Researchers measured the mood of 12 participants before and after watching a funny video clip. Higher values on the scale indicate a happier mood. The mean of the difference scores = 0.51, with a standard deviation of 1.24. Did mood change after watching the clip? STEP 1. Identify the variable, names of the groups being compared, and numerical information provided. • Variable: • Population/condition of interest: • Comparison population/condition: STEP 2. State the research and null hypotheses in words and symbols • Research: • Null: STEP 3. Characteristics of the comparison distribution. Identify/calculate the mean and standard deviation of the comparison distribution. Label the distribution. STEP 4. Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s). STEP 5. (a.) Calculate the test statistic, mark and label it on the comparison distribution. (b.) Use a Quick P-Value calculator (c.) Calculate effect size. STEP 6. State the hypothesis-testing conclusion, in words in terms of this test, including effect size if the test result is statistically significant. STEP 7. IF the hypothesis-testing result is an error, what type of error is it - Type I or Type II? Explain what this error would be in words in terms of this test of hypothesis. STEP 8. Calculate a 95% confidence interval. Show the formulas, the numbers plugged in, and final answers. Interpret your confidence interval

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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Researchers measured the mood of 12 participants before and after watching a funny video clip. Higher values
on the scale indicate a happier mood. The mean of the difference scores = 0.51, with a standard deviation of 1.24.
Did mood change after watching the clip?
STEP 1. Identify the variable, names of the groups being compared, and numerical information provided.
• Variable:
• Population/condition of interest:
• Comparison population/condition:
STEP 2. State the research and null hypotheses in words and symbols
• Research:
• Null:
STEP 3. Characteristics of the comparison distribution.
Identify/calculate the mean and standard deviation of the comparison distribution. Label the distribution.

STEP 4. Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s).
STEP 5. (a.) Calculate the test statistic, mark and label it on the comparison distribution. (b.) Use a Quick P-Value
calculator (c.) Calculate effect size.
STEP 6. State the hypothesis-testing conclusion, in words in terms of this test, including effect size if the test result
is statistically significant.
STEP 7. IF the hypothesis-testing result is an error, what type of error is it - Type I or Type II? Explain what this error would be in words in terms of this test of hypothesis.
STEP 8. Calculate a 95% confidence interval. Show the formulas, the numbers plugged in, and final answers.
Interpret your confidence interval

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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