Question 1

Which of the following values cannot be a probability?

Accepted Answer

$$\frac{5}{3}$$

Question 2

A soda machine pours soda into 12-ounce cans. The amount poured follows a normal distribution with mean $$\mu = 12.12$$ ounces and standard deviation $$\sigma = 0.08$$ ounces. What is the probability that a randomly selected can will overflow (i.e., contain more than 12.20 ounces)?

Accepted Answer

0.1587

Question 3

Sarah measures the temperature of a liquid at the start of an experiment to be $$-4^{\circ}$$\mathrm{C}$$. After the experiment, the temperature has risen by 26$$^{\circ}$$\mathrm{C}. $$What is the final temperature?

Accepted Answer

$$22^{\circ}$$\mathrm{C}$$

Question 4

A class consists of 50 women and 21 men. If a student is randomly selected, what is the probability that the student is a woman?

Accepted Answer

$$\frac{50}{71}$$

Question 5

A nurse measured the blood pressure of each person who visited her clinic. The relative-frequency histogram for the systolic blood pressure readings for those aged 25 to 40 is shown. Approximately what proportion of the people aged 25-40 had a systolic blood pressure reading less than 120 mm Hg?

Accepted Answer

0.50

Question 6

Refer to the boxplots comparing the number of sentenced prisoners by state in the Midwest and West. Which statement best describes the shape of the distribution for the states in the Midwest?

Accepted Answer

The data appears to be right-skewed with large variability.

Question 7

A researcher randomly selects a sample of 100 students from a college and finds their mean age is 21.3 years. She then estimates the mean age of all students at the college to be 21.3 years. In what way are descriptive and inferential statistics involved?

Accepted Answer

When calculating the mean age of the students in the sample, the researcher is using descriptive statistics. When estimating the mean age of all students at the college, the researcher is using inferential statistics.

Question 8

A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green balls. If you draw one ball, replace it, and then draw another, what is the probability of selecting one white ball and one blue ball (in any order)? Round to the nearest ten-thousandth.

Accepted Answer

0.0480

Question 9

Which of the following best describes the association shown in the scatterplot where as $$x$$ increases, $$y$$ decreases?

Accepted Answer

Negative

Question 10

The events $$A$$ and $$B$$ are mutually exclusive. If $$P(A) = 0.3$$ and $$P(B) = 0.6$$, what is $$P(A 	ext{ and } B)$$?

Accepted Answer

$$0$$

Question 11

A human gene carries a certain disease from mother to child with probability $$0.44. If a $$female carrier has three children, what is the probability all three children get the disease? (Assume independence. Round to the nearest thousandth.)

Accepted Answer

0.085

Question 12

A magazine publisher mails a survey to every subscriber and only 3% respond. This 3% represents what?

Accepted Answer

The sample

Question 13

A nurse measured the blood pressure of each person who visited her clinic. The relative-frequency histogram for the systolic blood pressure readings for those aged 25 to 40 is shown. Given that 200 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading less than 130 mm Hg?

Accepted Answer

150

Question 14

Which sampling technique is used when every fifth person boarding a plane is searched thoroughly?

Accepted Answer

Systematic

Question 15

A clinical trial randomly assigns 780 participants to three groups: low dosage, high dosage, and placebo. The change in diastolic blood pressure is measured. What is the response variable?

Accepted Answer

Change in diastolic blood pressure

Question 16

A researcher wants to estimate the average time it takes a student to find a parking spot. She follows 180 students and records the time for each. What is the variable of interest?

Accepted Answer

Time to find a parking spot

Question 17

Which of the following is an example of a lurking variable?

Accepted Answer

A variable related to the response or predictor variable but excluded from the analysis

Question 18

A survey asks, 'Do you support the lowering of air quality standards if it could cause the death of millions of innocent people from pollution related diseases?' What type of bias is present?

Accepted Answer

Response bias

Question 19

A nurse measured the blood pressure of each person who visited her clinic. The relative-frequency histogram for the systolic blood pressure readings for those aged 25 to 40 is shown. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading of at least 110 but less than 120 mm Hg?

Accepted Answer

0.35

STA 1001 Final Exam Review – Step-by-Step Statistics Guidance

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