The information that is needed to find whether the given mean value belongs to a statistic or parameter.

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Answer 1

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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 + ...

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?

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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means is on the left below, and that of the 50 confidence intervals is on the right. 1. What does each dot on the left hand dotplot represent? StatKey Sampling Distribution for a Mean Percent with Internet Access (Countries) ▾ Show Data Table Edit Data Choose samples of size n = 20 Upload File Change Column(s) Generate 1 Sample Generate 10 Samples Generate 100 Samples Generate 1000 Samples Reset Plot Sampling Dotplot of Mean Left Tail Two-Tail Right Tail 60 50 40 40 30 20 20 10 samples = 50 mean = 41.626 std. error = 5.089 : .: : :: 0 25 30 35 40 45 50 55 60 41.626 Data Plots Confidence Intervals 95%-> Confidence Intervals Coverage 48/50 = 96% 20 40 60 80 2. Circle the confidence intervals that failed to capture the true mean. 3. Circle the sample means that produced those…

Example 4 (Part 1) One of the datasets in the Lock book contains information about 215 countries of the world. One of the variables is the percentage of people in the country who have access to the internet. We have data for 203 of those countries. The plot on the right shows a dotplot of the data. 1. What are the cases? Population n = 203, mean = 43.024 median = 43.5, stdev = 29.259 20 2. What does each dot on the dotplot represent? 15 10 5 20 40 43.024 60 80 3. What type of data is do we collect from the cases, quantitative or categorical?

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information. x 63 79 70 80 84 87 y 46 49 45 55 57 58 Find Se. Round your answer to three decimal places.

Answer 2

Question

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 + ...

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?

Want to see more full solutions like this?

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

Answer 3

Question

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 + ...

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?

Want to see more full solutions like this?

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

Answer 4

Question

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 + ...

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?

Want to see more full solutions like this?

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

Answer 5

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?

Answer 6

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?

Answer 7

Chapter 11, Problem 11.1E

To determine

To explain: The information that is needed to find whether the given mean value belongs to a statistic or parameter.

Answer 8

Expert Solution & Answer

Explanation of Solution

Given information:

The mean score of 105.3 for the students of a specific school.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

The mean is the average of the data, which can be calculated for both mean and population data.

In this case, it is mentioned that the mean value of the scores of the students is 105.3. The mean value is obtained from the students of the specific school. If the mean value is calculated from the sample of the students, it will be considered a statistic; otherwise, it will be considered a parameter.

To find whether the given value is mean belongs to a statistic or parameter, one should ask the experimenter about the purpose of the study. The experiment should include information on whether the study is conducted to know the mean score of the specific school only or if it will be used to infer the larger population (about other schools too). Suppose the study is conducted only to infer the school's mean score. In that case, it will be considered a parameter, or if it is going to be used to infer the larger population, it will be considered a statistic.

Hence, for the information required to find whether the given mean value belongs to a statistic or parameter, one should ask the question about the use of the study. The question will be, “Are the students at this school the only ones required to be concluded, or will the study represent a bigger population?