# A researcher was interested in the use of a new method

A researcher was interested in the use of a new method for teaching statistics to students. She collected data from one group of students who had learned using standard teaching methods (the control group) and a group who were taught using the new teaching method (the experimental group). She believed that the group who was taught with the new method would have higher quiz scores (0 = lowest quiz score possible, 10 = highest quiz score possible) than those taught using the standard method. Using this information and the data provided below, answer each question below.

Control Group 5 6 4 4 6 7 2 4 6 6
Experimental Group 8 8 7 6 8 6 6 7 9 10

a. What is the research hypothesis?
b. What is the null hypothesis?
c. Will this require a one-tailed test or a two-tailed test?
d. What are the mean, standard deviation, and variance for the control group?
e. what is the SE for the control group?
f. What are the mean, standard deviation, and variance for the experimental group?
g. What is the SE for the experimental group?
NOTE: You can use this information to contemplate whether the two groups are likely to be significantly
different, however, you do NOT need to know for sure at this point. We will learn this after the midterm.
For now, our goal is to get ready for significance testing by knowing how to calculate these important
pieces of information.

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