In a study conducted by some Statistics students, 66 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. A. Ho: HM-HR = 0 HA: HM-HR0 C. Ho: HM-HR = 0 HA: HM-HR>0 Test the hypothesis. t=-0.87 (Round to two decimal places as needed.) P= 0.8046 (Round to four decimal places as needed.) State your conclusion. Use α = 0.05. a) Does it appear that it is better to study while listening to Mozart than to rap music? Test an appropriate hypothesis and state your conclusion. Let group M correspond to Mozart listeners and group R correspond to rap listeners. Write the null and alterative hypotheses. Choose the correct answer below. B. Ho HM-HR <0 HA: HM-HR=0 Count Mean SD OD. Ho HM PR=0 HA HM HR <0 The 90% confidence interval for the negative difference in means is (.1). (Round to three decimal places as needed.) Rap 26 9.35 4.17 Mozart 21 8.44 3.02 No Music 19 14.06 4.24 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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In a study conducted by some Statistics students, 66 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.
A.
Ho: HM-HR = 0
HA: HM-HR0
C. Ho: HM-HR=0
HA: HM-HR>0
Test the hypothesis.
t=-0.87 (Round to two decimal places as needed.)
P= 0.8046 (Round to four decimal places as needed.)
State your conclusion. Use α = 0.05.
B.
a) Does it appear that it is better to study while listening to Mozart than to rap music? Test an appropriate hypothesis and state your conclusion.
Let group M correspond to Mozart listeners and group R correspond to rap listeners. Write the null and alterative hypotheses. Choose the correct answer below.
Ho: HM-HR <0
HA: HM-HR=0
The 90% confidence interval for the negative difference in means is (.1).
(Round to three decimal places as needed.)
Count
Mean
SD
D. Ho HM PR=0
HA HM HR0
Rap
26
9.35
4.17
Mozart
21
8.44
3.02
No Music
19
14.06
4.24
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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Transcribed Image Text:In a study conducted by some Statistics students, 66 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. A. Ho: HM-HR = 0 HA: HM-HR0 C. Ho: HM-HR=0 HA: HM-HR>0 Test the hypothesis. t=-0.87 (Round to two decimal places as needed.) P= 0.8046 (Round to four decimal places as needed.) State your conclusion. Use α = 0.05. B. a) Does it appear that it is better to study while listening to Mozart than to rap music? Test an appropriate hypothesis and state your conclusion. Let group M correspond to Mozart listeners and group R correspond to rap listeners. Write the null and alterative hypotheses. Choose the correct answer below. Ho: HM-HR <0 HA: HM-HR=0 The 90% confidence interval for the negative difference in means is (.1). (Round to three decimal places as needed.) Count Mean SD D. Ho HM PR=0 HA HM HR0 Rap 26 9.35 4.17 Mozart 21 8.44 3.02 No Music 19 14.06 4.24 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. Question Viewer
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