Question

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.01.

	Truck 1	Truck 2	Truck 3	Truck 4	Truck 5	Truck 6	Truck 7	Truck 8
Entry failures	44	41	55	57	65	50	45	43
Exit failures	47	52	56	57	57	46	51	49
Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) Find the critical value tcrit for α = 0.01. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) Find the p-value. (Round your answer to 4 decimal places.)

Answer 1

from above:

1)

test statistic t_calc = -0.879

₂₎

critical value t_crit = -/+ 3.499

3)

p-value =0.4086