An entrepreneur claims that he has developed a program that can increase the IQ of adolescent students. To test this claim a psychologist administers the WISC (an IQ score for children) to a group of students before and after completing the training program. Analyze the data to test the entrepreneur’s claim.


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    Student IQ before IQ after
    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    103

    85

    94

    106

    74

    98

    83

    93

    103

    96

    109

    115

    86

    122

    112

    126

    118

    72

    99

    89

    90

    108

    74

    99

    80

    99

    107

    93

    111

    117

    83

    122

    120

    131

    116

    74



     

     

    2.      The staff at a local psychiatric facility wants to determine whether implementing a no-smoking rule significantly decreases the length of stay of inpatients. In order to test this claim, they compared the length of stay of patients admitted before a No Smoking rule was implemented to another group of patients admitted after the No Smoking rule.  Evaluate the claim that the average length of stay was significantly shorter for the group admitted after the facility implemented the rule. (16 pts)

    Smoking Allowed No Smoking
    8

    5

    2

    5

    8

    6

    4

    14

    7

    15

    12

    8

    4

    13

    10

    8

    5

    10

    7

    8

    2

    3

    2

    4

    4

    8

    4

    5

    2

    4

    6

    7

     

    3.      Depressed patients are randomly assigned to one of 3 therapists.  At the end of 3 months, each patient completes a standardized test of depression (higher scores indicate higher level of depression).  The patients’ scores are shown below.  Analyze the data to determine how effective these 3 therapists are at treating depression (assume that before the treatment, all 3 groups of patients had the same average depression score).  (16 pts)

     

    Therapist 1 Therapist 2 Therapist 3

    35

    37

    35

    37

    36

    33

    39

    36

    37

    37

    31

    39

    35

    32

    29

    32

    25

    28

    33

    30

    32

     

     

     

    4.      In light of all the weight loss misinformation and fad diets, a medical researcher determines to evaluate several of them.  She randomly assigns volunteers (identified as clinically obese) to one of 4 diets. She is a firm believer in the benefits of exercise so she also assigns them to either the exercise or no exercise group.  After 3 months, she compares the pounds lost for each condition.  Was there a significant effect of the diets and exercise on weight loss?  (16 pts)

     

     

     

     

    Exercise

    Low Carb South Beach Adkins Weight

    Watchers

    26

    28

    30

    25

    20

    28

    22

    18

    25

    21

    24

    29

    28

    28

    30

    25

    26

     

     

    No

    Exercise

    15

    20

    18

    18

    12

    15

    15

    17

    19

    28

    25

    21

    34

    25

    30

    28

     



     

    5.      Infants exposed to cocaine in their mother’s womb are thought to be at high risk for major birth defects.  Thirteen infants born to mothers who are addicted to cocaine are administered the Brazelton Neonatal Assessment one day after birth.  For these babies, their scores were as follows

     

    Brazelton Scores

    6.25

    4.50

    8.50

    5.50

    3.00

    7.90

    7.50

    5.30

    6.80

    7.50

    5.25

    7.45

    6.80

     

     

    For the general population, babies normally score an 8.5.  Is this group of babies significantly lower than normal?

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