Could you also explain what is meant by negative difference in means and what is the confidence interval, is it for rap mozart or no music?

In a study conducted by some Statistics students, 61 people were randomly assigned to listen to rap music, music by Rap Mozart No Music Mozart, or no music while attempting to memorize objects pictured on a page. They were then asked to list all the Count 31 17 13 objects they could remember. The summary statistics for each group are shown in the table. Complete parts a and b. Mea 9.86 9.27 14.98 SD 1 07 319 1.38 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 alternative hypotheses. Choose the correct answer below. O A. HO- HM - HR 0 Test the hypothesis t= -0.55 (Round to two decimal places as needed.) P = .709 (Round to three decimal places as needed.) State your conclusion. Use a = 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) 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. The 90% confidence interval for the negative difference in means is () (Round to three decimal places as needed.) Interpret the interval. Choose the correct answer below. O A. With 90% confidence, the mean number of objects remembered by those who listen to Mozart is lower than the mean number remembered by those who listen to no music by the absolute value of an amount in the interval. O B. With 90% confidence, the mean number of objects remembered by those who listen to no music is lower than the mean number remembered by those who listen to Mozart by the absolute value of an amount in the interval. O C. With 90% confidence, the mean number of objects remembered by all subjects is in the interval