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Please walk me through these problems step by step and explain why. Thank you! Suppose a sample ofn= 50 items is selected from a population

Please walk me through these problems step by step and explain why. Thank you!

  1. Suppose a sample ofn= 50 items is selected from a population of manufactured products and the weight,X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with u= 6 ounces and standard deviation= 2.5 ounces. The mean of sampling distribution is_____?
  2. The mean score ofallpro golfers for a course has a mean of 70 and a standard deviation of 3.0. Suppose 36 pro golfers played the course today. Find the probability that the mean score of the 36 pro golfers exceeded 71.Rounded off to 4 decimal places and show calculation in Excel.
  3. The managers of a company are worried about the morale of their employees. To determine if a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction, which has a known standard deviation of 24 points.They should sample ________employees if they want to estimate the mean score of the employees within 5 points with 90% confidence.

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