Question

# Taxpayer Form 1 Form 2 Form 3 Form 4 1 109 115 126 120 2 98...

 Taxpayer Form 1 Form 2 Form 3 Form 4 1 109 115 126 120 2 98 103 107 108 3 29 27 53 38 4 93 95 103 109 5 62 65 67 64 6 103 107 111 128 7 83 82 101 116 8 122 119 141 143 9 92 101 105 108 10 107 113 127 113 11 103 111 111 108 12 54 64 67 62 13 141 145 142 160 14 92 94 95 102 15 29 32 33 62 16 83 83 89 86 17 34 36 40 48 18 83 86 90 119 19 157 157 172 193 20 99 107 111 100 21 118 123 117 130 22 58 65 75 81 23 66 71 79 81 24 60 60 78 41 25 102 106 100 142 26 128 134 135 142 27 87 93 90 77 28 126 134 129 154 29 133 130 148 164 30 100 112 107 120

Each of the three new forms and the currently used form were filled out by 30 different people. The amount of time (in minutes) taken by each person to complete the task was recorded.

a) Describe the problem background, the objective of the study and identify the type of scale of measurement for the data

b) Use appropriate descriptive statistics to explore and summarize the data for Tax form 2 & 3 and compare their results. Remember to interpret the findings accurately and present them in a clear and coherent way.

(a) The problem is the amount of time taken by each person to complete the task. The objective of the study is to minimize the amount of time taken by each person to complete the task. The scale of measurement is ratio scale.

(b) The descriptive statistics to explore and summarize the data for Tax form 2 & 3 is:

 Form 2 Form 3 count 30 30 mean 95.67 101.63 sample standard deviation 32.57 31.88 sample variance 1,061.06 1,016.59 minimum 27 33 maximum 157 172 range 130 139 1st quartile 73.75 81.50 median 102.00 104.00 3rd quartile 114.50 123.75 interquartile range 40.75 42.25 mode 65.00 111.00

The mean time taken to fill the form 2 is less than form 3. The variation in the filling time is more for form 2. The middle most time to fill out the form is less for form 1.

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