9.71 A police officer is analyzing the crime index of a town in a region. He claims

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9.71 A police officer is analyzing the crime index of a town in a region. He claims that the town has an average crime index of 45.25 with the population standard deviation being no more than 10. A random sample of 14 towns’ crime index provides the followings measures a

8 i=1 xi = 560 and a 8

i=1 1xi - x22 = 8.1 The population distribution can be assumed to be normal.
Test, at the 2.5% level, the null hypothesis that the population standard deviation is at most 10.

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