UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, “On how many days in the past week did you consume at least one alcoholic drink?” a. Identify the population and the sample. b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond “zero” to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain. c. Is the numerical summary of 29% a sample statistic or a population parameter?

Question

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Answer 1

Textbook Question

Chapter 1, Problem 28CP

UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, “On how many days in the past week did you consume at least one alcoholic drink?”

a. Identify the population and the sample.
b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond “zero” to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.
c. Is the numerical summary of 29% a sample statistic or a population parameter?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

a.

Expert Solution

To determine

Identify the population and the sample.

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

b.

Expert Solution

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

c.

Expert Solution

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.

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Students have asked these similar questions

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)

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The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharing

Answer 2

Textbook Question

Chapter 1, Problem 28CP

UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, “On how many days in the past week did you consume at least one alcoholic drink?”

a. Identify the population and the sample.
b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond “zero” to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.
c. Is the numerical summary of 29% a sample statistic or a population parameter?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

a.

Expert Solution

To determine

Identify the population and the sample.

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

b.

Expert Solution

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

c.

Expert Solution

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.

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Answer 3

Textbook Question

Chapter 1, Problem 28CP

UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, “On how many days in the past week did you consume at least one alcoholic drink?”

a. Identify the population and the sample.
b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond “zero” to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.
c. Is the numerical summary of 29% a sample statistic or a population parameter?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

a.

Expert Solution

To determine

Identify the population and the sample.

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

b.

Expert Solution

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

c.

Expert Solution

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.

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Answer 4

Textbook Question

Chapter 1, Problem 28CP

UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, “On how many days in the past week did you consume at least one alcoholic drink?”

a. Identify the population and the sample.
b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond “zero” to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.
c. Is the numerical summary of 29% a sample statistic or a population parameter?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

a.

Expert Solution

To determine

Identify the population and the sample.

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

b.

Expert Solution

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

c.

Expert Solution

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

Identify the population and the sample.

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

b.

Expert Solution

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

c.

Expert Solution

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.

Answer 8

a.

Expert Solution

To determine

Identify the population and the sample.

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Identify the population and the sample.

Answer 13

Answer to Problem 28CP

The population is 40,858 members of the student body in Madison and the sample is 100 students who were asked to complete the questionnaire.

Answer 14

Explanation of Solution

The given information is that the out of 40,858 members, 100 students body in Madison were sampled and complete questionnaire is asked for the study of alcohol abuse among students. One of the question is asked in questionnaire was “On how many days in the past week did you consume at least one alcoholic drink ?”.

Population:

The total set of subjects of interest is termed as population.

Sample:

The subset of the population is termed as sample.

Here, it is observed that the 40,858 members of the student body in Madison represents the total set of subjects of interest. Therefore, the population is 40,858 members entire body in Madison. Also, it is observed that 100 students who were asked to complete the questionnaire are the subset of the population, 40,858 member of the student body in Madison.

Therefore, the sample is 100 students who were asked to complete the questionnaire.

Answer 15

b.

Expert Solution

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Check whether the meaning of 29% of the entire population of UW students would make the given response or not. Also explain.

Answer 20

Explanation of Solution

Here, it is observed that the 29% is only an estimate of the percentage of all students who responded that zero for the given question “On how many days in the past week did you consume at least one alcoholic drink?”. Therefore, 29% gave response for 100 students do not mean that 29% of the entire population of UW students would make this response.

Answer 21

c.

Expert Solution

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.

Answer 22

c.

Expert Solution

Answer 23

c.

Expert Solution

Answer 24

Expert Solution

Answer 25

To determine

Check whether the numerical summary of 29% is a sample statistic or population statistic.

Answer 26

Answer to Problem 28CP

The numerical summary of 29% is a sample statistic.

Answer 27

Explanation of Solution

Statistics:

The statistics are the summary measures of the samples.

Parameter:

The parameters are the summary measures of the populations.

Here, it is observed that the numerical summary of 29%is the summaries of the sample ‘100 students who were asked to complete the questionnaire’. Therefore, the numerical summary of 29% is a sample statistic.