(a) To determine To Calculate: The margin of error. Explanation Given: From a random sample, that had 100 students, from the population size of 12,000 students, 60% were in favour of the fact that the professors are good. Formula used: The calculated deviation for the normal distribution for these samples is 1 2 n × 100 % , where n is the sample size . Formula for Margin of error is as follows: Margin of error = ± 1 n × 100 % Calculation: Taking into consideration many random samples for the percentage of people who were satisfied with their professors, if a normal distribution curve is constructed and suppose the mean is r% then some samples will show that the percentage of people who found the professors good aremore than r% and some will show it is less than r% . The calculated standard deviation for the normal distribution for these samples is 1 2 n × 100 % , in which sample size is denoted by n . In the data approx. 95% of the samples have a% within standard deviations of 2 of the true mean percentage, r% (b) To determine To Calculate: A statement about the percentage of students from this campus think that the professors are good.

7th Edition

ISBN: 9780134683713

Author: Robert F. Blitzer

Publisher: PEARSON

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 12, Problem 21T

(a)

To determine

To Calculate: The margin of error.

(b)

To determine

To Calculate: A statement about the percentage of students from this campus think that the professors are good.

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Chapter 12, Problem 20T

Chapter 12, Problem 22T

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Chapter 12 Solutions

Thinking Mathematically (7th Edition)

Ch. 12.1 - CHECK POINT 1 A city government wants to conduct a...Ch. 12.1 - CHECK POINT 2 Explain why the sampling technique...Ch. 12.1 - CHECK POINT 3 Construct a frequency distribution...Ch. 12.1 - CHECK POINT 4 Use the classes in Table 12.3 to...Ch. 12.1 - CHECKPOINTS 5 Construct a stem-and-leaf plot for...Ch. 12.1 - A sample obtained in such a way that every member...Ch. 12.1 - Prob. 2CVC Ch. 12.1 - Fill in each blank so that the resulting statement...Ch. 12.1 - 4. Data can be displayed using a bar graph with...Ch. 12.1 - Prob. 5CVC

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