STAT CHAPTER 11 TEST QUESTIONS WITH COMPLETE
SOLUTIONS
1) In which of the following situations should the chi-square Test for Independence be
used?
• A company wants to determine if its employees have sick days that are uniformly
distributed across the days of the week. They collect data on the number of sick
days taken on different days of the week and compare the distribution to the
uniform distribution.
• A company is trying to determine whether employees are overworked. They ask
employees whether they feel overworked or not. As part of the survey, they also
record the work department of each employee. The data are summarized in a
contingency table. They want to determine if being overworked depends on the
department of an employee.
• A professor wants to determine if the men and women in her class had the same
distribution of grades. She records the grade distribution for each gender and
compares the two distributions. -- Correct Answer ✔✔ A company is trying to
determine whether employees are overworked. They ask employees whether
they feel overworked or not. As part of the survey, they also record the work
department of each employee. The data are summarized in a contingency table.
They want to determine if being overworked depends on the department of an
employee.
, The Test of Independence determines if two variables (or factors) are independent
or dependent. In this case, that applies to the company that is trying to decide if
being overworked is dependent on work department.
2) In which of the following situations should the chi-square Test for Independence be
used?
• A researcher is trying to determine if salaries for male and female teachers have
the same distribution. She surveys a random sample of teachers and records the
distribution of salaries for each gender. He wants to determine if the
distributions are the same.
• A professor wants to determine if the students in each of her two sections had
the same distribution of grades. She records the grade distribution for each
section and compares the two distributions.
• A market research company puts out a survey asking people two questions. First,
it asks which brand of detergent they use. Second, it asks whether the household
has more than one car or not. The data are collected and recorded in a
contingency table. The company wants to determine if there is a relationship
between the brand of detergent and car ownership. -- Correct Answer ✔✔ A
market research company puts out a survey asking people two questions. First, it
asks which brand of detergent they use. Second, it asks whether the household
has more than one car or not. The data are collected and recorded in a
contingency table. The company wants to determine if there is a relationship
between the brand of detergent and car ownership.
The Test of Independence determines if two variables (or factors) are independent
or dependent. In this case, that applies to the company that is trying to decide if
detergent brand is dependent on car ownership.
SOLUTIONS
1) In which of the following situations should the chi-square Test for Independence be
used?
• A company wants to determine if its employees have sick days that are uniformly
distributed across the days of the week. They collect data on the number of sick
days taken on different days of the week and compare the distribution to the
uniform distribution.
• A company is trying to determine whether employees are overworked. They ask
employees whether they feel overworked or not. As part of the survey, they also
record the work department of each employee. The data are summarized in a
contingency table. They want to determine if being overworked depends on the
department of an employee.
• A professor wants to determine if the men and women in her class had the same
distribution of grades. She records the grade distribution for each gender and
compares the two distributions. -- Correct Answer ✔✔ A company is trying to
determine whether employees are overworked. They ask employees whether
they feel overworked or not. As part of the survey, they also record the work
department of each employee. The data are summarized in a contingency table.
They want to determine if being overworked depends on the department of an
employee.
, The Test of Independence determines if two variables (or factors) are independent
or dependent. In this case, that applies to the company that is trying to decide if
being overworked is dependent on work department.
2) In which of the following situations should the chi-square Test for Independence be
used?
• A researcher is trying to determine if salaries for male and female teachers have
the same distribution. She surveys a random sample of teachers and records the
distribution of salaries for each gender. He wants to determine if the
distributions are the same.
• A professor wants to determine if the students in each of her two sections had
the same distribution of grades. She records the grade distribution for each
section and compares the two distributions.
• A market research company puts out a survey asking people two questions. First,
it asks which brand of detergent they use. Second, it asks whether the household
has more than one car or not. The data are collected and recorded in a
contingency table. The company wants to determine if there is a relationship
between the brand of detergent and car ownership. -- Correct Answer ✔✔ A
market research company puts out a survey asking people two questions. First, it
asks which brand of detergent they use. Second, it asks whether the household
has more than one car or not. The data are collected and recorded in a
contingency table. The company wants to determine if there is a relationship
between the brand of detergent and car ownership.
The Test of Independence determines if two variables (or factors) are independent
or dependent. In this case, that applies to the company that is trying to decide if
detergent brand is dependent on car ownership.
