Biologists are keeping track of the different kinds of fish in Lake Michigan. Identify the type of data.
2 answers:
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Answer:
When Sum of square of two Sides is equal to square of third side of triangle.
Step-by-step explanation:
Given:
Three side length of triangle are given we need find the which value to substitute for a, b, c in Pythagoras theorem.
First we will find the squares of all length, then we will check which two square of side are equal to square of third side as per Pythagoras theorem.
Hence the two side would according be a and b and third side will become c.
For example if length of triangle is given as 6 cm, 8 cm and 10 cm.
We will first take square of all
Now we can see that
Now by Pythagoras theorem.
Hence we can say a = 6 cm, b = 8 cm, c= 10 cm
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)