Question 5 refers to an experiment on how fast we make snap judgments about the friendliness of people we meet for the first time. Assume that we know that the population mean time of judging friendliness by viewing photographs of faces is m=360 (msec) with a standard deviation of s=40. The researchers believe aggressive children are slower (i.e. take longer) to make these judgments. The researchers gather data from 10 aggressive children viewing photos, and their data are shown in the table below (in milliseconds). Keep in mind that the larger the number, the longer it took participants to make the judgments. 5. a. Conduct all six steps of hypothesis testing (use p=.05). Be sure to label all six steps (you do NOT need to create a conclusion statement or calculate effect size, but IF you find a significant difference, describe what that difference is). Participant # Time to judge Faces (msec) 1 362 2 360 3 386 4 320 5 396 6 405 7 392 8 395 9 416 10 328 Mean 376 s 32.40 5b. Assume the researchers had 30 participants in their sample. Conduct steps 3-6 of the six steps of hypothesis testing (you do NOT need to create a conclusion statement or calculate effect size, but IF you find a significant difference, describe what that difference is). Does your decision change? If it does change, does this mean that the actual difference between groups changed? Explain. If it does not change, explain why it does not change.

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 5 refers to an experiment on how fast we make snap judgments about the friendliness of people we meet for the first time. Assume that we know that the population mean time of judging friendliness by viewing photographs of faces is m=360 (msec) with a standard deviation of s=40. The researchers believe aggressive children are slower (i.e. take longer) to make these judgments. The researchers gather data from 10 aggressive children viewing photos, and their data are shown in the table below (in milliseconds). Keep in mind that the larger the number, the longer it took participants to make the judgments.

5. a. Conduct all six steps of hypothesis testing (use p=.05). Be sure to label all six steps (you do NOT need to create a conclusion statement or calculate effect size, but IF you find a significant difference, describe what that difference is).

Participant #	Time to judge Faces (msec)
1	362
2	360
3	386
4	320
5	396
6	405
7	392
8	395
9	416
10	328
Mean	376
s	32.40

5b. Assume the researchers had 30 participants in their sample. Conduct steps 3-6 of the six steps of hypothesis testing (you do NOT need to create a conclusion statement or calculate effect size, but IF you find a significant difference, describe what that difference is). Does your decision change? If it does change, does this mean that the actual difference between groups changed? Explain. If it does not change, explain why it does not change.

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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