Boys of a certain age are known to have a mean weight of µ = 85 pounds. A complaint is made that the boys living in a municipal children’s home are underfed. As one bit of evidence, n = 25 boys (of the same age) are weighed and found to have a mean weight of x¯ = 80.94 pounds. It is known that the population standard deviation σ is 11.6 pounds (the unrealistic part of this example!). Based on the available data, what should be concluded concerning the complaint?

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Boys of a certain age are known to have a mean weight of µ = 85 pounds. A complaint is made that the boys living in a municipal children’s home are underfed. As one bit of evidence, n = 25 boys (of the same age) are weighed and found to have a mean weight of x¯ = 80.94 pounds. It is known that the population standard deviation σ is 11.6 pounds (the unrealistic part of this example!). Based on the available data,
what should be concluded concerning the complaint?

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