Reference no: EM132281406

Statistical Methods Lab Assignment -

Please answer the following questions by using RStudio and show all work as dictated by the assignment guidelines. Final answers should be rounded to two (2) decimal places (where applicable).

Q1. A placement test is required for students desiring to take a statistics II course at a university. The instructor of the course studies the relationship between students' placement test score and final course score. A random sample of eight students yields the following data.

Placement score	38	90	95	51	86	74	60	57
Final course score	63	41	54	32	93	60	61	89

Test the claim of association (ρ_s) between placement score and final course score.

Q2. The age groups and observed favorite type of music of 668 randomly selected Concordia students are listed in the following table.

Age	Rock	Pop	Classical
15-25	50	85	73
25-35	68	91	60
34-45	90	74	77

Test the null hypothesis that age and preferred music type are independent.

Q3. In a study of the effectiveness of physical exercise in weight reduction, 12 subjects followed a program of physical exercise for two months. Their weights (in pounds) before and after this program are shown in the table.

Before	162	190	188	152	148	127	195	164	175	156	180	136
After	157	194	179	149	135	130	183	168	168	148	170	138

Test the claim that the exercise program has no effect on weight.