Question

EXAMPLE 14: A developmental psychologist examined whether there is a relationship between number of friends (X) and happiness (Y) in female teenagers. The psychologist randomly selected 16 female teenagers. The psychologist had each teenager take a happiness survey. An individual's score on the survey could range from 1 to 100 with a higher score indicating greater happiness. The psychologist also measured the number of friends each teenager had. The results appear in the table below. Using a= .05, what did the psychologist conclude? ect Y XIN 3 64 WUNWUNWNW 1 70 361 3 56 4 71 5 57 -- - -- -- -- - -- -

Answer 1

solution Here from the given data n=16, EX=50 Ey=1025, Ezly =3286, Ex2=178, EI=67529 correlation (r) = NEXY-EX (EY) neredeney² - (£42 = 3260 -4115 (18.655) (172.74) d-fan-2= 16-2=14, X=0.05, critical value = 0.497 here cal r=0.4115 20.497 - can't conclude that there is a significant relationship between the no of friends and happiness in female teenagers. The