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brochure inviting subscriptions for a new diet program states that the participants lose over 27 pounds in five weeks with a standard deviation of 3.4.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Assignment I (30 Marks)

A brochure inviting subscriptions for a new diet program states that the participants lose over 27 pounds in five weeks with a standard deviation of 3.4. Data was collected from 65 participants who attended this diet program, the sample mean for weight loss was 25.5 pounds. Could the statement in the brochure be substantiated on the basis of these findings? Test at the α = .01 level. Give detailed explanation with the solution.  

Assignment II (30 Marks)

From the following data find out whether there is any significant relationship between gender and preference of colour. Use Chi-square test and give detailed explanation with a solution 

Preference for Colour\Gender

Male

Female

Pink

56

42

Black

67

39

Yellow

34

25

  Assignment III (30 Marks)

The following data has mid term marks and end term marks of 9 students. Maximum marks for both mid term marks as well as end term marks is 100. Calculate regression line between mid term marks and end term marks using below dataset. Give detailed explanation with the solution. 

Student Roll No.

1

2

3

4

5

6

7

8

9

Mid Term Marks

67

59

73

63

89

78

64

28

89

End Term Marks

55

42

80

83

76

67

63

33

58

 

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