In a 2011 study from Texas A & M University forty-two drivers were placed behind the wheel of a car anddrove around a closed track about 11 miles in length The researchers monitored how long it took d

a. The appropriate hypothesis for this situation is:

H0: μ1 = μ2 = μ3 (There is no difference in mean reaction time between standard conditions, texting, and reading conditions) Ha: At least one mean reaction time is different from the others.

Where: μ1 = population mean reaction time under standard conditions μ2 = population mean reaction time while texting μ3 = population mean reaction time while reading

b.

Source | SS | df | MS | F -------|----|----|----|-- Between | SSB | 2 | MSB = SSB/2 | F = MSB/MSW Within | SSR | 123 | MSW = SSR/123 | Total | SST | 125 | |

SSB = [(1.754 - 3.611)^2 x 42] + [(4.302 - 3.611)^2 x 42] + [(3.278 - 3.611)^2 x 42] = 113.306

DFB = k - 1 = 3 - 1 = 2

MSB = SSB/DFB = 113.306/2 = 56.653

SSR = [(1-1.754)^2 + (1-1.754)^2 + ... + (1-4.302)^2 + ... + (1-3.278)^2] + [(1-1.754)^2 + ... + (1-3.278)^2] + [(1-4.302)^2 + ... + (1-3.278)^2] = 460.554

DFR = N - k = 126 - 3 = 123

MSW = SSR/DFR = 460.554/123 = 3.742

F = MSB/MSW = 56.653/3.742 = 15.131

The calculated F statistic is 15.131