Data Description and Background The data you will be analyzing are on educational test scores for a sample of Irish schoolchildren aged 11 in 1967. Focus on the variable DVRT only. Make sure that when doing the analysis part, the work is showing the analyzing of this variable and not another mistakenly.

Using the data provided, answer the following questions and provide the requested analysis.

1) What is the sample size?

2) Calculate the sample average of the DVRT scores.

3) Calculate the sample standard deviation of the DVRT scores.

4) MAke dot-plot of the DVRT scores.

5) Based on the dot-plot you constructed in part 3, is it plausible to assume the distribution of DVRT score follows a Normal distribution?

6) Construct a 95% Confidence Interval for the mean DVRT scores in the population.

Irish Educational Transitions Data

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Below are shown data on educational transitions for a sample of 500

Irish schoolchildren aged 11 in 1967.

The variables shown are as follows:

1. Sex: 1=male; 2=female.

2. DVRT.

3. Educational level attained:

1 Primary terminal leaver

2 Junior cycle incomplete: vocational school

3 Junior cycle incomplete: secondary school

4 Junior cycle terminal leaver: vocational school

5 Junior cycle terminal leaver: secondary school

6 Senior cycle incomplete: vocational school

7 Senior cycle incomplete: secondary school

8 Senior cycle terminal leaver: vocational school

9 Senior cycle terminal leaver: secondary school

10 3rd level incomplete

11 3rd level complete

4. Leaving Certificate. 1 if Leaving Certificate not taken; 2 if taken.

5. Prestige score for father's occupation. 0 if missing.

6. Type of school: 1=secondary; 2=vocational; 9=primary terminal leaver.

REFERENCES

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OWNERSHIP STATEMENT

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In the form given here, it may be used solely as an example for research

on the development of statistical methods. For any other use of the data,

permission must be obtained from the owners. Subject to this statement,

permission is hereby given to StatLib to distribute this data freely.

