Please see the attached file; Do a complete hypothesis, include the hypothesis, decision rule, calculation of test statistic, decision, interpretation and t value.
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 = .01.
Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8
Entry failures 43 45 53 56 61 51 48 44
Exit failures 48 51 60 58 58 45 55 50
Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.