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QUESTION 41 Use the following scenario and data for questions 41 to 45: The distribution of...

QUESTION 41

  1. Use the following scenario and data for questions 41 to 45:


    The distribution of weights of cereal boxes filled in a production line is unknown. However, the mean is u=15.60 OZs and the standard deviation is 0.2200 OZs. To check if the weights of the cereal boxes meet specifications, a random sample of n=64 boxes is selected. Use X to denote the sample mean.


    The mean (or expected value) of the sample mean X is:

    15.0000

    15.4400

    15.8800

    15.7600

    none of the above

  2. The standard deviation of the sample mean X is

    0.0220

    0.0275

    0.0800

    0.6400

    none of the above

  3. The probability that the sample mean X is less than or equal to 15.58 OZs is closest to

    0.2327

    0.2673

    0.7273

    0.7673

    none of the above

  4. The probability that the sample mean X is less than or equal to 15.63 OZs is closest to

    0.1379

    0.3621

    0.8621

    1.0909

    none of the above

  5. The probability that the sample mean X is between 15.55 and 15.58 OZs is closest to

    0.7329

    0.4656

    0.2673

    0.1983

    none of the above

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