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DATA

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1 65 1 1 18 9

1 71 6 1 40 2

1 72 2 1 43 2

2 72 9 2 18 1

1 72 4 1 37 2

2 72 1 1 0 9

1 73 9 2 37 1

2 73 9 2 35 1

2 73 5 1 37 1

1 74 4 1 37 2

2 75 2 1 33 2

2 75 2 1 28 2

1 76 2 1 0 2

2 77 1 1 0 9

2 78 9 2 18 1

2 78 9 2 46 1

1 78 4 1 31 2

1 78 8 2 58 2

1 79 4 1 46 2

1 79 7 1 61 1

1 80 4 1 65 2

1 80 1 1 58 9

1 81 9 2 58 1

1 81 1 1 18 9

1 81 1 1 18 9

2 81 9 2 37 1

2 81 9 2 37 1

2 81 2 1 18 2

2 81 5 1 37 1

1 82 4 1 18 2

1 82 1 1 31 9

2 82 5 1 57 1

2 82 5 1 35 1

1 83 4 1 43 2

2 83 1 1 28 9

1 83 4 1 18 2

2 83 5 1 37 1

1 84 1 1 0 9

1 84 4 1 18 2

1 84 0 1 33 1

1 84 4 1 18 2

1 84 2 1 61 2

1 84 2 1 40 2

2 84 5 1 18 1

2 84 9 2 18 1

2 84 5 1 37 1

2 84 4 1 18 2

1 85 4 1 28 2

1 85 2 1 31 2

2 85 1 1 18 9

1 85 9 2 37 1

2 85 9 2 43 1

2 85 9 2 37 1

2 85 9 2 57 1

2 85 7 1 35 1

2 85 5 1 31 1

2 85 9 2 28 1

1 86 1 1 18 9

1 86 4 1 31 2

2 86 5 1 28 1

2 86 4 1 40 2

1 86 2 1 18 2

1 86 2 1 61 2

2 86 1 1 0 9

2 86 2 1 18 2

1 86 1 1 18 9

2 86 4 1 37 2

2 86 9 2 37 1

1 87 1 1 43 9

2 87 8 2 18 2

1 87 9 2 40 1

1 87 9 2 18 1

2 87 9 2 37 1

1 88 4 1 28 2

1 88 11 2 0 1

2 88 3 1 57 1

2 88 9 2 37 1

1 88 2 1 58 2

1 88 2 1 43 2

1 88 4 1 37 2

2 88 5 1 37 1

1 89 2 1 43 2

2 89 5 1 18 1

1 89 6 1 28 2

2 89 1 1 18 9

2 89 7 1 37 1

2 89 2 1 18 2

1 90 1 1 18 9

1 90 4 1 28 2

1 90 3 1 27 1

1 90 3 1 46 1

2 90 5 1 33 1

1 90 6 1 43 2

1 90 2 1 28 2

2 90 8 2 42 2

2 90 5 1 69 1

1 90 9 2 58 1

1 90 5 1 37 1

1 90 2 1 58 2

2 90 9 2 58 1

2 90 9 2 57 1

2 90 4 1 37 2

2 90 9 2 37 1

2 90 3 1 37 1

2 90 2 1 18 2

1 91 5 1 40 1

1 91 2 1 28 2

2 91 5 1 30 1

2 91 4 1 28 2

2 91 5 1 28 1

2 91 5 1 18 1

2 91 2 1 18 2

1 91 9 2 37 1

1 91 5 1 37 1

2 91 9 2 37 1

2 91 11 2 58 1

2 91 1 1 18 9

2 91 2 1 37 2

1 92 4 1 33 2

2 92 4 1 37 2

2 92 2 1 18 2

1 92 3 1 58 1

1 92 5 1 37 1

2 92 2 1 28 2

2 92 3 1 18 1

1 92 6 1 38 2

2 92 9 2 75 1

2 93 5 1 43 1

2 93 9 2 35 1

2 93 9 2 37 1

1 93 4 1 18 2

1 93 2 1 37 2

1 93 2 1 18 2

2 93 4 1 18 2

2 93 9 2 43 1

2 93 9 2 38 1

2 93 9 2 57 1

1 93 9 2 51 1

2 93 4 1 37 2

2 93 9 2 69 1

1 94 9 2 0 1

1 94 9 2 43 1

1 94 2 1 43 2

2 94 3 1 51 1

2 94 9 2 35 1

2 94 4 1 43 2

2 94 5 1 37 1

2 94 2 1 37 2

2 94 1 1 58 9

2 94 9 2 18 1

2 94 3 1 28 1

2 94 1 1 38 9

2 94 4 1 37 2

1 95 3 1 43 1

1 95 9 2 43 1

1 95 9 2 43 1

1 95 9 2 37 1

1 95 9 2 37 1

2 95 11 2 37 1

