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The following table contains the reaction times for 5 different panel configurat

ID: 3364133 • Letter: T

Question

The following table contains the reaction times for 5 different panel configurations for the emergency system and 20 operators responding to a particular emergency situation. The quality of a configuration panel can be measured by the mean reaction time and its standard deviation. Calculate the mean and standard deviation of the reaction time for each of the 10 panels. Which panel configuration would you recommend to minimize the risk of a nuclear accident caused by human error? Provide brief explanation of your answer referring to the numerical summaries.

el 3 81392899823 6 4230258 7| 4 5 4 4 8 7 8 2 4 6 4 4 4621442 a33333333333333333333 80904 14526|1|70 8270 729623- 0 5551 1122 4 a-12231 2 1|9053| 9 3 7 1 1 8 3 4 0 2014-95 1175| 9 7 7 7 4 0 7 3 6 8509215 a|2| 4 2 2 2 3 2 3 2 3 2 3 3 3 2 3 2 3 2 2 ||2688-88373 n271 a113 225452 331241 673746 492413 el-518 400752294045659 149598-87959 7243-4752-24 9 2 1|2|3|4|5|6 7 8|9| 10 11 4567890 rr-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r

Explanation / Answer

Result:

The following table contains the reaction times for 5 different panel configurations for the emergency system and 20 operators responding to a particular emergency situation. The quality of a configuration panel can be measured by the mean reaction time and its standard deviation. Calculate the mean and standard deviation of the reaction time for each of the 10 panels. Which panel configuration would you recommend to minimize the risk of a nuclear accident caused by human error? Provide brief explanation of your answer referring to the numerical summaries.

Descriptive statistics

Panel1

Panel2

Panel3

Panel4

Panel5

n

20

20

20

20

20

mean

33.675

35.000

30.075

18.905

34.975

sample standard deviation

19.600

21.664

5.606

14.973

2.006

Reaction time for panel 4 is minimum, 18.905. we recommend panel 4 to minimize the risk of a nuclear accident caused by human error.

Descriptive statistics

Panel1

Panel2

Panel3

Panel4

Panel5

n

20

20

20

20

20

mean

33.675

35.000

30.075

18.905

34.975

sample standard deviation

19.600

21.664

5.606

14.973

2.006

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