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 (a) Choose the appropriate hypotheses. Define the difference as Entry − Exit. multiple choice H0: μd = 0 versus H1: μd ≠ 0 H0: μd ≥ 0 versus H1: μd < 0 H0: μd ≤ 0 versus H1: μd > 0 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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

(a) Choose the appropriate hypotheses. Define the difference as Entry − Exit.

multiple choice

H₀: μ_d = 0 versus H₁: μ_d ≠ 0
H₀: μ_d ≥ 0 versus H₁: μ_d < 0
H₀: μ_d ≤ 0 versus H₁: μ_d > 0

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