Math 302 Quiz 1

Part 1 of 3 –         9.0/ 12.0 Points

Question 1 of 20               1.0/ 1.0 Points

For a boxplot, the box itself represents what percent of the observations?

                  A.upper 75%

                  B.lower 25%

                  C.middle 50%  

                  D.100%

Answer Key:

Question 2 of 20               1.0/ 1.0 Points

Numerical variables can be subdivided into which two types?

                  A.Cross-sectional and discrete

                  B.Diverse and categorical

                  C.Nominal and progressive

                  D.Discrete and continuous

Answer Key:

Question 3 of 20               1.0/ 1.0 Points

What type of graph is the figure below?

                  A.Pareto chart

                  B.ogive

                  C.relative frequency histogram

                  D.pictograph

Answer Key:

Question 4 of 20               1.0/ 1.0 Points

A histogram that is positively skewed is also called

                  A.balanced

                  B.symmetric

                  C.skewed to the left

                  D.skewed to the right 

Answer Key:

Question 5 of 20               0.0/ 1.0 Points

What is the term for a characteristic or attribute that can assume different values?

                  A.variable

                  B.exponent     

                  C.sample

                  D.datum

Answer Key:

Question 6 of 20               1.0/ 1.0 Points

The median can also be described as:

                  A.the middle observation when the data values are arranged in ascending orde             

                  B.the second quartile

                  C.the 50th percentile

                  D.all of the above

Answer Key:

Question 7 of 20               1.0/ 1.0 Points

The total frequency of the data whose ogive is shown below is approximately

                  A.12

                  B.18

                  C.34

                  D.90

Answer Key:

Question 8 of 20               0.0/ 1.0 Points

Suppose that a histogram of a data set is approximately symmetric and “bell shaped”. Approximately what percent of the observations are within one standard deviation of the mean?

                  A.68%

                  B.99.7%

                  C.50%

                  D.95%

Answer Key:

Comment: Empirical rule Check the video in the forum 1.

1 stdev = 68%

2 stdev 95%

3 stdev = 99.7%

Question 9 of 20               1.0/ 1.0 Points

Which measure of central location is meaningful when the data are categorical?

                  A.The mode

                  B.The mean

                  C.The median

                  D.The range

Answer Key:

Question 10 of 20             1.0/ 1.0 Points

Since the population is always larger than the sample, the population mean:

                  A.is always larger than or equal to the sample mean

                  B.is always smaller than or equal to the sample mean

                  C.can be smaller than, or larger than, or equal to the sample mean

                  D.is always strictly less than the sample mean

Answer Key:

Question 11 of 20             0.0/ 1.0 Points

The difference between the first and third quartile is called the

                  A.interdependent range           

                  B.unimodal range

                  C.interquartile range

                  D.mid range

Answer Key:

Question 12 of 20             1.0/ 1.0 Points

Which of the following statements is true regarding the data set 10, 10, 10, 10, and 10?

                  A.The range is zero

                  B.The standard deviation equals zero

                  C.The interquartile range equals zero

                  D.all of the above

Answer Key:

Part 2 of 3 –         4.0/ 6.0 Points

Question 13 of 20             0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The histogram below represents scores achieved by 250 job applicants on a personality profile.

Sixty percent of the job applicants scored below what value?  Place your answer in the blank. Do not use any stray symbols. For example, 123 would be a legitimate answer.

 20

Answer Key: 

Comment: count the percentages in the columns .1+0.2+.2+.1 = 0.60 = 60% and this takes us to value 40

Question 14 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the variance of the data. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.  2.77

Answer Key:

Question 15 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the mean number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.  1.90

Answer Key: 

Question 16 of 20             0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A sample of 150 students at a State University was taken after the final business statistics exam to ask them whether they went partying the weekend before the final or spent the weekend studying, and whether they did well or poorly on the final. The following table contains the result.

                Did Well in Exam               Did Poorly in Exam

Studying for Exam           60           15

Went Partying   22           53

Of those in the sample who did well on the final exam, what percentage of them went partying the weekend before the exam? Place your answer in the blank, rounded to 2 decimal places. Do not use a percentage sign (%). For example, 44.44 would be a legitimate answer.   29.33

Answer Key: 

Question 17 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that an analysis of a set of test scores reveals that:  .

Answer Key: 

Question 18 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data are the base salaries, in thousands of dollars, of 50 chief executive officers for a sample of companies doing business with the state of Connecticut. That is, the first entry in the table below corresponds to a salary of $125,000. A copy of this data set can be found in the Excel Workbook called CEOSalaries.xls.

125         157         113         127         201

165         145         119         148         158

148         168         117         105         136

136         125         148         108         178

179         191         225         204         104

205         197         119         209         157

209         205         221         178         247

235         217         222         224         187

265         148         165         228         239

245         152         148         115         150

        Find the median of the CEO salaries, in thousands of dollars, rounded to 2 decimal places. Do not use a dollar sign. Note: $177,760 should be recorded as 177.76.  165.00

CEOSalaries.xls

Answer Key: 

Part 3 of 3 –         2.0/ 2.0 Points

Question 19 of 20             1.0/ 1.0 Points

Phone numbers, Social Security numbers, and zip codes are examples of numerical variables

Answer Key:

Question 20 of 20             1.0/ 1.0 Points

Part 1 of 3 –         9.0/ 12.0 Points

Question 1 of 20               1.0/ 1.0 Points

For a boxplot, the box itself represents what percent of the observations?

