1. Some psychologists believe that Emotional Intelligence (EI) is not related to cognitive intelligence as measured by IQ tests. To see if this is true, a researcher measures the EI and IQ in a random sample of 8 university students and obtains the following scores:

EI IQ

57 40

74 46

42 38

48 36

75 54

62 42

76 50

69 25

a) Is there a significant correlation between EI and IQ in this sample (? ? .05)? (10 points)

b) If another university student obtained an EI score of 70, what would his or her predicted IQ score be and what are the 90% bounds to the error of this prediction? (12 points)

3. Some psychologists believe that Emotional Intelligence (EI) is not related to cognitive intelligence as measured by IQ tests. To see if this is true, a researcher measures the EI and IQ in a random sample of 8 university students and obtains the following scores: EI IQ 57 40 74 46 42 38 48 36 75 54 62 42 76 50 69 25 a) Is there a significant correlation between EI and IQ in this sample (a <.05 points b if another university student obtained an ei score of what would his or her predicted iq be and are the bounds to error this prediction>