Explanation Given information: On one campus, 95 % of students worked 6 to 12 hours per week and number of hours worked is normally distributed. Formula used: According to the empirical rule of finding probability for a normally distributed data set, if μ is the mean of the data set and σ is the standard deviation then, P ( μ − σ < x < μ + σ ) = 0.682 P ( μ − 2 σ < x < μ + 2 σ ) = 0.95 P ( μ − 3 σ < x < μ + 3 σ ) = 0.997 Calculation: As it is provided that 95 % of students worked 6 to 12 hours per week and number of hours worked is normally distributed. If h represent the number of hours worked by the students, the above condition can be appropriately represented as, P ( 6 < h < 12 ) = 0.95 As per the empirical formula for probability in normal distribution, P ( μ − σ < x < μ + σ ) = 0

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Estimation

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 4.1, Problem 5A

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To calculate: The mean and standard deviation of number of hours worked if on one campus, 95% of students worked 6 to 12 hours per week and number of hours worked is normally distributed.

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The mean and standard deviation of number of hours worked if on one campus, 95 % of students worked 6 to 12 hours per week and number of hours worked is normally distributed .

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To calculate: The mean and standard deviation of number of hours worked if on one campus, 95% of students worked 6 to 12 hours per week and number of hours worked is normally distributed.

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