- The following summary table corresponds to a hypothetical experiment in which subjects must complete a mental task at five levels of difficulty and with three different levels of reward. Much of the table has deliberately been left blank, but all of the missing entries can be found by using the information in the previous sentence and the information in the table (hint: start with the df column – it will make your life a lot easier!):
source SS Df MS F
difficulty 100 ? ? ?
reward 150 ? ? ?
interaction ? ? 5 ?
Within ? 90 ?
Total 1190
a. Fill in all the missing blanks in the table
b. State the null and alternative hypotheses
c. State your conclusions - Dan has heard that assisting victims of natural disasters increases feelings of moral purpose in college students. He completes a diary study where students are asked to record thoughts about their moral worth each day, and he counts the number of statements each person makes about moral purpose. The data meet all of his assumptions and he uses α = 0.05.
Non-Assisting Disaster Assisting
1 4
2 3
3 5
2 4
3 3
4 5
Mean=2.5 Mean=4
S2=1.1 S2=0.8
IF THESE DATA WERE COLLECTED FROM TWO DIFFERENT GROUPS OF PEOPLE,
a. Provide the null and alternative hypotheses for the appropriate test in symbols and in words.
b. Set up the criteria for making a decision. That is, find the critical value(s).
c. Summarize the data into the appropriate test statistic
d. State your conclusion. Did you reject or fail to reject the null hypothesis? What does this indicate in terms of your original research question?
e. What are some confounding variables in this study?
IF THESE DATA WERE COLLECTED FROM THE SAME PEOPLE TESTED TWICE,
f. Provide the null and alternative hypotheses for the appropriate test in symbols and in words.
g. Set up the criteria for making the decision (that is, find the rejection region)
h. Test the new hypothesis and state your conclusions clearly.
i. What are some potential confounding variables in this study?
- Listen to the following podcast (link here: https://www.wnycstudios.org/story/dutee/) and explain how you think the story of Dutee and biological sex testing in the Olympics is related to type I and type II errors