is it a good idea to listen to music when studying for a nal exam best? Does it matter what music you listen to? A researcher conducted a study. He corked with two independent samples, a random sample 1 of 49 students who were asked to listen to music by Beethoven and another random sample 2 of 10? studenis who were asked to listen to HipHop music while attempting to merrioriae objects pictured on a page. They were then asked to list all the objects they coud remember {memory score}. Here are the summary statistics for each groLp: the sample means are 5; = 10.1r for sample 1 and 52 = 9.? for sample 2. Suppose that the population standard deviations are crl = 1.5 and a} = 1.3 are available. Could 1311B researcher claim at a 5% level of signicance that on average, there is no significant difference in memoryI score depending on the type of music students listen ho? Use the ztest for two independent sarrples and the formula. z\": (515211F1Fz) r a: 2+: la) State the null and alternative hypoliieses, and identify wl'rich one is the claim. I: 1: Ha: Hi: Which one is the dairni' OH, 03in (bi Find the critical value[s]. In the first box please indicate the sign(s}, and in die second box enter the nu'neric value. Use the following table of 2 values for most moon 0 values. cl [HIDE 0.111 0.112 0.113 0.111 0.125 {3.116 [L11 |z 2.515 2.33 2.115 1.38 1.?5 1.645 1.555 1.28 z! a 2.81 2.55 2.33 2.1?r 2.115 1.96 1.38 1.645 I: Use the correct sig'i for the test statistic and round your answer to 3 decimal places. ME Ed] D05 the test statistic fall into rejection region? le] What isthe short version of your conclusion [in tenTis of Ho andl]? Critical sewers] = {c} What is the test statistic? O Smport Ho and support H. [claim] 0 Fail to support Hg and reject H1 (claim) 0 Reject Ho and fail to import 31 (claim) 0 Reject Ho (claim) and stuport H1 0 Fail to reject Eu [claim] and fail to import E; If] Select the correct statement. 01 havean evidence that li'ieaverage memory score ofstudenis who listen torriusicbyI Beethoven is higher 111an die average merriclry score of studenis who prefer Hip-Hop music. OI proved that the average memory score of students who listen to music by Beethoven is lower than the average memory score of students who listen to Hip-Hop music. 0 At a 5% level of signicance, there is not sufcient evidence to warrant rejection of the claim rat on average, there is no significant difference in memory soores of students who listen to music by Beethoven and students who prefer Hip-Hop rni.|sic. 0 At a 5% level of signicance, there is sufcient evidence to warrant rejection of die claim that on average, there is no signicant difference in memory scora of students who listen to music by Beethoven and students who prefer Hip-Hop music