During a Natural Gas Shortage,a Gas Company Randomly Sampled Residential

question 132

Essay

During a natural gas shortage,a gas company randomly sampled residential gas meters in order to monitor daily gas consumption.On a particular day,a sample of 100 meters showed a sample mean of 250 cubic feet and a sample standard deviation of 50 cubic feet.Provide a 90% confidence interval estimate of the mean gas consumption for the population.

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Definitions:

Median

The middle value in a sorted list of numbers, which divides the data set into two halves.

IQR

Interquartile range, a measure of statistical dispersion being the difference between the 75th and 25th percentiles, or quartiles, in a data set.

Range

The difference between the highest and lowest values in a data set, giving an indication of the data's dispersion or variability.

Median

The middle value in a set of numbers, which separates the higher half from the lower half.