1 96 3 1 18 1

1 96 4 1 18 2

1 96 5 1 37 1

1 96 5 1 28 1

2 96 5 1 28 1

2 96 9 2 38 1

2 96 2 1 43 2

1 97 5 1 35 1

2 97 3 1 46 1

2 97 5 1 18 1

2 97 2 1 36 2

1 97 11 2 40 1

2 97 2 1 18 2

1 97 2 1 18 2

2 97 9 2 58 1

2 97 9 2 37 1

2 97 4 1 37 2

1 98 2 1 43 2

2 98 2 1 37 2

2 98 5 1 33 1

1 98 1 1 28 9

1 98 2 1 28 2

1 98 4 1 58 2

2 98 5 1 37 1

1 99 3 1 0 1

1 99 4 1 18 2

2 99 5 1 61 1

2 99 5 1 57 1

2 99 5 1 38 1

1 99 9 2 18 1

1 99 8 2 37 2

2 99 11 2 37 1

2 99 11 2 69 1

1 99 3 1 43 1

1 99 4 1 18 2

1 99 11 2 37 1

1 99 4 1 35 2

2 99 5 1 37 1

2 99 4 1 37 2

1 100 4 1 35 2

1 100 2 1 43 2

1 100 4 1 43 2

2 100 11 2 47 1

2 100 5 1 62 1

2 100 3 1 18 1

2 100 1 1 28 9

2 100 4 1 18 2

2 100 2 1 18 2

1 100 6 1 37 2

2 100 9 2 57 1

2 100 4 1 27 2

2 100 9 2 18 1

2 100 9 2 57 1

2 100 9 2 37 1

2 100 3 1 37 1

2 100 9 2 31 1

1 101 1 1 28 9

1 101 2 1 28 2

2 101 5 1 38 1

1 101 5 1 35 1

1 101 3 1 28 1

2 101 11 2 43 1

2 101 9 2 66 1

1 101 11 2 57 1

1 101 9 2 61 1

1 101 9 2 35 1

2 101 9 2 0 1

2 101 5 1 18 1

1 102 4 1 43 2

2 102 5 1 18 1

2 102 4 1 42 2

2 102 1 1 38 9

1 102 4 1 37 2

1 102 2 1 18 2

1 102 3 1 18 1

2 102 9 2 40 1

2 102 9 2 40 1

2 102 9 2 43 1

2 102 3 1 37 1

2 102 4 1 18 2

2 102 9 2 37 1

1 103 5 1 0 1

1 103 4 1 33 2

2 103 5 1 43 1

2 103 9 2 30 1

2 103 5 1 43 1

2 103 1 1 28 9

2 103 5 1 38 1

1 103 1 1 43 9

1 103 9 2 43 1

1 103 8 2 28 2

2 103 9 2 38 1

1 103 2 1 31 2

1 103 9 2 37 1

1 103 9 2 35 1

1 103 9 2 43 1

2 103 11 2 28 1

2 103 11 2 37 1

1 104 5 1 36 1

1 104 5 1 43 1

2 104 9 2 38 1

2 104 5 1 64 1

2 104 9 2 0 1

1 104 11 2 75 1

1 104 10 2 69 1

2 104 9 2 18 1

1 104 9 2 61 1

1 104 6 1 40 2

1 104 9 2 37 1

2 104 6 1 37 2

2 104 5 1 18 1

2 104 3 1 37 1

2 104 9 2 18 1

2 104 3 1 18 1

2 104 9 2 18 1

2 104 5 1 43 1

2 104 5 1 18 1

2 105 4 1 46 2

1 105 7 1 57 1

2 105 8 2 18 2

2 105 3 1 57 1

2 105 9 2 18 1

1 105 2 1 31 2

2 105 9 2 18 1

2 105 5 1 28 1

1 106 11 2 42 1

2 106 2 1 0 2

2 106 4 1 28 2

2 106 4 1 0 2

2 106 11 2 61 1

1 106 9 2 57 1

1 106 9 2 28 1

1 106 4 1 37 2

2 106 9 2 51 1

2 106 4 1 18 2

1 106 9 2 75 1

1 107 9 2 28 1

1 107 0 1 43 1

2 107 9 2 40 1

2 107 3 1 18 1

1 107 9 2 40 1

1 107 9 2 40 1

1 107 9 2 75 1

1 107 9 2 37 1

1 107 3 1 58 1

2 107 11 2 37 1

2 107 3 1 57 1

2 107 11 2 61 1

1 108 4 1 69 2

2 108 9 2 27 1

2 108 4 1 28 2

1 108 11 2 37 1

1 108 9 2 58 1

1 108 4 1 0 2

1 108 4 1 35 2

1 108 4 1 38 2

2 108 9 2 58 1

