You construct a 95% confidence interval for a population mean using a random sample. the confidence interval is 24.9less thanmu
1 answer:
No. It is not that the probability that 
is in the interval is 0.95 rather we are 95% confident that the true mean of the population will be in the stated interval.
Confidence interval does not specify the probability of the occurrence of a population mean in an interval, rather it specifies the level of confidence on the interval of occurrence of the population mean.
Confidence interval does not specify the probability of the occurrence of a population mean in an interval, rather it specifies the level of confidence on the interval of occurrence of the population mean.
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Option a: The number of bacteria at time x is 0.
Option b: An exponential function that represents the population is
Option c: The population after 10 minutes is 11534(app)
Explanation:
It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)
Option a: To determine the number of bacteria x when y = 200
From the graph, we can see that the line meets y = 200 when x = 0
Thus, the coordinates are (0,200)
Hence, the number of bacteria at time x is 0 when y = 200.
Option b: Now, we shall determine the exponential function of the population.
The general formula for exponential function is
Where a is the starting point and
b is the common difference.
To determine the common difference, let us divide,
Also,
Hence, the common difference is
Thus, substituting the values and
in the formula
,
we have,
Hence, An exponential function that represents the population is
Option c: To determine the population after 10 minutes, let us substitute in
, since the x represents the population of the bacteria in minutes.
Thus, we have,
Hence, the population after 10 minutes is 11534(app)