According to a research study in 2010, there were 440 coyotes in a given region, and the predicted growth rate was 17% each year
. According to the study, what would be the coyote population in 2030? Round to the nearest whole number. Enter your answer in the box.
2 answers:
According to a<u> research study</u> in 2010, there were 440 coyotes in a given region, and the <u>predicted growth rate</u> was 17% each year. This gives you that after t years passed, the number of coyots will be
where is initial number of coyots,
r is predicted rate,
t is time (in years).
Since
you have
Answer: 10166.
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Answer:
So on this case the 90% confidence interval would be given by (45.39;62.61)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
represent the sample standard deviation
n=16 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 90% confidence interval would be given by (45.39;62.61)