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Name: Find 98% confidence interval for te mean number minutes students are c
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Description: Find 98% confidence interval for te mean number minutes students are concentrating on their professon during a one hour statistics lecture. The study including 96 students who average 41.8 minutes concentrating on their professor during the tour lec

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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Find 98% confidence interval for te mean number minutes students are concentrating on their professon during a one hour statistics lecture. The study including 96 students who average 41.8 minutes concentrating on their professor during the tour lecture. The standard deviation was 12.9 minutes. Round answers to 3 decimal places where possible.

a. To compute the conficence interval use a ____ distribution.

b. With 98% confidence the population mean minutes of concentration is between ___and____minutes.

c. If many groups of 96 randomly selected member are studies, then a different confidence interval would be produced from each group. About ___% of these conficence intervals will contain the true population intervals cill contain the true population mean minutes of concentration and aboou ____% will not contain the true population mean minutes of concentration.

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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