Answered: Randomly selected High School students…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Randomly selected High School students were asked how many hours they play computer games per week Sample size and sample statistics are provided below: -Sample size: 101 students -Sample Mean: 8.3 hours -Sample Standard Deviation: 5.2 hours a.) Determine the 95% Confidence Interval for mean hours spent playing computer games by all High School students per week. Finalize your work by filling in the blanks to complete the summary sentence (provided below) Summary: (Complete this sentence) -With 95% confidence, the mean number of hours high school students spend playing computer games is between _______________ and ______________ hours per week. b.) The sample mean of 8.3 hours is your best point estimate for the population mean. At the 95% confidence level, what is the margin of error associated with this estimate?

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 + ...

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