The population of random, two-digit numbers ranges from 00 to 99, has = 49.50 and

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The population of random, two-digit numbers ranges from 00 to 99, has μ = 49.50 and σ = 28.87. A statistician takes a random sample from this population and wants to see if his sample is representative. He figures that if it is representative, the sample mean will be close to 49.50. He plans to use a single-sample z test to test the sample against the population. Can this test be used?

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