Stats Test #1

Categorical or quantitative: Choice of auto (domestic or import)

Categorical

Categorical or quantitative: Choice of diet (vegetarian, non-vegetarian)

Categorical

Categorical or quantitative: Country of residence

Categorical

Categorical or quantitative: Gender (male, female)

Categorical

Is the term "place of birth" quantitative or categorical?

Categorical

Nominal, ordinal, or interval: Number of children in a family (0, 1, 2...)

Interval

Nominal, ordinal, or interval: Test scores (0-100% is the range for the scores)

Interval

Nominal, ordinal, or interval: Years of school completed (0,1,2...)

Interval

National Geographic Traveler magazine recently presented data on the annual number of vacation days averaged by residents of eight different countries. They reported 42 days for Italy, 37 for France, 35 for Germany, 34 for Brazil, 28 for Britain, 26 for Canada, 25 for Japan, and 13 for the United States. Find the mean and standard deviation:

Mean: 30 Standard deviation: 9.01

National Geographic Traveler magazine recently presented data on the annual number of vacation days averaged by residents of eight different countries. They reported 42 days for Italy, 37 for France, 35 for Germany, 34 for Brazil, 28 for Britain, 26 for Canada, 25 for Japan, and 13 for the United States. Report the 5-number summary

Min: 13 Median: 31 𝑄1: 23.5 𝑄3: 36 Max: 42

Nominal, ordinal, or interval: College major (education, anthropology, physics, sociology...)

Nominal

Nominal, ordinal, or interval: Gender (male, female)

Nominal

Nominal, ordinal, or interval: Political party affiliation (Democrat, Republican, Independent)

Nominal

Nominal, ordinal, or interval: Religious affiliation (Christianity, Islam, Hinduism, Buddhism, Jewish, Other, None)

Nominal

Nominal, ordinal, or interval: Attitude toward legalization of marijuana (favor, neutral, oppose)

Ordinal

Table 1 shows the number(in millions) of the foreign-born population of the United States by place of the birth. Table 1: Place of birth: Number: Europe 45 Asia 10.1 Caribbean 3.6 Central America 4.4 South America 2.4 Construct a relative frequency distribution:

Place of birth Frequency Relative Frequency Europe 4.5 0.128 or 12.8% Asia 10.1 0.289 or 28.9% Caribbean 3.6 0.103 or 10.3% Central America 14.4 0.411 or 41.1% South America 2.4 0.069 or 6.9%

Categorical or quantitative: Distance (in miles) commuted to work

Quantitative

Categorical or quantitative: Time spent in the previous month browsing the internet

Quantitative

Categorical or quantitative: Number of pets in a family

Quantitative

A sociologist wants to estimate the average age of marriage for women in New England in the early eighteenth century. She finds within the state archives marriage records for a large Puritan village for the years 1700-1730.She then takes a sample of those records, noting the age of the bride for each. The average age in the sample is 24.1 years. Using a statistical method from Chapter 5, the sociologist estimates the average age of brides at marriage for the population to be between 23.5 and 24.7 years. To what population does the inference refer?

The population of New England in the early 18th century

A teacher shows her class the scores on the midterm exam in the stem and leaf plot. 6:5 8 8 7:0 1 1 3 6 7 7 9 8:1 2 2 3 3 3 4 6 7 7 7 8 9 9:0 1 1 2 3 4 4 5 8 9 Identify the number of the students and the minimum and maximum scores:

There's 33 students Min: 65 Max: +98

10.) In a General Social Survey, in response to the question "Do you believe in heaven?" 1127 people answered "yes" and 199 answered "no." (a) Estimate the probability that a randomly selected adult in the United States believes in heaven. (b) Estimate the probability that an American adult does not believe in heaven. (c) Of those who believe in heaven, about 84% believe in hell. Estimate the probability that a randomly chosen American adult believes in both heaven and hell.

a: 11271326≈0.85 b: 1991326≈0.15 c: (0.85)(0.84)=0.714

A report indicates that teacher's total annual pay in Toronto, Ontario has a mean of $61,000 and standard deviation of $10,000(Canadian Dollars). Suppose the distribution has approximately a bell shape. (a)Give an interval of values that contains about... i)68% ii)95% iii)all or nearly all salaries

i.) (51,000, 71,000); ii.) (41,000, 81,000); iii.) (31,000, 91,000)

A sociologist wants to estimate the average age of marriage for women in New England in the early eighteenth century. She finds within the state archives marriage records for a large Puritan village for the years 1700-1730.She then takes a sample of those records, noting the age of the bride for each. The average age in the sample is 24.1 years. Using a statistical method from Chapter 5, the sociologist estimates the average age of brides at marriage for the population to be between 23.5 and 24.7 years. What part of this example is inferential?

"...the sociologist estimates the average age of brides at marriage for the population to be between 23.5 and 24.7 years"

A sociologist wants to estimate the average age of marriage for women in New England in the early eighteenth century. She finds within the state archives marriage records for a large Puritan village for the years 1700-1730.She then takes a sample of those records, noting the age of the bride for each. The average age in the sample is 24.1 years. Using a statistical method from Chapter 5, the sociologist estimates the average age of brides at marriage for the population to be between 23.5 and 24.7 years. What part of this example is descriptive?

"The average age in the sample is 24.1 years"

In a cluster random sample with equal-sized clusters, every subject has the same chance of selection. However, the sample is not a simple random sample. Explain why not?

Because every possible sample is not equally likely to be chosen. For example, the probability is 0% for a sample for which everyone is in the same cluster

In a systematic random sample, every subject has the same chance of selection, but the sample is not a simple random sample. Explain why?

Because you have to skip over subjects, so two subjects that are next to each other cannot be in the same sample