Statistics

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​_________ are the characteristics of the individuals of the population being studied.

Variables

A polling organization contacts 1232 adult women who are 30 to 70 years of age and live in the United States and asks whether or not they had received a mammogram during the past year. What is the population in the study? What is the sample in the study?

Adult women who are 30 to 70 years of age and live in the United States. The 1232 adult women who are 30 to 70 years of age and live in the United States.

​A(n) _________ is a person or object that is a member of the population being studied.

Individual

A(n) _______ is a numerical summary of a population.

Parameter

Determine whether the quantitative variable is discrete or continuous. Number of days of rainfall in a city in one year

The variable is discrete because it is countable.

Determine whether the quantitative variable is discrete or continuous. Number of students in a class

The variable is discrete because it is countable.

Determine whether the variable is a qualitative or quantitative. Favorite Film

The variable is qualitative because it is an attribute characteristic.

Determine whether the variable is a qualitative or quantitative. Age

The variable is quantitative because it is a numerical measure.

Determine whether the variable is a qualitative or quantitative. Distance in miles to nearest outdoor stadium

The variable is quantitative because it is a numerical measure.

Determine whether the variable is a qualitative or quantitative. Miles per hour at which a car is traveling

The variable is quantitative because it is a numerical measure.

Determine whether the variable is a qualitative or quantitative. Number of students at a university

The variable is quantitative because it is a numerical measure.

Determine whether the variable is a qualitative or quantitative. Population of country of origin

The variable is quantitative because it is a numerical measure.

________ statistics consists of organizing and summarizing information collected, while ________ statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results.

Descriptive, Inferential

(a) What is the research question the study addresses? (b) What is the sample? (c) What type of variable is the season in which you were born? (d) What can be said (in general) about individuals born in autumn? Summer? (e) What conclusion was drawn from the study?

(a) Does season of birth affect mood. (b) The 450 people in the study (c) Qualitative, nominal (d) People born in autumn are MORE LIKELY to HAVE MOOD SWINGS. People born in summer are LESS LIKELY to BE IRRITABLE. (e) Season of birth plays a role in one's temperament.

(a) What is the research objective? (b) What is the population being studied? What is the sample? (c) What are the descriptive statistics? (d) What is the conclusion of the study?

(a) To determine if duct tape is as effective as cryotherapy in the treatment of warts. (b) All people who have warts. The 60 patients with warts. (c) 60% of patients in group 1 and 77% of patients in group 2 had resolution of their warts. (d) Cryotherapy is significantly more effective than duct tape in treating warts.

(a) What is the research objective? (b) What is the population? (c) What is the sample? (d) List the descriptive statistics. (e) What can be inferred from this survey?

(a) To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar. (b) Adults in the country aged 18 years or older. (c) The 1005 adults in the country aged 18 years or older. (d) 36% of the individuals surveyed indicated that 51 cents or more is wasted. (e) The news service is 95% confident that the percentage of all adults in the country who believe the federal government wastes 51 cents or more of every dollar received is between 32% and 40%.

Determine whether the quantitative variable is discrete or continuous. Interceptions made by a defensive back

The variable is discrete because it is countable.

Explain the difference between a population and a sample.

A population is the entire group that is being studied while a sample is a subset of the population that is being studied.

A quality-control manager randomly selects 30 bottles of ketchup that were filled on July 15 to assess the calibration of the filling machine. What is the population in the study? What is the sample in the study?

Bottles of ketchup produced in the plant on July 15. The 30 bottles of ketchup selected in the plant on July 15.

A(n) ________ is a numerical summary of a sample.

Statistic

Determine whether the underline value is a parameter or a statistic. Explain your reasoning. A survey of 42 out of hundreds in a dining hall showed that 40.5% enjoyed their meal.

Statistic, because the data set of 42 people in a dining hall is a sample.

Determine whether the underlined value is a parameter or a statistic. One of the greatest baseball hitters of all time has a career batting average of 0.366.

The value is a parameter because the career at-bats of a baseball player are a population.

Determine whether the underline value is a parameter or a statistic. In a survey of 1,011 people age 50 or older, 73% agreed with the statement "I believe in life after death."

The value is a statistic because the 1,011 people age 50 or older are a sample.

Determine whether the underline value is a parameter or a statistic. A study of 6,076 adults in public rest rooms found that 23% did not wash their hands before exiting.

The value is a statistic because the 6,076 adults in public rest rooms are a sample.

Determine whether the underline value is a parameter or a statistic. In a national survey on substance abuse, 66.4% of respondents who were full-time college students aged 18 to 22 reported using alcohol within the past month.

The value is a statistic because the respondents who were full-time college students 18 to 22 are a sample.

Determine whether the quantitative variable is discrete or continuous. Time to learn a song

The variable is continuous because it is not countable.


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