### General Statistics: Ch 1, Sec 1.3 HW

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This course is designed to acquaint the student with the principles of descriptive and inferential statistics. Topics will include: types of data, frequency distributions and histograms, measures of central tendency, measures of variation, probability, probability distributions including binomial, normal probability and student's t distributions, standard scores, confidence intervals, hypothesis testing, correlation, and linear regression analysis. This course is open to any student interested in general statistics and it will include applications pertaining to students majoring in athletic training, pre-nursing and business.

College: First year, College: Second year, College: Third year, College: Fourth year

1

Determine whether the given value is a statistic or a parameter.

A survey found that 30 % of all respondents go to school.

The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

2

Determine whether the given value is a statistic or a parameter.

A sample of students is selected and it is found that 50 % own a computer.

Statistic because the value is a numerical measurement describing a characteristic of a sample.

3

A particular country has 45 total states. If the areas of 20 states are added and the sum is divided by 20​, the result is 186 comma 979 square kilometers. Determine whether this result is a statistic or a parameter.

The result is a statistic because it describes some characteristic of a sample.

4

Determine whether the given value is from a discrete or continuous data set.

When a car is randomly​ selected, it is found to have an engine with 4 cylinders.

It is from a discrete data set because the number of possible values is finite or countable.

5

Determine whether the value given below is from a discrete or continuous data set.

When a car is randomly selected and weighed, it is found to weigh 1851.5 kg.

A continuous data set because there are infinitely many possible values and those values cannot be counted.

6

Determine whether the value is from a discrete or continuous data set.

Number of bacteria in a petri dish is 12,120

Discrete

7

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

States in a region

Nominal

8

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

Ranks of cars evaluated by a consumer's magazine

The ordinal level of measurement is most appropriate because the data can be ordered, but differences cannot be found or are meaningless.

9

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

The ratio level of measurement is most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting zero point.

10

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

Bushels of wheat

The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural starting zero point.

11

In a​ survey, the responses of respondents are identified as 10 for a "yes", 20 for a "no", 30 for a "maybe", and 40 for anything else. The average​ (mean) is calculated for 715 respondents and the result is 22.3.

Identify the level of measurement of the​ data.

Explain what is wrong with the given calculation.

The data are at the nominal level of measurement.

Such data are not counts or measures of​ anything, so it makes no sense to compute their average​ (mean).

12

In a set of​ data, blood lead levels are represented as 10 for low, 20 for medium, and 30 for high. The average​ (mean) of the 529 blood lead levels is 25.4.

Identify the level of measurement of the​ data.

Explain what is wrong with the given calculation.

The data are at the ordinal level of measurement.

Such data should not be used for calculations such as an average.

13

Which of the following is associated with a​ parameter?

A parameter is a numerical measurement describing some characteristic of a population.​ So, a parameter is associated with data that were obtained from an entire population.

14

Which of the following consists of discrete​ data?

The number of suitcases on a plane is a number representing a count. This would consist of discrete data.

15

Which level of measurement consists of categories only where data cannot be arranged in an ordering​ scheme?

The nominal level of measurement is characterized by data that consist of​ names, labels, or categories only. The data cannot be arranged in an ordering scheme​ (such as low to​ high).

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