2 108 11 2 37 1

1 108 9 2 71 1

1 109 9 2 40 1

2 109 4 1 43 2

2 109 5 1 69 1

2 109 7 1 40 1

2 109 9 2 43 1

2 109 5 1 28 1

1 109 11 2 57 1

2 109 9 2 43 1

2 109 9 2 58 1

1 109 9 2 57 1

1 109 0 1 43 1

1 109 5 1 37 1

1 109 9 2 0 1

2 109 10 2 43 1

1 109 2 1 18 2

2 109 9 2 71 1

2 109 11 2 40 1

1 110 9 2 69 1

1 110 6 1 27 2

2 110 9 2 40 1

2 110 9 2 37 1

1 110 6 1 37 2

1 110 4 1 37 2

2 110 5 1 28 1

2 110 9 2 61 1

1 110 9 2 53 1

2 111 5 1 51 1

2 111 5 1 0 1

2 111 5 1 18 1

1 111 9 2 69 1

2 111 9 2 58 1

2 111 9 2 57 1

2 111 9 2 18 1

2 111 9 2 58 1

2 111 7 1 37 1

1 112 9 2 43 1

1 112 9 2 40 1

1 112 3 1 18 1

1 112 9 2 75 1

2 112 2 1 37 2

2 112 11 2 62 1

2 112 9 2 18 1

1 113 3 1 28 1

1 113 9 2 43 1

2 113 5 1 18 1

1 113 4 1 0 2

1 113 11 2 61 1

1 113 11 2 37 1

1 113 4 1 28 2

1 113 11 2 65 1

2 113 9 2 37 1

1 114 11 2 18 1

1 114 9 2 0 1

2 114 11 2 43 1

2 114 9 2 48 1

2 114 4 1 28 2

1 114 9 2 37 1

1 114 9 2 61 1

1 114 9 2 37 1

2 114 10 2 57 1

2 114 11 2 0 1

2 114 9 2 28 1

1 114 5 1 66 1

1 114 9 2 71 1

2 114 9 2 40 1

1 114 11 2 75 1

2 114 9 2 75 1

1 115 0 1 66 1

2 115 9 2 57 1

2 115 3 1 36 1

1 115 9 2 27 1

1 115 5 1 37 1

2 115 9 2 43 1

2 115 9 2 35 1

2 116 5 1 47 1

1 116 0 1 18 1

1 116 9 2 75 1

1 116 11 2 18 1

2 116 9 2 0 1

2 116 9 2 18 1

1 117 9 2 42 1

1 117 7 1 18 1

1 117 9 2 0 1

2 117 9 2 43 1

1 117 6 1 28 2

2 117 11 2 51 1

2 117 11 2 37 1

2 117 11 2 57 1

1 118 9 2 71 1

2 118 11 2 65 1

1 118 8 2 18 2

1 118 4 1 18 2

2 118 9 2 37 1

2 119 9 2 57 1

1 119 10 2 69 1

1 119 11 2 71 1

2 119 11 2 37 1

1 120 11 2 43 1

1 120 0 1 75 1

2 120 11 2 40 1

2 120 9 2 61 1

2 120 11 2 37 1

1 121 5 1 57 1

1 121 9 2 40 1

1 121 9 2 37 1

1 121 10 2 37 1

2 122 11 2 38 1

1 122 9 2 62 1

1 122 9 2 40 1

1 122 11 2 35 1

2 122 4 1 18 2

1 123 9 2 46 1

1 123 3 1 43 1

1 123 9 2 35 1

2 123 7 1 35 1

2 123 5 1 28 1

1 123 6 1 36 2

1 123 9 2 65 1

2 123 9 2 37 1

2 123 9 2 37 1

1 124 9 2 62 1

1 124 9 2 65 1

1 124 9 2 36 1

1 125 11 2 28 1

1 125 11 2 71 1

1 125 11 2 31 1

1 125 4 1 71 2

1 125 9 2 18 1

1 126 11 2 27 1

1 126 2 1 61 2

1 126 4 1 51 2

1 127 9 2 43 1

1 127 11 2 40 1

1 127 11 2 40 1

1 127 11 2 37 1

2 127 2 1 35 2

2 127 9 2 62 1

2 127 9 2 58 1

1 129 11 2 43 1

1 129 5 1 18 1

1 129 10 2 0 1

1 130 6 1 0 2

1 131 9 2 30 1

1 132 11 2 37 1

1 134 10 2 62 1

2 134 11 2 0 1

1 135 11 2 61 1

2 135 11 2 62 1

1 136 11 2 61 1

1 136 11 2 18 1

1 137 11 2 62 1

1 140 11 2 71 1