James the postman is accused by his manager of being too slow in completing his mail deliveries. James feels he is completing his designated routes within a reasonable amount of time and calls for an investigation. He makes a point of recording the time it takes him to complete each of his four routes and it turns out they each take 110 minutes. On which of the following routes would James be considered unusually slow compared to the other posties who deliver on the same routes? Route 1 where the mean time is μ = 60 minutes and the standard deviation σ = 20 minutes. Route 2 where the mean time is μ = 120 minutes and the standard deviation σ = 10 minutes. Route 3 where the mean time is μ = 100 minutes and the standard deviation σ = 10 minutes. Route 4 where the mean time is μ = 140 minutes and the standard deviation σ = 15 minutes On which of the routes would James be considered unusually slow compared to the other posties who deliver on the same routes? Justify your answer, quoting the relevant statistics as part of your explanation. Assume the route times are normally distributed.
James the postman is accused by his manager of being too slow in completing his mail deliveries. James feels he is completing his designated routes within a reasonable amount of time and calls for an investigation. He makes a point of recording the time it takes him to complete each of his four routes and it turns out they each take 110 minutes. On which of the following routes would James be considered unusually slow compared to the other posties who deliver on the same routes? Route 1 where the mean time is μ = 60 minutes and the standard deviation σ = 20 minutes. Route 2 where the mean time is μ = 120 minutes and the standard deviation σ = 10 minutes. Route 3 where the mean time is μ = 100 minutes and the standard deviation σ = 10 minutes. Route 4 where the mean time is μ = 140 minutes and the standard deviation σ = 15 minutes
On which of the routes would James be considered unusually slow compared to the other posties who deliver on the same routes?
Justify your answer, quoting the relevant statistics as part of your explanation. Assume the route times are
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