Identify the strength of correlation of the two variables in each statement, then, at a 5% level of significance, perform a hypothesis test using Pearson's r or Spearman's rank correlation coefcient. |. A group of twelve {12) children participated in a psychological study designed to assess the relationship, if any, between age {years} and average total sleep time (minutes). To obtain a measure for average total sleep time, recordings were taken on each child on five consecutive nights and then averaged. The results obtained are shown in the table. ATST [Minutes] 586 565 515 532 473 560 493 533 575 490 530 515 Test whether the linear relationship in this sample data effectively models the relationship in the population. ||. A researcher wants to know if there is a significant relationship between adolescents' IQ and the number of hours they listen to rock music per month. The collected data are shown below: Number of hours IQ Adolescent . . listening to rock (X) (Y) 1 3 100 2 O 120 3 5 91 4 23 119I 5 46 103 6 20 111 7 16 86 8 15 124 9 21 104 10 26 99 Test the signicant relationship between the two [2} variables using Spearman's rank correlation