The Growth Rate of the Bacterium, a Common Bacterium Found

question 50

Multiple Choice

The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. If the initial cell population is 100, determine the function Q(t) that expresses the exponential growth of the number of cells of this bacterium as a function of time t (in minutes) . How long will it take for a colony of 100 cells to increase to a population of 1 million? If the initial cell population were 1,000, how would this alter the model?

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Definitions:

Unexplained Variation

The portion of the total variation in a set of data that cannot be attributed to the variables considered in a study or model.

Unbiased Estimator

A statistic used to estimate a parameter of a population that, on average, exactly equals the true parameter.

Variance

Variance measures the dispersion of a set of data points around their mean value, quantifying how spread out the data points are.

Error Variable

The difference between observed and predicted values in a statistical model, representing unexplained or random variability.