Answered: Independent t: The Department of Motor…

Name: Independent t: The Department of Motor Vehicles (DMV) enlisted the he
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Description: Independent t: The Department of Motor Vehicles (DMV) enlisted the help of a social psychology professor to design a study to see if the attractiveness of the driving instructor affected the performance of young drivers. Thirty 16-year-olds going to

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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Independent t: The Department of Motor Vehicles (DMV) enlisted the help of a social psychology professor to design a study to see if the attractiveness of the driving instructor affected the performance of young drivers. Thirty 16-year-olds going to take the driving exam were randomly assigned to an attractive or unattractive driving instructor. For 20 of the drivers, the instructor was very attractive; for the other 10 drivers, the instructor was rated as being very unattractive. A panel of judges rated the performance of the two groups, and the mean performance ratings for the 16-year-olds with attractive instructors was 4.3 (S = .86) and with unattractive instructors, the mean was 5.4 (S = 1.30). Using the .05 significance level, did the attractiveness levels of the driving instructor affect driving performance?

Use the five steps of hypothesis testing.
Sketch the distributions involved.
Figure the effect size.
Interpret your result placing it back into the context of the original question.

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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