85 music and memory is it a good idea to listen to music...

85. Music and memory Is it a good idea to listen to music when studying for a big test? In a study conducted by some Statistics students, 62 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. Here are summary statistics for each group: Rap Mozart No Music Count 29 20 13 Mean 10.72 10.00 12.77 SD 3.99 3.19 4.73 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. b) Create a 90% confidence interval for the mean difference in memory score between students who study to Mozart and those who listen to no music at all. Interpret your interval.

Transcript

00:01 Hello students, music and memory, it is a good idea to listen to the music when studying for a big test.

00:08 In a study conducted by some statistics students, 62 people are there under the study, then given n equal to 62.

00:16 Randomly assign the listen to the rap music, music by the mozart or a no music.

00:21 While attempting the memorize the object which are on a page, there were then asked to list all the objects they could remember.

00:28 Here are the summary statistics for each group.

00:30 And the summary statistics of the each group is first is the rap group, second is the mozart group, then and the next one is a no music and the count for this is 29, then 20 and for no music is 13.

00:57 And the mean for the each part is given which is a 10 .72, 10 .00 and 12 .77.

01:07 Then standard deviation also given which is 3 .99, 3 .19 and 4 .73.

01:16 Now, there we have to find that does it appear that it is a better to study while listening to the mozart than to the rap music.

01:25 Then we have to test this two that this is the first which is a x1, this is a x2 and this is x3.

01:33 Then for the first part to test h0 that is the null hypothesis is mu1 is greater than or equal to mu2 versus alternative hypothesis mu1 is less than mu2.

01:52 And the test statistics for this test is given by e is equal to x1 bar minus x2 bar divided by under root of s1 square upon n1 plus s2 square upon these are all ni's observations these are all x bar i and these all are si's.

02:17 Now, put the corresponding values here x1 bar is equal to 10 .72 minus x2 bar equal to 10 under root of s1 square the value of s1 is 3 .99 square and the value of n1 is 29 plus value of s2 is 3 .19 square and the value of n2 is equal to 20.

02:41 Now, simplify this whole term after simplifying we get the value of t is equal to 0 .7001...

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