Answered: A community college instructor wanted…

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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A community college instructor wanted to check if the amount of time they estimated to complete online homework weekly was accurate for all of the students they taught.

In a sample of 25 currently enrolled students, the mean amount of time the sample spent working on online homework weekly was 18.4 hours. Assume the population of weekly time spent on online homework is normally distributed with a population standard deviation of 5.1 hours.

Create a 99% confidence interval estimate for the true population mean amount of time spent weekly working on online homework.

Fill in the following blanks by computing the lower and upper boundaries for the confidence interval. Round your final answer to one decimal place (to the nearest tenth). Only type in your numerical decimal answer, you do not need to units/hours.

____________ hours < μ < ____________ hours

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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