In a study conducted by some Statistics students, 69 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. Does it matter whether one listens to rap music while studying, or is it better to study without music at all? Complete parts a and b. Rap Count 31 Mozart No Music 18 20 Mean 12.73 3.91 8.77 12.45 SD 3.66 4.25 a) Test an appropriate hypothesis and state your conclusion. Let group R comrespond to rap listeners and group correspond to those who listened to no music. Write the null and alternative hypotheses. H PRPN H PR HN (Type integers or decimals. Do not round.) Test the hypothesis. (Round to two decimal places as needed.)

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In a study conducted by some Statistics students, 69 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. Does it matter whether one listens to rap music while studying, or is it
better to study without music at all? Complete parts a and b.
No Music
Rap
31
Mozart
Count
20
18
12.45
Mean
SD
12.73
8.77
3.91
3.66
4.25
a) Test an appropriate hypothesis and state your conclusion.
Let group R correspond to rap listeners and group N correspond to those who listened to no music. Write the null and alternative hypotheses.
H HR - PN =0
HA HR - HN < 00
(Type integers or decimals. Do not round.)
Test the hypothesis.
t=(Round to two decimal places as needed.)
Transcribed Image Text:In a study conducted by some Statistics students, 69 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. Does it matter whether one listens to rap music while studying, or is it better to study without music at all? Complete parts a and b. No Music Rap 31 Mozart Count 20 18 12.45 Mean SD 12.73 8.77 3.91 3.66 4.25 a) Test an appropriate hypothesis and state your conclusion. Let group R correspond to rap listeners and group N correspond to those who listened to no music. Write the null and alternative hypotheses. H HR - PN =0 HA HR - HN < 00 (Type integers or decimals. Do not round.) Test the hypothesis. t=(Round to two decimal places as needed.)
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