### The Impact of Music on IntelligenceListening to music has long been thought to enhance intelligence, especially during infancy and childhood. To further investigate this claim, a researcher conducted a study to track the number of hours eight high-performing students listened to music per day for one week. The collected data is as follows:#### Music Listening Per Day (in hours):- 3.4- 3.9- 5.5- 1.6- 5.3- 3.3- 1.9- 2.6### Research Objectives:**i. Confidence Limits Calculation:**Using SPSS, calculate the confidence limits at a 95% confidence interval (CI) for this sample data.**ii. Hypothesis Testing:**The null hypothesis states that students listen to an average of 4.5 hours of music per day. Determine the decision for a two-tailed hypothesis test at a 0.05 level of significance.The analysis will provide insights into whether the observed sample data supports or refutes the hypothesis that music listening enhances intelligence by comparing the average listening duration to the proposed standard.

A random sample of 8 observations is given.We have to test whether students listen to 4.5 hours of musicct per day or not.This is One mean t-test.SPSS Procedure:Step 1: In Variable View Sheet, enter Music Listening per Day in one row.Step 2: Copy the data in Data View Sheet.Step 3: Analyze > Compare Means > One Sample T Test.Step 4: In Test Variables, Select Music Listening per Day. Enter Test Value as 4.5.Step 5: In Options, Enter 95%. Click Ok.SPSS output:The 95% confidence interval is (2.262, 0.137).Null Hypothesis:The students listen to 4.5 hours of music per day.Alternative Hypothesis:The students listen to other than 4.5 hours of music per day.Rejection Rule:If p-value (=0.05), then reject the null hypothesis.The value of the test statistic is t =2.095.p-value = 0.074conclusion:Since p-value (=0.074),>(=0.05), then reject the null hypothesis.There is insufficient evidence to reject the null hypothesis that students listen to 4.5 hours of music per day.(i). The 95% confidence interval is (2.262, 0.137).(ii). Do not reject the null hypothesis. There is insufficient evidence to reject the null hypothesis that students listen to 4.5 hours of music per day.