In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars is her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court files in her hometown and finds that x = 21.4 months and s = 7 months. Use a 5% significance level to perform the test. Assume normally distributed population.

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In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars is her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court files in her hometown and finds that x = 21.4 months and s = 7 months. Use a 5% significance level to perform the test. Assume normally distributed population.

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