Introduction to Statistics / Math 13 ? 12777 - Test 1 Chapters 1, 2, 3

Test 1 Chapters 1, 2, 3

Introduction to Statistics / Math 13 ? 12777 ?Summer 2008 (Prof. Latham)

1.For each of the variables described below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible.

Indicate your choice for each by circling the appropriate answer.

2.Which of the following variables are best thought of as continuous, which discrete? Indicate your choice for each by circling the appropriate answer.

(a) The number of personal telephone calls made tomorrow at Bingley Corporation.

Discrete Continuous

(b) The number of defective compact discs in a batch ofdiscs.

Discrete Continuous

(c) The time for a participant to identify the color of the letters when the wordredis shown in green letters on a computer screen.

Discrete Continuous

(d) The number of tickets purchased by a caller on a Rose Bowl ticket hotline.

Discrete Continuous

3.In a recent phone survey, people were asked to state their favorite type of television show. The pie chart below summarizes the responses of those surveyed.

addDivNode(455);

4.The pie chart below shows how the annual budget for a certain company is divided by department. If the total budget is

(a) Which category was chosen by approximately one?fourth of those surveyed?

(b) Approximately what percentage of those surveyed chose Other or Drama?

Write your answer as a multiple of

7.Methadone is a synthetic drug whose effect on the body is similar to that of morphine and heroin. Methadone has been used to help people control their addictions to these other drugs. Recently, the governor of Florida vetoed a million?dollar appropriation for several Methadone clinics in the state.

Had Methadone use gotten out of hand? The following histogram summarizes information from a study ofFlorida Methadone clinic patients. (Florida's projected mean daily dosage per Methadone clinic patient was aboutmilligrams.)

8.The stem?and?leaf display below gives the test scores for the

Based on the histogram, find the proportion of daily dosages in the sample that are at leastmilligrams. Write your answer as a decimal, and do not round your answer.

(a)According to Chebyshev's theorem, at least

% of the measurements lie within 1.5 standard deviations of the mean,

13.An intelligence test that has a maximum time for completion ofminutes was recently administered to a group ofpeople. Their respective times for completion (in minutes) were as follows:

22, 26, 32, 33, 33, 34, 36, 38, 38, 39, 39, 39, 39,

41, 42, 42, 42, 42, 43, 43, 43.

14. The following data are the distances from the workplace (in miles) for theemployees of a small business:

5, 14, 10, 12, 9.

Assuming that these distances constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places.

(If necessary, consult a list of formulas.)

(a)For these data, which measures of central tendency take more than one value? Choose all that apply.

1. Mean

2. Median

3. Mode

4. None of these measures

(b)Suppose that the measurement 22 (the smallest measurement in the data set) were replaced by 8. Which measures of central tendency would be affected by the change? Choose all that apply.

1. Mean

2. Median

3. Mode

4. None of these measures

(c)Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.

1. Mean

2. Median

3. Mode

4. None of these measures

(d)The relative values of the mean and median for the original data set are typical of data that have a significant skew to the left. What are the relative values of the mean and median for the original data set? Choose only one.

1. Mean is greater

2. Median is greater

3. Cannot be determined

15.Here are the shopping times (in minutes) for a sample ofshoppers at a particular shoe store:

33, 41, 21, 43, 22.

Find the standard deviation of this sample of shopping times. Round your answer to at least two decimal places.

(If necessary, consult a list of formulas.)

16.Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she

is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy?five is

17.The following data are the ages (in years) ofalgebra teachers in a school district.

38, 30, 31, 55, 57, 41, 48, 42, 41, 56, 30, 43, 25,

34, 32, 44, 39, 58.

Construct a box?and?whisker plot for the data. addDivNode(412);

18.The following are ages ofof the signers of the

Declaration of Independence.

27, 27, 44, 43, 54, 69, 36, 46, 32, 35, 52, 38, 39,

42, 40, 49. Find th and

(If necessary, consult a list of formulas.)