In 2225, determine whether each statement is true or false

The government of a large city needs to determine whether the citys residents will support the construction of a new jail. The government decides to conduct a survey of a sample of the citys residents. Which one of the following procedures would be most appropriate for obtaining a sample of the citys residents? a. Survey a random sample of the employees and inmates at the old jail. b. Survey every fifth person who walks into City Hall on a given day. c. Survey a random sample of persons within each geographic region of the city. d. Survey the first 200 people listed in the citys telephone directory.

The city council of a large city needs to know whether its residents will support the building of three new schools. The council decides to conduct a survey of a sample of the citys residents. Which procedure would be most appropriate for obtaining a sample of the citys residents? a. Survey a random sample of teachers who live in the city. b. Survey 100 individuals who are randomly selected from a list of all people living in the state in which the city in question is located. c. Survey a random sample of persons within each neighborhood of the city. d. Survey every tenth person who enters City Hall on a randomly selected day

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last \(2 \frac{1}{2}\) weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution. Use this frequency distribution to solve Exercises 3-6. Which stress rating describes the greatest number of students? How many students responded with this rating? Text Transcription: 2 frac 1 2

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last \(2 \frac{1}{2}\) weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution. Use this frequency distribution to solve Exercises 3-6. Which stress rating describes the least number of students? How many responded with this rating? Text Transcription: 2 frac 1 2

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last \(2 \frac{1}{2}\) weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution. Use this frequency distribution to solve Exercises 3-6. How many students were involved in this study? Text Transcription: 2 frac 1 2

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last \(2 \frac{1}{2}\) weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution. Use this frequency distribution to solve Exercises 3-6. How many students had a stress rating of 8 or more? Text Transcription: 2 frac 1 2

A random sample of 30 college students is selected. Each student is asked how much time he or she spent on homework during the previous week. The following times (in hours) are obtained: 16, 24, 18, 21, 18, 16, 18, 17, 15, 21, 19, 17, 17, 16, 19, 18, 15, 15, 20, 17, 15, 17, 24, 19, 16, 20, 16, 19, 18, 17. Construct a frequency distribution for the data.

A random sample of 30 male college students is selected. Each student is asked his height (to the nearest inch). The heights are as follows: 72, 70, 68, 72, 71, 71, 71, 69, 73, 71, 73, 75, 66, 67, 75, 74, 73, 71, 72, 67, 72, 68, 67, 71, 73, 71, 72, 70, 73, 70. Construct a frequency distribution for the data.

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. Identify the lower class limit for each class.

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. Identify the upper class limit for each class.

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. What is the class width?

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. How many students were involved in this study?

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. How many students had at least 30 social interactions for the week?

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. How many students had at most 14 social interactions for the week?

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. Among the classes with the greatest frequency, which class has the least number of social interactions?

A college professor had students keep a diary of their social interactions for a week. Excluding family and work situations, the number of social interactions of ten minutes or longer over the week is shown in the following grouped frequency distribution. Use this information to solve Exercises 9–16. Among the classes with the smallest frequency, which class has the least number of social interactions?

As of 2011, the following are the ages, in chronological order, at which U.S. presidents were inaugurated: 57, 61, 57, 57, 58, 57, 61, 54, 68, 51, 49, 64, 50, 48, 65, 52, 56, 46, 54, 49, 50, 47, 55, 55, 54, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, 47. Source: Time Almanac Construct a grouped frequency distribution for the data. Use 41–45 for the first class and use the same width for each subsequent class.

The IQ scores of 70 students enrolled in a liberal arts course at a college are as follows: 102, 100, 103, 86, 120, 117, 111, 101, 93, 97, 99, 95, 95, 104, 104, 105, 106, 109, 109, 89, 94, 95, 99, 99, 103, 104, 105, 109, 110, 114, 124, 123, 118, 117, 116, 110, 114, 114, 96, 99, 103, 103, 104, 107, 107, 110, 111, 112, 113, 117, 115, 116, 100, 104, 102, 94, 93, 93, 96, 96, 111, 116, 107, 109, 105, 106, 97, 106, 107, 108. Construct a grouped frequency distribution for the data. Use 85–89 for the first class and use the same width for each subsequent class.

Construct a histogram and a frequency polygon for the data involving stress ratings in Exercises 3–6.

Construct a histogram and a frequency polygon for the data in Exercise 7.

Construct a histogram and a frequency polygon for the data in Exercise 8.

The histogram shows the distribution of starting salaries (rounded to the nearest thousand dollars) for college graduates based on a random sample of recent graduates. In Exercises 22–25, determine whether each statement is true or false according to the graph at the bottom of the previous column. The graph is based on a sample of approximately 500 recent college graduates.

The histogram shows the distribution of starting salaries (rounded to the nearest thousand dollars) for college graduates based on a random sample of recent graduates. Determine whether each statement is true or false according to the graph. More college graduates had starting salaries in the $51,000– $55,000 range than in the $36,000–$40,000 range.

