In: Statistics and Probability
Experiment 3
Part 1:
Dr. Schwartz wanted to examine the hypothesis that smelling peppermint affects exercise intensity, so she used random assignment in her first experiment on this topic. The peppermint group exercised in a room in which a peppermint scent was released once each minute, while the no peppermint group exercised in an unscented room. She measured the distance participants cycled in 20 minutes on indoor bicycles. After she completed that first experiment, Dr. Schwartz realized that perhaps her results in the first experiment could be attributable to the failure of random assignment to balance the weight of participants in the two groups. Thinking that this alternative explanation might explain why she got nonsignificant results in the first experiment, she decided to match participants on weight. She randomly assigned the two heaviest participants to either the peppermint or no peppermint conditions by flipping a coin, and then randomly assigned the next two heaviest participants, and so on.
Using the data shown below, conduct the appropriate statistical test in SPSS to determine whether there is a statistically significant difference between how far the participants in the peppermint condition rode vs. how far participants in the no peppermint condition rode.
Peppermint | No Peppermint | |
Pair 1 | 2.3 | 2.0 |
Pair 2 | 2.7 | 3.1 |
Pair 3 | 3.4 | 3.5 |
Pair 4 | 3.0 | 1.9 |
What is the design of this experiment?
Single sample
Between subjects
Within subjects
What kind of samples are being used in this experiment?
Matched samples
Dependent samples
The samples are both matched and dependent
Same sample
What is the M for the Peppermint group? (answer to 2 decimal places)
What is the M for the No Peppermint group? (answer to 2 decimal places)
What is the standard deviation for the Peppermint group? (answer to 2 decimal places)
What is the standard deviation for the No Peppermint group?(answer to 2 decimal places)
What is the value of t based on the SPSS output?(answer to 2 decimal places)
What is the p value you see in the SPSS output? (answer to 3 decimal places)
Write a conclusion based on the output you reported in the questions immediately above. Be sure to report the appropriate statistic in APA style.
From the following list of words and symbols, create your APA-style conclusion. Please also use any necessary numbers and punctuation (they are NOT provided in this list), and please include spaces around symbols as needed.
Do not use any words that are not in this list. Use as few words as possible to convey the necessary information. You will NOT use all the words provided.
A
Cycle
Cycled
Did
Distance
Farther
Less
Longer
More
Not
Of
Participants
Peppermint
Same
Smell
Smelled
Than
The
They
When
Who
p
M
t
( )
= > < ≤ ≥
Part 2:
Next, Dr. Schwartz wanted to see what would happen if she had each participant cycle once in the peppermint condition and once in the no-peppermint condition. Participants were counterbalanced, with half of them cycling on Day 1 in the peppermint condition, and the other half cycling on Day 1 in the no peppermint condition. On Day 2, one week later, the participants cycled in the condition they had not yet completed.
Using the data shown below, conduct the appropriate statistical test in SPSS to determine whether there is a statistically significant difference between how far the participants rode in 20 minutes when in the peppermint condition vs. when they were in the no peppermint condition.
Peppermint | No Peppermint | |
Participant 1 | 2.5 | 2.0 |
Participant 2 | 3.8 | 3.1 |
Participant 3 | 3.8 | 3.3 |
Participant 4 | 3.1 | 2.6 |
Participant 5 | 2.7 | 2.0 |
Participant 6 | 2.8 | 2.2 |
Participant 7 | 2.9 | 2.8 |
Participant 8 | 3.5 | 3.1 |
What is the design of this experiment?
Between subjects
Single sample
Within subjects
What kind of samples are being used in this experiment?
Dependent samples
Matched samples
Same samples
What is the M for the Peppermint condition? (answer to 2 decimal places)
What is the M for the No Peppermint condition? (answer to 2 decimal places)
What is the standard deviation for the Peppermint condition? (answer to 2 decimal places)
What is the standard deviation for the No Peppermint condition?(answer to 2 decimal places)
What is the value of t you found in the SPSS output?
What is the value of p shown in the SPSS output? (Give the EXACT number shown in the actual SPSS output)
What is correct way to write the value of p in APA style based on what you answered in the previous question?
Write a conclusion based on the output you reported in the questions immediately above. Be sure to report the appropriate statistic in APA style.
You can (but are not required to) use the following list of words and symbols to create your APA-style conclusion. Please also use any necessary numbers and punctuation (they are NOT provided in this list), and include spaces as required around symbols.
Use as few words as possible to convey the necessary information. You will NOT use all the words provided.
A
Cycle
Cycled
Did
Distance
Farther
Less
Longer
More
Not
Of
Participants
Peppermint
Same
Smell
Smelled
Than
The
They
When
Who
p
M
t
( )
= > < ≤ ≥
Part 1:
Using the data shown below, conduct the appropriate statistical test in SPSS to determine whether there is a statistically significant difference between how far the participants in the peppermint condition rode vs. how far participants in the no peppermint condition rode.
Peppermint |
No Peppermint |
|
Pair 1 |
2.3 |
2.0 |
Pair 2 |
2.7 |
3.1 |
Pair 3 |
3.4 |
3.5 |
Pair 4 |
3.0 |
1.9 |
Within subjects
Matched samples
SPSS output
Paired Samples Statistics |
|||||
Mean |
N |
Std. Deviation |
Std. Error Mean |
||
Pair 1 |
Peppermint |
2.8500 |
4 |
0.46547 |
0.23274 |
No Peppermint |
2.6250 |
4 |
0.79739 |
0.39870 |
Paired Samples Test |
|||||||||
Paired Differences |
t |
df |
Sig. (2-tailed) |
||||||
Mean |
Std. Deviation |
Std. Error Mean |
95% Confidence Interval of the Difference |
||||||
Lower |
Upper |
||||||||
Pair 1 |
Peppermint - No Peppermint |
0.22500 |
0.65000 |
0.32500 |
-0.80930 |
1.25930 |
0.692 |
3 |
0.539 |
From the following list of words and symbols, create your APA-style conclusion. Please also use any necessary numbers and punctuation (they are NOT provided in this list), and please include spaces around symbols as needed.
The participants with the peppermint smelled rode the cycle same distance as the no peppermint smelled , t(3)=0.69, p=0.539.
Part 2:
Within subjects
Same samples
SPSS output
Paired Samples Statistics |
|||||
Mean |
N |
Std. Deviation |
Std. Error Mean |
||
Pair 1 |
Peppermint |
3.1375 |
8 |
0.50409 |
0.17822 |
No Peppermint |
2.6375 |
8 |
0.52082 |
0.18414 |
Paired Samples Test |
|||||||||
Paired Differences |
t |
df |
Sig. (2-tailed) |
||||||
Mean |
Std. Deviation |
Std. Error Mean |
95% Confidence Interval of the Difference |
||||||
Lower |
Upper |
||||||||
Pair 1 |
Peppermint - No Peppermint |
0.50000 |
0.19272 |
0.06814 |
0.33888 |
0.66112 |
7.338 |
7 |
0.000 |
The participants with the peppermint smelled rode the cycle distance longer than the no peppermint smelled , t(7)=7.34, p<0.001.