(a) 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.

Thinking Mathematically plus NEW MyLab Math with Pearson eText -- Access Card Package (6th Edition)

6th Edition

ISBN: 9780321923233

Author: Robert F. Blitzer

Publisher: PEARSON

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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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Thinking Mathematically plus NEW MyLab Math with Pearson eText -- Access Card Package (6th Edition)

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The margin of error.

Solution Summary: The author calculates the margin of error for a random sample of 100 students, from the population size of 12,000 students.