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Name: A professor in the women’s studies program believes that the amount of
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Description: A professor in the women’s studies program believes that the amount of smoking by women has increased in recent years. A complete census taken 2 years ago of women living in a neighbourng city showed that the mean number of cigarettes smoked daily by

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 professor in the women’s studies program believes that the amount of smoking by women has increased in recent years. A complete census taken 2 years ago of women living in a neighbourng city showed that the mean number of cigarettes smoked daily by the women was 5.0 with a standard deviation of 2.2. To assess her belief, the professor determined the daily smoking rate of random sample of 121 women currently living in that city. The data show that the number of cigarettes smoked daily by the 121 women has a mean of 6.1 and a standard deviation of 2.7.

Is the professor’s belief correct? Assume a directional alternative hypothesis is appropriate and use an alpha = to 0.05_1-tailed in making your decision. Be sure that the most sensitive test is used to analyze the data.
Assume the population standard deviation is unknown and reanalyze the data using the same alpha level. What is your conclusion this time?
Determine the size of effect found in part b and provide an interpretation according to Cohen’s criteria

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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