Answered: A college professor randomly selected…

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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Question

A college professor randomly selected one of her classes and timed, in minutes how long it took each of her 25 students to complete the exam. The confidence interval was used in Statcrunch in the picture A. What is the value of the point estimate for the confidence interval. Refer to the picture B. According to the output, what is the confidence interval? Round to two decimal place C. Identify the following statements true or false 1. 95% confidence interval means that 95% of the sample mean values will be within our interval. 2. Based on our confidence interval, it is believable that the parameter is 47 minutes 3. If we obtain a different sample of the same size our confidence interval will be different

Options
One sample T summary confidence interval:
: Mean of population
95% confidence interval results
Mean Sample Mean Std. Ern. DE L Limit
U. Limit
51 1.807392214 47,123529 54.876471

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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