The histogram shows the distribution of starting salaries (rounded to the nearest thousand dollars) for college graduates based on a random sample of recent graduates. In Exercises 22–25, determine whether each statement is true or false according to the graph at the bottom of the previous column. If the sample is truly representative, then for a group of 400 college graduates, we can expect about 28 of them to have starting salaries in the $31,000–$35,000 range.

The histogram shows the distribution of starting salaries (rounded to the nearest thousand dollars) for college graduates based on a random sample of recent graduates. In Exercises 22–25, determine whether each statement is true or false according to the graph at the bottom of the previous column. The percentage of starting salaries falling above those shown by any rectangular bar is equal to the percentage of starting salaries falling below that bar.

In Exercises 26–29, determine whether each statement is true or false according to the graph. The graph is based on a sample of approximately 50 people.

In Exercises 26–29, determine whether each statement is true or false according to the graph. More people had an IQ score of 100 than any other IQ score, and as the deviation from 100 increases or decreases, the scores fall off in a symmetrical manner.

In Exercises 26–29, determine whether each statement is true or false according to the graph. More people had an IQ score of 110 than a score of 90.

In Exercises 26–29, determine whether each statement is true or false according to the graph. The percentage of scores above any IQ score is equal to the percentage of scores below that score.

Construct a stem-and-leaf plot for the data in Exercise 17 showing the ages at which U.S. presidents were inaugurated.

A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages: 63, 48, 42, 42, 38, 59, 41, 44, 45, 28, 54, 62, 51, 44, 63, 66, 59, 46, 51, 28, 37, 66, 42, 40, 30, 31, 48, 32, 29, 42, 63, 37, 36, 47, 25, 34, 49, 30, 35, 50. Construct a stem-and-leaf plot for the data. What does the shape of the display reveal about the ages of the professors?

In “Ages of Oscar-Winning Best Actors and Actresses” (Mathematics Teacher magazine) by Richard Brown and Gretchen Davis, the stem-and-leaf plots shown on the right compare the ages of 30 actors and 30 actresses at the time they won the award. a. What is the age of the youngest actor to win an Oscar? b. What is the age difference between the oldest and the youngest actress to win an Oscar? c. What is the oldest age shared by two actors to win an Oscar? d. What differences do you observe between the two stem-and-leaf plots? What explanations can you offer for these differences?

In Exercises 33–37, describe what is misleading in each visual display of data.

In Exercises 33–37, describe what is misleading in each visual display of data.

In Exercises 33–37, describe what is misleading in each visual display of data.

In Exercises 33–37, describe what is misleading in each visual display of data.

In Exercises 33–37, describe what is misleading in each visual display of data.

What is a population? What is a sample?

Describe what is meant by a random sample.

Suppose you are interested in whether or not the students at your college would favor a grading system in which students may receive final grades of A+, A, A-, B+, B, B-,C+, C, C-, and so on. Describe how you might obtain a random sample of 100 students from the entire student population

For Exercise 40, would questioning every fifth student as he or she is leaving the campus library until 100 students are interviewed be a good way to obtain a random sample? Explain your answer.

What is a frequency distribution?

What is a histogram?

What is a frequency polygon?

Describe how to construct a frequency polygon from a histogram

Describe how to construct a stem-and-leaf plot from a set of data.

Describe two ways that graphs can be misleading.

In Exercises 48–51, determine whether each statement makes sense or does not make sense, and explain your reasoning. The death rate from this new strain of flu is catastrophic because 25% of the people hospitalized with the disease have died.

In Exercises 48–51, determine whether each statement makes sense or does not make sense, and explain your reasoning. The following graph indicates that for the period from 2000 through 2010, the percentage of female college freshmen describing their health as “above average” has rapidly decreased.

In Exercises 48–51, determine whether each statement makes sense or does not make sense, and explain your reasoning. A public radio station needs to survey its contributors to determine their programming interests, so they should select a random sample of 100 of their largest contributors.

In Exercises 48–51, determine whether each statement makes sense or does not make sense, and explain your reasoning. Improperly worded questions can steer respondents toward answers that are not their own.

Construct a grouped frequency distribution for the following data, showing the length, in miles, of the 25 longest rivers in the United States. Use five classes that have the same width.

The classic book on distortion using statistics is How to Lie with Statistics by Darrell Huff. This activity is designed for five people. Each person should select two chapters from Huffs book and then present to the class the common methods of statistical manipulation and distortion that Huff discusses.

Each group member should find one example of a graph that presents data with integrity and one example of a graph that is misleading. Use newspapers, magazines, the Internet, books, and so forth. Once graphs have been collected, each member should share his or her graphs with the entire group. Be sure to explain why one graph depicts data in a forthright manner and how the other graph misleads the viewer.