In: Statistics and Probability
1. A study investigated the influence of background noise on classroom performance for children aged 10 to 12. In one part of the study, calming music led to better performance on an arithmetic task compared to a no-music condition. Suppose that a researcher selects one class of n1= 20 students who listen to calming music each day while working on arithmetic problems. A second class of n2= 18 serves as a control group with no music. Accuracy scores are measured for each child and the average for students in the music condition is x1=12 with sum of squares (SS1)=1,205 compared to an average of X2=9 with SS2=1,144 for students in the no-music condition. Please, report the observed value of the test statistic (e.g., observed z, observed t, or observed X2) you will use for hypothesis testing. Round answers to two decimal points in every calculation.
2. Enter the (1) critical value of the statistic (z, t, or X2) you need for alpha = .05 and (2) degrees of freedom for a two-tailed test.
3. Specify if you decision is based on whether to reject or fail to reject the H0
4. State your conclusions based on your results from this study using an APA style sentence with the correct format for presenting the results of an inferential test.
Needs to be done ASAP thanks