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Record No. of error/record Record No. of error/record R-5 7 R-48 2 R-9 5 R-50 3 R-23 6 R-53 5 R-30 2 R-54 1 R-32

Record

No. of error/record

Record

No. of error/record

R-5

7

R-48

2

R-9

5

R-50

3

R-23

6

R-53

5

R-30

2

R-54

1

R-32

8

R-55

6

R-38

6

R-56

1

R-39

2

R-57

3

R-40

5

R-58

4

R-45

4

R-60

8

Note 1: R-5 means record (or row) number 5. The rest of the records have no error.

Note 2: No credit if you simply report the final answer.

  1. Calculate mean and standard deviation. Show your complete work.

Mean: 78/18 =4.333

Standard Deviation, s: 2.2491828581535

Count, N:

18

Sum, x:

78

Mean, x:

4.3333333333333

Variance, s2:

5.0588235294118

Steps

s2 =

(xi - x)2

N - 1

=

(7 - 4.3333333333333)2 + ... + (8 - 4.3333333333333)2

18 - 1

=

86

17

=

5.0588235294118

s =

5.0588235294118

=

2.2491828581535

  1. What size of sample should be taken with 95% confidence if the band (margin of error) is to be 10% of sample mean in part (a)? Show your complete work with the formula.

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