[See Steps] The weight of bags "checked in" is normal, with a mean of 30 pounds and a standard deviation of 9 pounds. What is the probability that a randomly


Question:

The weight of bags "checked in" is normal, with a mean of 30 pounds and a standard deviation of 9 pounds.

  1. What is the probability that a randomly selected bag will weigh more than 48 pounds?
  2. What is the probability that the total weight of 4 bags will be more than 192 pounds?
  3. Find the probability that a sample of 81 bags will average more than 32 pounds.
  4. If a sample of 36 bags showed the mean to be 33 pounds, can you conclude that the average weight has changed? (use alpha = 0.05)

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