Question

Suppose you are running an experiment investigating drivers’ response times to a stop sign. Response time...

Suppose you are running an experiment investigating drivers’ response times

to a stop sign. Response time is defined at the time the driver puts

their foot on the break until the driver comes to a complete stop and is measured in seconds. The data is as

follows: 7, 8, 9, 6, 11, 9, 5, 12, 15, 10, 11, 6, 8, 8, 14. Plot a normal probability plot. Is the data normally distributed? Explain.

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Answer #1

To make the normal probability plot first we need to sort the data and then we need to find the area left to z-scores k /2n. Here k= 1, 3, 5, ...and n=15. Following table shows the same:

Data Sampe size Numerator Sorted Data Formula used Z-scores 5 6 6 -1.833914636-NORMSINV(E2/(2*$C$2)) -1.281551566-NORMSINV(E3/(2*$C$2)) 0.967421566-NORMSINV(E4/(2*$C$2)) 0.727913291-NORMSINV(E5/(2*$C$2)) 0.524400513-NORMSINV(E6/(2*$C$2)) 0.340694827-NORMSINV(E7/(2*$C$2)) 0.167894005-NORMSINV(E8/(2*$C$2)) -1.392|4E-16-NORMSINV(E9/(2*$C$2)) 0.167894005 NORMSINV(E10/(2* $C$2)) 0.340694827 0.524400513 0.727913291 0.967421566 1.281551566 1.833914636 15 6 13 15 17 19 21 23 25 27 29 12 15 10 10 6 12 14 15 14

Now we need to plot data on x-axis and z-scores on y-axis. Following is the normal probability plot:

2.5 2 1.5 0.5 0 0.5 0 4 6 10 12 14 16 1.5 -2.5 Data

Since plot shows approximately straight line so we can say that the data normally distributed.

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