Q: Based on the Franklin Township party registration table, are the events 'is a male' and 'is registered for Party Y' independent?

No, because $$P( ext{male}) \times P( ext{Party Y}) \neq P( ext{male and Party Y})$$

Question 1

Based on the histogram showing the number of minutes needed by 45 students to finish playing a short game, which statement best describes the shape of the distribution?

Accepted Answer

The distribution is skewed to the right.

Question 2

Refer to the histogram of waiting times for 175 patients in a dentist's office. Which of the following could be the median of the waiting time, in minutes?

Accepted Answer

7.25

Question 3

Given the scatterplot of points (1,1), (3,4), (4,7), (6,5), and (8,8), what is the residual for the point (4,7) if the least squares regression line is $$\hat{y} = 1.3 + 0.73x$$?

Accepted Answer

$$2.78$$

Question 4

Joe and Matthew make their decisions independently when visiting a bookstore. What is the probability that they will purchase no books on this visit?

Accepted Answer

$$0.0625$$

Question 5

Based on the table of allergy treatment outcomes, what is the relative frequency of successful treatments at Clinic A?

Accepted Answer

$$\frac{88}{139}$$

Question 6

Using the apartment building diagram, which sampling method would best ensure representation of apartments with and without children?

Accepted Answer

Stratified random sampling by presence of children

Question 7

Given the dotplot and table of hospital length of stay, what is the five-number summary for the distribution?

Accepted Answer

$$5, 6, 7, 9, 21$$

Question 8

Using the dotplots for reduction in blood pressure, which group has a higher median reduction?

Accepted Answer

The dark chocolate group

Question 9

Given the table of speed and strength for Players A and B, what is the z-score for Player A's 40-yard running time? Use $$\mu = 4.60$$ and $$\sigma = 0.15.$$

Accepted Answer

$$-1.20$$

Question 10

Based on the regression line $$	ext{predicted mass} = -546 + 6.086 	imes 	ext{length}$$ for bullfrogs, what does the slope represent?

Accepted Answer

The predicted mass increases by 6.086 grams for each additional millimeter in length.

Question 11

Given the probability distribution for the number of ATMs working when the mall opens, what is the expected value of the number of ATMs working?

Accepted Answer

$$2.03$$

Question 12

Based on the Franklin Township party registration table, are the events 'is a male' and 'is registered for Party Y' independent?

Accepted Answer

No, because $$P(	ext{male}) 	imes P(	ext{Party Y}) 
eq P(	ext{male and Party Y})$$

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