                  A.upper 75%

                  B.lower 25%

                  C.middle 50%  

                  D.100%

Answer Key:

Question 2 of 20               1.0/ 1.0 Points

Numerical variables can be subdivided into which two types?

                  A.Cross-sectional and discrete

                  B.Diverse and categorical

                  C.Nominal and progressive

                  D.Discrete and continuous

Answer Key:

Question 3 of 20               1.0/ 1.0 Points

What type of graph is the figure below?

                  A.Pareto chart

                  B.ogive

                  C.relative frequency histogram

                  D.pictograph

Answer Key:

Question 4 of 20               1.0/ 1.0 Points

A histogram that is positively skewed is also called

                  A.balanced

                  B.symmetric

                  C.skewed to the left

                  D.skewed to the right 

Answer Key:

Question 5 of 20               0.0/ 1.0 Points

What is the term for a characteristic or attribute that can assume different values?

                  A.variable

                  B.exponent     

                  C.sample

                  D.datum

Answer Key:

Question 6 of 20               1.0/ 1.0 Points

The median can also be described as:

                  A.the middle observation when the data values are arranged in ascending orde             

                  B.the second quartile

                  C.the 50th percentile

                  D.all of the above

Answer Key:

Question 7 of 20               1.0/ 1.0 Points

The total frequency of the data whose ogive is shown below is approximately

                  A.12

                  B.18

                  C.34

                  D.90

Answer Key:

Question 8 of 20               0.0/ 1.0 Points

Suppose that a histogram of a data set is approximately symmetric and “bell shaped”. Approximately what percent of the observations are within one standard deviation of the mean?

                  A.68%

                  B.99.7%

                  C.50%

                  D.95%

Answer Key:

Comment: Empirical rule Check the video in the forum 1.

1 stdev = 68%

2 stdev 95%

3 stdev = 99.7%

Question 9 of 20               1.0/ 1.0 Points

Which measure of central location is meaningful when the data are categorical?

                  A.The mode

                  B.The mean

                  C.The median

                  D.The range

Answer Key:

Question 10 of 20             1.0/ 1.0 Points

Since the population is always larger than the sample, the population mean:

                  A.is always larger than or equal to the sample mean

                  B.is always smaller than or equal to the sample mean

                  C.can be smaller than, or larger than, or equal to the sample mean

                  D.is always strictly less than the sample mean

Answer Key:

Question 11 of 20             0.0/ 1.0 Points

The difference between the first and third quartile is called the

                  A.interdependent range           

                  B.unimodal range

                  C.interquartile range

                  D.mid range

Answer Key:

Question 12 of 20             1.0/ 1.0 Points

Which of the following statements is true regarding the data set 10, 10, 10, 10, and 10?

                  A.The range is zero

                  B.The standard deviation equals zero

                  C.The interquartile range equals zero

                  D.all of the above

Answer Key:

Part 2 of 3 –         4.0/ 6.0 Points

Question 13 of 20             0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The histogram below represents scores achieved by 250 job applicants on a personality profile.

Sixty percent of the job applicants scored below what value?  Place your answer in the blank. Do not use any stray symbols. For example, 123 would be a legitimate answer.

 20

Answer Key: 

Comment: count the percentages in the columns .1+0.2+.2+.1 = 0.60 = 60% and this takes us to value 40

Question 14 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the variance of the data. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.  2.77

Answer Key:

Question 15 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the mean number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.  1.90

Answer Key: 

Question 16 of 20             0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A sample of 150 students at a State University was taken after the final business statistics exam to ask them whether they went partying the weekend before the final or spent the weekend studying, and whether they did well or poorly on the final. The following table contains the result.

                Did Well in Exam               Did Poorly in Exam

Studying for Exam           60           15

Went Partying   22           53

Of those in the sample who did well on the final exam, what percentage of them went partying the weekend before the exam? Place your answer in the blank, rounded to 2 decimal places. Do not use a percentage sign (%). For example, 44.44 would be a legitimate answer.   29.33

Answer Key: 

Question 17 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that an analysis of a set of test scores reveals that:  .

Answer Key: 

Question 18 of 20             1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data are the base salaries, in thousands of dollars, of 50 chief executive officers for a sample of companies doing business with the state of Connecticut. That is, the first entry in the table below corresponds to a salary of $125,000. A copy of this data set can be found in the Excel Workbook called CEOSalaries.xls.

125         157         113         127         201

165         145         119         148         158

148         168         117         105         136

136         125         148         108         178

179         191         225         204         104

205         197         119         209         157

209         205         221         178         247

235         217         222         224         187

265         148         165         228         239

245         152         148         115         150

        Find the median of the CEO salaries, in thousands of dollars, rounded to 2 decimal places. Do not use a dollar sign. Note: $177,760 should be recorded as 177.76.  165.00

CEOSalaries.xls

Answer Key: 

Part 3 of 3 –         2.0/ 2.0 Points

Question 19 of 20             1.0/ 1.0 Points

Phone numbers, Social Security numbers, and zip codes are examples of numerical variables

Answer Key:

Question 20 of 20             1.0/ 1.0 Points

The number of car insurance policy holders is an example of a discrete random variable

The number of car insurance policy holders is an example of a discrete random variable

 
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