## Essentials of Statistics Study Set 1

Statistics

## Quiz 1 :

Data and Statistics

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Q79 Q79 Q79

Exhibit 1-1
In a recent study based upon an inspection of 200 homes in Daisy City, 80 were found to violate one or more city codes.
-Refer to Exhibit 1-1. The city manager released a statement that 40% of Daisy City's 2,000 homes are in violation of city codes. The manager's statement is an example of

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Q83 Q83 Q83

Exhibit 1-2
In a sample of 1,600 registered voters, 912, or 57%, approve of the way the President is doing his job.
-Refer to Exhibit 1-2. A political pollster states: "Fifty-seven percent of all voters approve of the President." This statement is an example of

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Multiple Choice

Q89 Q89 Q89

Exhibit 1-4
In many universities, students evaluate their professors by means of answering a questionnaire. Assume a questionnaire is distributed to a class of 45 students. Students are asked to answer the following:
1. Sex
2. Race Black, White, Other)
3. Age
4. Number of hours completed
5. Grade point average
"6. My instructor is a very effective teacher
"
-Refer to Exhibit 1-4. How many elements are in the above data set?

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Multiple Choice

Q90 Q90 Q90

Exhibit 1-4
In many universities, students evaluate their professors by means of answering a questionnaire. Assume a questionnaire is distributed to a class of 45 students. Students are asked to answer the following:
1. Sex
2. Race Black, White, Other)
3. Age
4. Number of hours completed
5. Grade point average
"6. My instructor is a very effective teacher
"
-Refer to Exhibit 1-4. How many variables are in this data set?

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Multiple Choice

Q91 Q91 Q91

Exhibit 1-4
In many universities, students evaluate their professors by means of answering a questionnaire. Assume a questionnaire is distributed to a class of 45 students. Students are asked to answer the following:
1. Sex
2. Race Black, White, Other)
3. Age
4. Number of hours completed
5. Grade point average
"6. My instructor is a very effective teacher
"
-Refer to Exhibit 1-4. How many observations are in this data set?

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Multiple Choice

Q93 Q93 Q93

Exhibit 1-5
The following is a frequency distribution of the monthly expenditures for long distance telephone service of 200 households in Chattanooga.
-Refer to Exhibit 1-5. What percentage of households have monthly expenditure for long distance service between $40 and $100?

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Multiple Choice

Q94 Q94 Q94

Exhibit 1-5
The following is a frequency distribution of the monthly expenditures for long distance telephone service of 200 households in Chattanooga.
-Refer to Exhibit 1-5. What is the proportion of households with monthly expenditure for long distance service of either below $60 or at least $100?

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Multiple Choice

Q95 Q95 Q95

After graduation ceremonies at a university, six graduates were asked whether they were in favor of identified by
1) or against identified by 0) abortion. Some information about these graduates is shown below.
a. How many elements are in the data set?
b. How many variables are in the data set?
c. How many observations are in the data set?
d. Which of the above variables Sex, Age, Abortion Issue, Class rank) are categorical and which are quantitative variables?
e. Are arithmetic operations appropriate for the variable "abortion issue"?

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Q96 Q96 Q96

A recent issue of Fortune Magazine reported that the following companies had the lowest sales per employee among the Fortune 500 companies.
a. How many elements are in the above data set?
b. How many variables are in the above data set?
c. How many observations are in the above data set?
d. Name the variables and indicate whether they are categorical or quantitative.

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Q97 Q97 Q97

The following shows the temperatures high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.
a. How many elements are in this data set?
b. How many variables are in this data set?
c. How many observations are in this data set?
d. Name the variables and indicate whether they are categorical or quantitative.
e. For which variables are arithmetic operations appropriate and for which are they not appropriate?

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Q98 Q98 Q98

A recent issue of a national magazine reported that in a national public opinion survey conducted among 2,000 individuals, 56% were in favor of gun control, 40% opposed gun control, and 4% had no opinion on the subject.
a. What is the sample in this survey?
b. Based on the sample, what percentage of the population would you think is in favor of gun control?
c. Based on the sample, what percentage of the population would you think have no opinion on the subject?

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Q99 Q99 Q99

The following table shows the starting salaries of a sample of recent business graduates.
a. What percentage of graduates in the sample had starting salaries of at least $30,000?
b. Of the graduates in the sample, what percentage had starting salaries of less than $25,000?
c. Based on this sample, what percentage of all business graduates do you estimate to have starting salaries of at least $20,000?

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Q100 Q100 Q100

Michael, Inc., a manufacturer of electric guitars, is a small firm with 50 employees. The table below shows the hourly wage distribution of the employees.
a. How many employees receive hourly wages of at least $18?
b. What percentage of the employees has hourly wages of at least $18?
c. What percentage of the employees has hourly wages of less than $14?

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Q101 Q101 Q101

The following information regarding the top eight Fortune 500 companies was presented in an issue of Fortune Magazine.
a. How many elements are in the above data set?
b. How many variables are in this data set?
c. How many observations are in this data set?
d. Which variables are categorical and which are quantitative variables?
e. What measurement scale is used for each variable?

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Q102 Q102 Q102

The following information regarding a sample of seven students is provided.
Student Identification Grade Point Classification Gender Rank in
Number Average Class
Adam 1234 2.89 Senior Male 15
Brandon 8978 2.01 Junior Male 25
Jason 6578 3.97 Freshman Male 3
Marissa 2345 3.98 Sophomore Female 2
Michelle 8901 2.67 Senior Female 18
Wendy 7789 4.00 Senior Female 1
Webster 6780 3.77 Freshman Male 4
a. How many elements are in the above data set?
b. How many variables are in this data set?
c. How many observations are in this data set?
d. Which variables are categorical and which are quantitative variables?
e. What measurement scale is used for each variable?

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Q103 Q103 Q103

The following information regarding the ten richest Americans was reported in a recent issue of Forbes.
a. How many elements are in the above data set?
b. How many variables are in this data set?
c. How many observations are in this data set?
d. Which variables are categorical and which are quantitative?
e. What measurement scale is used for each variable?

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Q104 Q104 Q104

The following national weather report gives the temperatures and weather conditions on the previous day in cities across the nation.
a. How many elements are in this data set?
b. How many variables are in this data set?
c. How many observations are there in the above data set?
d. Which variables are categorical and which are quantitative?
e. What measurement scale is used for temperature and weather conditions?

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Q105 Q105 Q105

The following table shows the age distribution of a sample of 180 students at a local college.
AGE DISTRIBUTION OF 180 STUDENTS AT A LOCAL COLLEGE
a. Of the students in the sample, what percentage is younger than 20 years of age?
b. What percentage is at least 30 years of age?
c. Based on this sample, what percentage of the students at the college do you estimate to be younger than 25 years of age?

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Q106 Q106 Q106

The highway patrol is interested in determining the average speed of automobiles traveling on I-75 between Chattanooga and Atlanta. To accomplish this task, the speed of every tenth car passing a particular point on I-75 is recorded.
a. What is the population for this study?
b. What constitutes the sample?
c. Is speed a categorical or a quantitative variable?
d. What type of measurement scale is used?

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