Asked by Joscelyn Riddles on May 15, 2024

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The weight of baggage checked by airline passengers is a random variable with a mean of 50 pounds and a standard deviation of 30 pounds. The total baggage limit for 100 randomly selected passengers is 5,750 pounds.
What is the mean of the sampling distribution of the sum of the sample measurements?
______________
What is the standard deviation of the sampling distribution of the sum of the sample measurements?
______________
What is the approximate probability the baggage limit will be exceeded?
______________

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean, used to quantify the amount of variation or spread in a set of data values.

Sampling Distribution

A statistical distribution that outlines the probabilities of a certain statistic coming from a random sample.

Baggage Checked

The process of handing over passenger luggage to an airline or transportation provider for transport in the cargo area of a plane or vehicle.

  • Calculate the measures of central tendency and dispersion for sample distributions.
  • Apply statistical methodologies to assess probabilities connected with sampling distributions.
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JB
Jolonnie BirdenMay 17, 2024
Final Answer :
5000; 500; 0.0668