A researcher measures extroversion in 50 male and female twin pairs. The males had a mean extroversion score of 20. The females had a mean extroversion score of 22. The standard deviation of the difference scores was 3. Is there a difference between male and female twins in extroversion? a) Identify the independent and dependent variables. What are the levels of the IV? b) Identify your null and alternative hypotheses. Write them out in symbols and in words. c) What type of statistical test you will perform? d) What is the alpha level? What are the degrees of freedom? How many tails? What is your critical t value? e) Conduct a statistical test of the hypothesis. Write out the formula. Report the p-value. f) Interpret your results in English ( put into words, using words and symbols). Be sure to make a decision on whether you should reject or retain your null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher measures extroversion in 50 male and
female twin pairs. The males had a mean extroversion
score of 20. The females had a mean extroversion
score of 22. The standard deviation of the difference
scores was 3. Is there a difference between male and
female twins in extroversion? a) Identify the
independent and dependent variables. What are the
levels of the IV? b) Identify your null and alternative
hypotheses. Write them out in symbols and in words. c)
What type of statistical test you will perform? d) What is
the alpha level? What are the degrees of freedom? How
many tails? What is your critical t value? e) Conduct a
statistical test of the hypothesis. Write out the formula.
Report the p-value. f) Interpret your results in English (
put into words, using words and symbols). Be sure to
make a decision on whether you should reject or retain
your null hypothesis
Transcribed Image Text:A researcher measures extroversion in 50 male and female twin pairs. The males had a mean extroversion score of 20. The females had a mean extroversion score of 22. The standard deviation of the difference scores was 3. Is there a difference between male and female twins in extroversion? a) Identify the independent and dependent variables. What are the levels of the IV? b) Identify your null and alternative hypotheses. Write them out in symbols and in words. c) What type of statistical test you will perform? d) What is the alpha level? What are the degrees of freedom? How many tails? What is your critical t value? e) Conduct a statistical test of the hypothesis. Write out the formula. Report the p-value. f) Interpret your results in English ( put into words, using words and symbols). Be sure to make a decision on whether you should reject or retain your null hypothesis
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