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Jim and his sister, Alison, each deliver 30 papers on their evening paper rounds and each are paid the same amount.
2. Jim and his sister, Alison, each deliver 30 papers on their evening paper rounds and each are paid the same amount. One evening Alison claims this system of equal payment to be unfair as her round takes on average longer than that of her brother, James. To test her claim their father, unknown to them, records their delivery times for 12 consecutive days. One of Alison’s times had to be discounted as the front tire of her bicycle was punctured. Jim’s average delivery time was 38 minutes whereas Alison’s average delivery time was 40 minutes. The respective standard deviations were 5 minutes and 4 minutes.a)
