A hockey puck manufacturing company is trying to reduce the proportion of defective pucks it produces....

  

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A hockey puck manufacturing company is trying to reduce the proportion of defective pucks it produces. Traditionally, in a batch of 500 hockey pucks, 3% are defective. Suppose we take a random sample of 150 hockey pucks from the batch of 500. Define p^ to be the distribution of the sample proportion for the random sample of 150 hockey pucks. 1) State the mean of p^, rounded to 2 decimal places. 2) State the standard deviation of p^, rounded to 3 decimal places. 3) What is the probability that more than 4% of the hockey pucks, in the sample of 150 hockey pucks, is defective? Write the probability statement with your answer. 4) Would it be unusual to have less than 4% of the hockey pucks defective? Briefly explain. A hockey puck manufacturing company is trying to reduce the proportion of defective pucks it produces. Traditionally, in a batch of 500 hockey pucks, 3% are defective. Suppose we take a random sample of 150 hockey pucks from the batch of 500. Define p^ to be the distribution of the sample proportion for the random sample of 150 hockey pucks. 1) State the mean of p^, rounded to 2 decimal places. 2) State the standard deviation of p^, rounded to 3 decimal places. 3) What is the probability that more than 4% of the hockey pucks, in the sample of 150 hockey pucks, is defective? Write the probability statement with your answer. 4) Would it be unusual to have less than 4% of the hockey pucks defective? Briefly explain.