Question

# 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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