of having children that are twins are 1 16 . Based upon this information, what is the probability of a fraternal twin not having children that are twins?

• 1/16

• 15/16

• 1/17

• 16/17

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A male surgeon

• 0.39

• 0.58

• 0.19

• 0.68

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A female, but not a surgeon

• 0.42

• 0.29

• 0.13

• 0.19

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A surgeon OR female

• 0.52

• 0.81

• 1.10

• 0.58

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

You roll 2 six-sided dice. What is the probability that the first one is a 1, and the second one is an even number?

•  $\frac{1}{6}=0.1\overline{6}$  

•  $\frac{7}{6}=1.1\overline{6}$  

•  $\frac{2}{3}=0.\overline{6}$  

•  $\frac{1}{12}=0.08\overline{3}$  

You roll 2 six-sided dice. What is the probability that the first die is odd and the second one is even?

• $\frac{1}{2}=0.5$

• $\frac{1}{4}=0.25$

• $1$

• $\frac{1}{3}=0.\overline{3}$