Students wanted to see whether exercising (in particular doing jumping jacks) wo
ID: 3276677 • Letter: S
Question
Students wanted to see whether exercising (in particular doing jumping jacks) would help or hinder people’s ability to memorize a list of 10 words that were read to them. This would be compared to the same test of memorizing words while the subjects were sitting down. The number of words memorized for the 31 subjects can be found in the data file
1) What is the explanatory and what is the response variable in this study?
Explanatory: number of words memorized, response: exercise or sit down
Explanatory: exercise or sit down, response: number of words memorized
2) What are the null and alternative hypotheses?
Null: The long-run average difference in words memorized is 0. Alt: The long-run average difference in words memorized is greater than 0.
Null: The long-run average difference in words memorized is greater than 0. Alt: The long-run average difference in words memorized is 0.
Null: The long-run average difference in words memorized is 0. Alt: The long-run average difference in words memorized is not 0.
Null: The long-run average difference in words memorized is not 0. Alt: The long-run average difference in words memorized is 0.
3) Put the data into the Matched Pairs applet. What is the value of the statistic that will be used in the study and what does it represent?
0.07 is the sum of the number of words memorized between exercising and sitting down.
-0.07 is the sum of the number of words memorized between exercising and sitting down.
-0.07 is the average difference in the number of words memorized between exercising and sitting down.
0.07 is the average difference in the number of words memorized between exercising and sitting down.
4)The p-value is 0.78. Is there strong evidence that exercising while trying to memorize a list of words helps or hinders the process?
We do not have strong evidence that exercising while trying to memorize words helps or hinders the process.
We have strong evidence that exercising or sitting does not help or hinder the process.
We have strong evidence that exercising while trying to memorize words helps or hinders the process.
Explanation / Answer
Ans:
1)
Explanatory: exercise or sit down, response: number of words memorized
2)2-tailed test
Null: The long-run average difference in words memorized is 0.
Alt: The long-run average difference in words memorized is not 0.
3)
-0.07 is the average difference in the number of words memorized between exercising and sitting down.
4)
p-value=0.78
As,p-value>0.05,We fail to reject null hypothesis
We do not have strong evidence that exercising while trying to memorize words helps or hinders the process.
Exercising Not Exercising difference 1 5 4 1 2 6 2 4 3 3 5 -2 4 7 6 1 5 4 4 0 6 5 5 0 7 8 6 2 8 6 7 -1 9 4 5 -1 10 5 6 -1 11 3 5 -2 12 5 5 0 13 6 5 1 14 3 3 0 15 8 8 0 16 4 5 -1 17 5 5 0 18 8 4 4 19 7 4 3 20 5 3 2 21 6 6 0 22 4 5 -1 23 5 8 -3 24 4 7 -3 25 5 5 0 26 7 7 0 27 6 4 2 28 3 5 -2 29 4 7 -3 30 5 5 0 31 3 5 -2 Mean= -0.06452