Is it a good idea to listen to music when studying for a final exam test? Does it matter what music you listen to? A researcher conducted a study. He worked with two independent samples, a random sample 1 of 45 students who were asked to listen to music by Beethoven and another random sample 2 of 77 students who were asked to listen to Jazz while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember (memory score). Here are the summary statistics for each group: the sample means are x1=10.0 for sample 1 and x2=9.5 for sample 2. Suppose that the population standard deviations are ?1=1.8 and ?2=2.1 are available. Could the researcher claim at a 0.5% level of significance that on average, there is no significant difference in memory score depending on the type of music students listen to? Use the z-test for two independent samples and the formula, zst=(x1?x2)?(?1??2)??21n1+?22n2 (a) State the null and alternative hypotheses, and identify which one is the claim.H0:H1:Which one is the claim? H0H1Critical Value(s) = (c) What is the test statistic?Use the correct sign for the test statistic and round your answer to 3 decimal places.zst= (d) Does the test statistic fall into rejection region?(e) What is the short version of your conclusion (in terms of H0 and H1)? Support H0and support H1(claim)Fail to support H0and reject H1(claim)Fail to reject H0(claim) and fail to support H1Reject H0and fail to support H1(claim)Reject H0(claim) and support H1

OHo OH, ) Find the critical value (s). In the first box please indicate the sign(s), and in the cond box enter the numeric value. se the following table of z values for most common a values. 0.005 0.01 0.02 0.03 0.04 0.05 0.06 0.1 2.575 2.33 2.05 1.88 1.75 1.645 1.555 1.28 Za 2.81 2.575 2.33 2.17 2.05 1.96 1.88 1.645 Critical Value (S) = ? ~ (c) What is the test statistic? Use the correct sign for the test statistic and round your answer to 3 decimal places