A researcher has a first-grade readiness test that is administered to kindergarten students and scored at the interval level. The population mean is 60, with a standard deviation of 10. He has administered it, individually, to a random sample of 58 kindergarten students in a city, M = 66, and wants to use a single-sample z test, two-tailed with α = .05, in order to see whether first-grade readiness in this city differs from the national level. Check the assumptions and decide if it is OK for him to proceed with the single-sample z test.

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