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 46 students who were asked to listen to music by Mozart and another random sample 2 of 101 students who were asked to listen to HipHop music while attempting to memorize objects pictured on a page. The 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 {El : 10.6 for sample 1 and 2 = 9.6 for sample 2. Suppose that the population standard deviations are .71 : 1.8 and 02 : 2.1 are available. Could the researcher claim at a 1% 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 ztest for two independent samples and the formula, (31 532) (#1 #2} f \"1 \"2 1'1] + 112 zst : (a) State the null and alternative hypotheses, and identify which one is the claim. Hu_-l l H1_-l l Which one is the claim? \f\f(f) Select the correct statement. 0 At a 1% level of significance, there is not sufficient evidence to warrant rejection of the claim that on average, there is no significant difference in memory scores of students who listen to music by Mozart and students who prefer HipHop music. 0 I have an evidence that the average memory score of students who listen to music by Mozart is higher than the average memory score of students who prefer Hip Hop music. 0 At a 1% level of significance, there is sufficient evidence to warrant rejection of the claim that on average, there is no significant difference in memory scores of students who listen to music by Mozart and students who prefer HipHop music. 0 | proved that the average memory score of students who listen to music by Mozart is lower than the average memory score of students who listen to HipHop music