Answered: A researcher is interested in whether…

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 researcher is interested in whether people are more or less likely to enjoy popcorn when they are watching TV versus watching a movie. The researcher recruits 12 participants and randomly assigns them to eat popcorn either while watching T or while watching a movie. Then, the researcher measures now much each participant enjoyed the popcorn on a scale from 1 to 10. The researchers' results are shown below: Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the researcher should conclude about the effect of watching television versus watching a movie on people's enjoyment of popcorn. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = .05), determine the critical values 6. Calculate the test statistic 7. State whether you reject or fail to reject the null hypothesis 8. Calculate and report a measure of effect size . 9. Based on the results of your analysis, do people enjoy popcorn more when they are watching TV or when they are watching a movie, or is there no difference?

TV
24425
1
M₁ = 3.00
S1 = 1.55
Movie
3
οποίο
6
6
5
4
6
M₂= 5.00
S2 = 1.26

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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