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 = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 44 42 53 56 62 53 48 43 Exit failures 48 50 55 60 57 48 50 48 Click here for the Excel Data File (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (d) Find the p-value. (Round your answer to 4 decimal places.) (e) State your conclusion. Automated Gate: Number of Entry/Exit Failures Entry Exit In row format: Truck 1 44 48 Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Truck 2 42 50 Entry failures 44 42 53 56 62 53 48 43 Truck 3 53 55 Exit failures 48 50 55 60 57 48 50 48 Truck 4 56 60 Truck 5 62 57 Truck 6 53 48 Truck 7 48 50 Truck 8 43 48

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 = 0.05.

	Truck 1	Truck 2	Truck 3	Truck 4	Truck 5	Truck 6	Truck 7	Truck 8
Entry failures	44	42	53	56	62	53	48	43
Exit failures	48	50	55	60	57	48	50	48

Click here for the Excel Data File

(b) Find the test statistic t_calc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

(c) Find the critical value t_crit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

(d) Find the p-value. (Round your answer to 4 decimal places.)

(e) State your conclusion.

Automated Gate: Number of Entry/Exit Failures

	Entry	Exit		In row format:
Truck 1	44	48		Truck 1	Truck 2	Truck 3	Truck 4	Truck 5	Truck 6	Truck 7	Truck 8
Truck 2	42	50	Entry failures	44	42	53	56	62	53	48	43
Truck 3	53	55	Exit failures	48	50	55	60	57	48	50	48
Truck 4	56	60
Truck 5	62	57
Truck 6	53	48
Truck 7	48	50
Truck 8	43	48