Statistics Homework 1.1-1.2
The list of books that your friend read for school for the past five months is shown below. The Forgotten Kiss The Dead Gone Girl The Racketeer Private London Identify the level of measurement of the data set. Explain your reasoning.
Nominal. The data are categorized using names, labels, or qualities, but the data cannot be ranked or arranged in order.
What is the data set's level of measurement? Explain your reasoning. The jersey numbers for players on a basketball team are listed below. 4 20 65 18 8 7 6 19 26 17 5 15 10
Nominal. The data are categorized using numbers, but no mathematical computations can be made.
Name each level of measurement for which data can be qualitative.
Ordinal Nominal
Name each level of measurement for which data can be quantitative.
Ordinal Ratio Interval
The average age of men who have walked on the moon was 39 years, 11 months, 15 days. Is the value a parameter or a statistic?
Parameter
Determine whether the data set is a population or a sample. Explain your reasoning. The salary of each baseball player in a league.
Population, because it is a collection of salaries for all baseball players in the league.
Determine whether the data set is a population or a sample. Explain your reasoning. The number of garages for each house on a street.
Population, because it is a collection of the number of garages for all houses on the street.
What is the difference between a parameter and a statistic?
A parameter is a numerical description of a population characteristic. A statistic is a numerical description of a sample characteristic.
How is a sample related to a population?
A sample is a subset of a population.
A statistic is a measure that describes a population characteristic. True or False?
False. A statistic is a measure that describes a sample characteristic.
Data at the ordinal level are quantitative only.
False. Data at the ordinal level can be qualitative or quantitative.
More types of calculations can be performed with data at the nominal level than with data at the interval level.
False. More types of calculations can be performed with data at the interval level than with data at the nominal level.
Determine whether the data set is a population or a sample. Explain your reasoning. The ages of three families of people in an apartment building housing ten families.
Sample, because the collection of ages for three families of people is a subset of all people living in the building.
A study of 895 senior citizens shows that participants who exercise regularly exhibit less of a decline in the cognitive ability than those who barely exercise at all. From this study, a researcher infers that your cognitive ability increases the more you exercise. What is wrong with this type of reasoning?
The inference may incorrectly imply that exercise increases a person's cognitive ability. The study shows a slower decline in cognitive ability.
Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. Sixty−three of the 98 passengers aboard an airship survived an explosion.
The number is a population parameter because it is a numerical description of all of the passengers that survived.
Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. A survey of 2208 adults in a country found that 84% think that militant terrorists are a major threat to the well-being of their country.
The number is a sample statistic because it describes
For data at the interval level, you cannot calculate meaningful differences between data entries.
The statement is false. A true statement is "For data at the interval level, you can calculate meaningful differences between data entries."
Determine whether the variable is qualitative or quantitative. Explain your reasoning. Breeds of dogs
The variable is qualitative because breeds are attributes or labels.
Determine whether the variable is qualitative or quantitative. Explain your reasoning. Species of fish in a lake
The variable is qualitative because species are attributes or labels.
Determine whether the variable is qualitative or quantitative. Explain your reasoning. Time to finish a marathon
The variable is quantitative because time is found by measuring or counting.
Determine whether the variable is qualitative or quantitative. Explain your reasoning. Wait times at doctor offices.
The variable is quantitative because wait times are numerical measurements.
Suppose a survey of 938 homeowners found that more than 29% bought flood insurance. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey. a) Choose the best statement of the descriptive statistic in the problem. b) Choose the best inference from the given information.
a) 29% of homeowners in the sample bought flood insurance. b) Most homeowners do not buy flood insurance.
Suppose a survey of 528 women in the United States found that more than 60% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey. a) Choose the best statement of the descriptive statistic in the problem. b) Choose the best inference from the given information.
a) 60% of women in the sample are the primary investor in their household. b) There is an association between U.S. women and being the primary investor in their household.
In a poll, 1,005 adults in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, 48% said that they were in favor. Identify the population and the sample. a)What is the population in the given problem? b)Identify the sample for the given problem.
a) All adults in the country b) The 1,005 adults selected
The following appears on a physician's intake form. Identify the level of measurement of the data. (a) Pain level (scale of 0 to 10) (b) Allergies (c) Height (d) Year of birth a) What is the level of measurement for "Pain level (scale of 0 to 10)"? b) What is the level of measurement for "Allergies"? c) What is the level of measurement for "Height"? d) What is the level of measurement for "Year of birth"?
a) Ordinal b) Nominal c) Ratio d) Interval
The graph shows the responses to the question, "How serious is global warming?" Identify the level of measurement of the data listed on the horizontal and vertical axes in the graph. A bar graph has a horizontal axis labeled " Response " with classes A through E and a vertical axis labeled " Percent " from 0 to 50 in increments of 10. The classes are as follows, with the label listed first and class second: A, Very serious; B, Somewhat serious; C, Not too serious; D, Not serious; E, Unsure. There are vertical bars with labels and heights as follows: A, 22; B, 33; C, 18; D, 11; E, 16.ABCDE01020304050Percent A: Very serious B: Somewhat serious C: Not too serious D: Not serious E: Unsure a) Identify the level of measurement of the data listed on the horizontal axis in the graph. b) Identify the level of measurement of the data listed on the vertical axis in the graph.
a) Ordinal b) Ratio
The region of a country with the highest level of food production for the past six years is shown below. Southwest Western Northwest Southeast Northern Western a) Determine whether the data are qualitative or quantitative b) Identify the data set's level of measurement.
a) Qualitative b) Nominal
The temperatures (in °C) of water samples taken simultaneously in a large lake are shown below. 17.7 17.8 19.5 20.1 17.2 15.1 17.5 20.1 15.2 a) Determine whether the data are qualitative or quantitative b) Identify the data set's level of measurement.
a) Quantitative b) Interval
Use the Venn diagram to identify the population and the sample. (The party of registered voters in a certain county[The party of registered voters in the county who responded to a survey]) a) Choose the correct description of the population. b) Choose the correct description of the sample.
a) The party of registered voters in the county b) The party of registered voters in the county who responded to a survey
A survey of 141 law firms in a country found that the average hourly billing rate for partners was $621. a) Identify the population. b) Identify the sample. c) Describe the sample data set.
a) all law firms in the country b) all law firms that were surveyed c) the average hourly billing rate for partners of 141 law firms was $621.
Determine whether the variable is qualitative or quantitative. Explain your reasoning. Street name of address
he variable is qualitative because street name describes an attribute or characteristic