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Suppose you know the population average wage in the manufacturing industry in California is $24.66 per hour. Research Question: Is the population average manufacturing wage in Utah less than $24.66 per hour, the population average manufacturing wage in the California? You know the population standard deviation for manufacturing wages in Utah is $2.35 per hour. Suppose you are using a signicance level of 0.01 or 1% (a = 0.01). What is the smallest sample size you would need to make the probability of a Type II Error less than 0.01 (less than 1%) for your hypothesis test if the true average Utah wage is $24 per hour