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AP Stat First Semester Review

Total questions: 15

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican? 
a)
a) 0.9865
b)
b) 0.2275
c)
c) 0.0725
d)
d) 0.0135
2.

A company wanted to determine the child care costs of its employees. A sample of 25 employees were interviewed and their child care expenses for the previous year were determined. Later, the company discovered that the highest expense in the sample was mistakenly recorded as 5 times the actual amount. However, after correcting the error, the correct amount was still greater than or equal to any other expense in the sample. Which of the following sample statistics must have remained the same after the correction was made?

a)

variance

b)

mean

c)

mode

d)

range

e)

median

3.

A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?

a)

Approximately the median distance between the individual salaries of employees and the mean of every employee's salary.

b)

The amount of money separating the highest salary from the lowest salary when considering the middle 50% of the distribution.

c)

The amount of money separating the highest salary from the lowest salary when considering all employees.

d)

The distance between the salary of an employee and the mean salary of all the employees.

e)

Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries.

4.

The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?

a)

-0.15

b)

0.15

c)

1

d)

0.62

e)

0.85

5.

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to

a)

63

b)

67

c)

66

d)

72

e)

70

6.

Andrea's doctor told her that the standardized score (z-score) for her systolic blood pressure, as compared to the blood pressure of other women her age, is 1.75. Which of the following is the best interpretation of this standardized score?

a)

Andrea's systolic blood pressure is 175.

b)

Andrea's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure of women her age.

c)

Andrea's systolic blood pressure is 1.75 above the average systolic blood pressure of women her age

d)

Only 1.75% of women Andrea's age have a higher systolic blood pressure than she does.

e)

Andrea's systolic blood pressure is 1.75 times the average systolic blood pressure of women her age.

7.

At a college the scores on the Spanish final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the Humanities final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the Spanish final and 84 on the Humanities final. Relative to the students in each respective class, in which subject did this student do better?

a)

The student did better in Spanish.

b)

The student did better in Humanities.

c)

There is no basis for comparison, since the subjects are different from each other and are in different departments.

d)

The student did equally well in each course.

e)

There is not enough information for comparison.

8.

A manufacturer makes light bulbs and claims that their reliability is 93 percent. Reliability is defined to be the proportion of non-defective items that are produced over the long term. If the company's claim is correct, what is the expected number of non-defective light bulbs in a random sample of 2,000 bulbs?

a)

1350

b)

1860

c)

93

d)

140

e)

2000

9.

What can be used to show a cause-and-effect relationship between two variables?

a)

A controlled experiment

b)

A census

c)

An observational study

d)

A cross-sectional study

e)

A sample survey

10.

The boxplots summarize two data sets, 1 and 2. Which of the following must be true?

I. Class #2 contains more data than Class #1.

II. The box of Class #2 contains more data than the box of Class #1.

III. The data in Class #1 has a smaller range than the data in Class #2.

a)

I only

b)

I and III only

c)

I and II only

d)

I, II, and III

e)

III only

11.
Which is the best description of the y - intercept for the linear regression equation of the rats: Weight = 100 + 40(Time)?
a)
The y-intercept is 100, which means the rat is predicted to weigh 100 grams at birth. 
b)
The y-intercept is 100, which is where the graph crosses the y-axis. 
c)
100 is where the data starts on the y-axis. 
d)
The y-intercept is 100, which means at a weight of 0, the rat will take 100 seconds.
12.
Interpret the slope of the Least Squares Line Equation.
a)
Income increases by 31.45 with each additional 2 hours worked.
b)
Income increases by 31.45
c)
As hours increases by one, income will increase by 31.45.
d)
As hours increases by one, income will decrease by 242.3.
13.
The height (in feet) and volume (in cubic feet) of usable lumber of 32 cherry trees are measured by a researcher. The goal is to determine if volume of usable lumber can be estimated from the height of a tree. 
In this study, the response variable is...
a)
height of researcher
b)
volume of lumber
c)
height of tree
d)
impossible to determine
14.
“Least-squares” in the term “least-squares regression line” refers to...
a)
Minimizing the sum of the squares of all values of the explanatory variable.
b)
Minimizing the sum of the squares of all values of the response variable.
c)
Minimizing the products of each value of the response variable and the predicted value based on the regression equation.
d)
Minimizing the sum of the squares of the residuals.
15.
A data set included the number of people per television set and the number of people per physician for 40 countries. The screen shot below displays a scatterplot of the data with the lsrl added. In Ethiopia, there were 503 people per TV and 36,660 people per doctor. What effect would removing this point have on the regression line?
a)
Slope would increase; y intercept would increase.
b)
Slope would increase; y intercept would decrease.
c)
Slope would decrease; y intercept would increase.
d)
Slope would decrease; y intercept would decrease.