In a study conducted by some Statistics students, 73 people were randomly assigned to listen to rap music, music by Mozart, or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The summary statistics for each group are shown in the table. Complete parts a and b. HA: HM-HRU C. Ho: HM-HR <0 HA: HM-HR=0 ... Count Mean SD HA: HM HRU D. Ho: HM-HR = 0 HA: HM-HR <0 Rap Mozart 33 • 20 10.88 10.15. 3.71 3.04 The 90% confidence interval for the negative difference in means is (.). (Round to three decimal places as needed.) No Music 20 13.29 4.88 Test the hypothesis. t = -0.78 (Round to two decimal places as needed.) P=0.7799 (Round to four decimal places as needed.) State your conclusion. Use α = 0.05. Do not reject Ho. There is no evidence that the mean number of objects remembered by those who listen to Mozart is higher than the mean number of objects remembered by those who listen to rap music. b) Now compare the group that listened to Mozart with the group that listened to no music. Create a 90% confidence interval for the mean difference in memory score between students who listen to Mozart and those who listen to no music at all. Interpret your interval.

MATLAB: An Introduction with Applications
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In a study conducted by some Statistics students, 73 people were
randomly assigned to listen to rap music, music by Mozart, or no
music while attempting to memorize objects pictured on a page.
They were then asked to list all the objects they could remember.
The summary statistics for each group are shown in the table.
Complete parts a and b.
HA: HM-HRU
C. Ho: HM-HR <0
HA: HM-HR=0
...
Count
Mean
SD
HA: HM-HRU
D. Ho: HM-HR = 0
HA: HM-HR <0
Rap
Mozart
The 90% confidence interval for the negative difference in means is (.).
(Round to three decimal places as needed.)
33
• 20
10.88 10.15.
3.71
3.04
No Music
20
13.29
4.88
Test the hypothesis.
t = -0.78 (Round to two decimal places as needed.)
P = 0.7799 (Round to four decimal places as needed.)
State your conclusion. Use α = 0.05.
Do not reject Ho. There is no evidence that the mean number of objects remembered by those who listen to Mozart
is higher than the mean number of objects remembered by those who listen to rap music.
b) Now compare the group that listened to Mozart with the group that listened to no music. Create a 90% confidence
interval for the mean difference in memory score between students who listen to Mozart and those who listen to no
music at all. Interpret your interval.
Transcribed Image Text:In a study conducted by some Statistics students, 73 people were randomly assigned to listen to rap music, music by Mozart, or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The summary statistics for each group are shown in the table. Complete parts a and b. HA: HM-HRU C. Ho: HM-HR <0 HA: HM-HR=0 ... Count Mean SD HA: HM-HRU D. Ho: HM-HR = 0 HA: HM-HR <0 Rap Mozart The 90% confidence interval for the negative difference in means is (.). (Round to three decimal places as needed.) 33 • 20 10.88 10.15. 3.71 3.04 No Music 20 13.29 4.88 Test the hypothesis. t = -0.78 (Round to two decimal places as needed.) P = 0.7799 (Round to four decimal places as needed.) State your conclusion. Use α = 0.05. Do not reject Ho. There is no evidence that the mean number of objects remembered by those who listen to Mozart is higher than the mean number of objects remembered by those who listen to rap music. b) Now compare the group that listened to Mozart with the group that listened to no music. Create a 90% confidence interval for the mean difference in memory score between students who listen to Mozart and those who listen to no music at all. Interpret your interval.
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