# Quantitative data are collected from an observational study, while qualitative data are from a designed experiment

**Question-1**

**What is statistic?**

**a.** **It is the process used to assign numbers to variables of individual population units**

**b.** **It is the science that deals with collection, classification, analysis, and interpretation of information or data.**

**c.** **It is a characteristic or property of an individual experimental unit.**

**d.** **It is an estimate or prediction or some other generalization about a population based on information contained in a sample**

**2. Explain the different between qualitative and quantitative data.**

**a. Quantitative data are numerical in nature, while qualitative data are categorical in nature.**

**b. Quantitative data are collected from a designed experiment, while qualitative data are from an observational study.**

**c. Quantitative data are categorical in nature, while qualitative data are numerical in nature.**

**c. Quantitative data are data from a sample while qualitative data are data from a population.**

**d. Quantitative data are data from a population, while qualitative data are data from a simple.**

**e. Quantitative data are collected from an observational study, while qualitative data are from a designed experiment.**

**3. Explain how population and variables differ.**

**a. A population is a set of unit of interest to a study. A variable is an object upon which data is collected.**

**b. A variable is a set of unit of interest to a study. A population is a characteristics property of the units being studied.**

**c. A population is a set of units of interest to a study. A variable is a subset of the unit of a population.**

**d. A population is a set of units of interest to a study. A variable is a characteristics or property of the units being studied.**

**4. Define statistical thinking.**

**a. Statistical thinking utilizes sample data of make estimates, decision prediction or other generalizations about a larger set of data.**

**b. Statistical thinking is a series of actions or operations that transforms input to outputs.**

**c. Statistical thinking is a statement about the degree of uncertainly associated with a statistical inference.**

**d. statistical thinking involves applying rational thought and the science of statistics to critically assess data and inferences.**

**5. Suppose you’re given a data set that classifies each sample unit one of four categories A,B,C or D. you plan to create a computer database consisting of these data, and you decided to code the data as A=1,B=2, C=3 and D=4. Are the data consisting of the classifications A, B, C and D qualitative or quantitative? After the data are input as 1, 2, 3, and 4 are they qualitative and quantitative?**

**Are the data consisting of the classification A, B, C, and D qualitative or quantitative?**

**a. Qualitative, because they can only be classified into categories.**

**b. Qualitative, because they are measures on a naturally occurring numerical scale.**

**c. Quantitative, because they are measures on a naturally occurring numerical scale.**

**d. Quantitative, because they can only be classified into categories.**

**6. A company tracked some credit card purchase during the year 2005 and measured two variables: (1) the date of the monthly payment, and (2) the amount (in dollars) of each monthly payment.**

**a. ** **Identify the type (quantitative of qualitative) of each variable measured.**

**b. Does the data set collected represent a population or a sample?**

**a. Is the variable (1) qualitative or quantitative?**

**Qualitative**

**Quantitative**

**Note: Variable (2) is quantitative**

**b. Data set collected represent a Population or a sample?**

**Population**

**Sample**

**7. Identify each of the following variables as qualitative or quantitative.**

**a. Number of pets in family.**

**b. Gender.**

**c. Favorite color.**

**d. Number of brother and sisters.**

**a. Is number of pets in a family qualitative or quantitative?**

**Qualitative**

**Quantitative**

**b. Is Gender qualitative or quantitative?**

**Qualitative**

**Quantitative**

**c. Is distance of commute to work qualitative or quantitative?**

**Qualitative**

**Quantitative**

**d. Is Natural hair color qualitative or quantitative?**

**Qualitative**

**Quantitative**

**8. Identify each of the following variables as qualitative or quantitative**

**a. College major**

**b. Time worked in week**

**c. Size of home**

**d. Lucky day of the week**

**a. Is the variable qualitative or quantitative? Why?**

**B. College major is a qualitative variable. Its values are not numerical.**

**b. Time worked in week is a Quantitative variable. Its values are numerical.**

**c. Size of home is a quantitative variable. Its values are numerical.**

**d. Lucky day of the week is a qualitative variable. Its values are not numerical.**

**9. A company surveyed a random sample of 5,500 employees in the region. One question they asked was,” If your employer provides you with mentoring opportunities are you likely to remain in your job for the next five years?” they found that 750 member of the sample said yes.**

**a. Identify population of interest to the company.**

**A. All people in the region.**

**B. The 610 employees who answered yes**

**C. The 5,500 employee surveyed**

**D. All employees in the region.**

**10. Identify each of the following variables as qualitative or quantitative.**

**a. Duration of a concert**

**b. Calories in a cheese Danish**

**c. Clothing style**

**d. Color of car**

**a. Is the variable qualitative of quantitative? Why?**

**B. Duration of a** **concert is quantitative variable. Its values are numerical.**

**b. Calories in a cheese Danish is quantitative variable**

**c. Clothing style is qualitative variable**

**d. Color of car is a qualitative variable**

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