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 40 42 53 55 62 54 50 42 Exit failures 47 52 56 56 60 46 52 45 (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) tcalc (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.) tcrit (d) Find the p-value. (Round your answer to 4 decimal places.) p-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 = 0.05.
| Truck 1 | Truck 2 | Truck 3 | Truck 4 | Truck 5 | Truck 6 | Truck 7 | Truck 8 | |
| Entry failures | 40 | 42 | 53 | 55 | 62 | 54 | 50 | 42 |
| Exit failures | 47 | 52 | 56 | 56 | 60 | 46 | 52 | 45 |
(b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)
tcalc
(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.)
tcrit
(d) Find the p-value. (Round your answer to 4 decimal places.)
p-value
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