Give an 80 confidence interval for the total number of

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Reference no: EM13606700

Signatures to a petition were collected on 676 sheets. Each sheet has enough space for 42 signatures, but on many sheets a smaller number of signatures was collected. The number of signatures per sheet were counted on a random sample of 50 sheets. The results are given below:

  

Number of signatures

  
  

42

  
  

41

  
  

36

  
  

32

  
  

29

  
  

27

  
  

23

  
  

19

  
  

16

  
  

15

  
  

Frequency

  
  

23

  
  

4

  
  

1

  
  

1

  
  

1

  
  

2

  
  

1

  
  

1

  
  

2

  
  

1

  
                                                      
  

Number of signatures

  
  

14

  
  

11

  
  

10

  
  

9

  
  

7

  
  

6

  
  

5

  
  

4

  
  

3

  
  

Total

  
  

Frequency

  
  

1

  
  

1

  
  

1

  
  

1

  
  

1

  
  

3

  
  

2

  
  

1

  
  

1

  
  

50

  

a) Give an 80% confidence interval for the total number of signatures.

b) How (if at all) does the non-normality of the Number of signatures (with a greatest frequency at the upper end - 42) affect your answer?

c). After the sample in the Table of question 1 was taken, the total number of completely filled sheets (with 42 signatures each) was counted and found to be 326 (out of the total of 676). Use this infornmation to improve your estimate of the total number of signatures and find a standard error to that estimate.

Reference no: EM13606700

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