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Description: In a study of academic procrastination, the authors of a paper reported that for a sample of 20 undergraduate students at a midsize public university preparing for a final exam in an introductory statistics course, the mean time spent studying for th

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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In a study of academic procrastination, the authors of a paper reported that for a sample of 20 undergraduate students at a midsize public university preparing for a final exam in an introductory statistics course, the mean time spent studying for the exam was 5 hours and the standard deviation of study times was 2.2 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory statistics at this university.

A) What is an appropriate distribution for this data set and why?

The problem should use the t-distribution since the sample standard deviation is unknown.The problem can be assumed to be normal since n > 30. The problem should use the t-distribution since the population standard deviation is unknown.

B) Construct a 98% confidence interval for the true population mean.
Lower Bound =

Upper Bound =

C) Construct a 99% confidence interval for the true population mean.

Lower Bound =

Upper Bound =

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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