Question

Let ? denote the mean reaction time of drivers to brake lights in front of them. A test of ?0:? ≤ 5,?1:? > 5 was performed for several experiments, whose attributes and results are below. Find the ?-value, or bound the ?-value, associated with each of the following.

a. ? = 7, ?0 = 0.94, MUST USE TABLE IN BOOK

b. ? = 12, ?0 = 2.41, MUST USE TABLE IN BOOK

c. ? = 41, ?0 = 3.49, MUST USE EXCEL FUNCTION

d. ? = 13, ?0 = 0.52, MUST USE EXCEL FUNCTION

Answer 1

(a)

t₀ = 0.94

ndf =7 - 1 = 6

One Tail - Right Side test

By Technology, p - value = 0.1918

Also from Table:

we note:

0.15 < p < 0.20

(b)

t₀ = 2.41

ndf =12 - 1 = 11

One Tail - Right Side test

By Technology, p - value = 0.0173

Also from Table:

we note:

0.01 < p < 0.025

(c)

t₀ = 3.49

ndf =41 - 1 = 40

One Tail - Right Side test

By Technology, p - value = 0.0006

(d)

t₀ = 0.52

ndf =13 - 1 = 12

One Tail - Right Side test

By Technology, p - value = 0.3063