A researcher was interested in learning about the effect of
caffeine consumption on problem solving. To examine this
relationship, participants were randomly selected and assigned to
one of four conditions: no caffeine consumption, 100 mg dosage of
caffeine, 200 mg dosage of caffeine, or 300 mg dosage of caffeine.
The participants were then asked to solve as many anagrams* as
possible in a 5 minute period. The results of the study are
presented below.
*Anagrams are word puzzles that are solved by rearranging the
letters so that each letter is used exactly once to create a new
word, for example: No Eagle in Jail = Angelina Jolie or Balk Tables
= Basketball.
No Caffeine Group
3
7
4
4
3
8
8
4
4
7
1
5
3
8
5
6
100 mg Group
6
8
9
8
11
10
7
5
5
8
8
5
7
7
9
7
200 mg Group
3
11
6
6
5
8
6
6
8
8
6
9
7
8
9
6
300 mg Group
6
5
7
6
7
5
9
4
10
8
7
7
9
5
3
6
Is there a significant difference in the number of anagrams
solved across the different levels of caffeine consumption? Conduct
a hypothesis test using an alpha level of .05. Be sure to include
all 4 steps of the hypothesis test.
Step 1: State hypotheses (µ may be produced by using
alt+m)
Step 2: Determine critical F value
Step 3: Report F ratio
Step 4: Make a decision regarding Ho