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3 years ago

There are 20 small tropical fish swimming in a 55-gallon aquarium. What is the population density?

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

Answer:

The population density is 0.364 fish per gallon.

Step-by-step explanation:

The population density can be defined as the number of individuals (in this case, small tropical fish) per unit of area or volume. In this case, the volume of the aquarium (55 gallon).

The density can be calculated then as:

$d=\dfrac{P}{V}=\dfrac{20\;\text{fish}}{55\;\text{gal}}\approx0.364\dfrac{\text{fish}}{\text{gal}}$

The population density is 0.364 fish per gallon.

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Answer:

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Step-by-step explanation:

We are given the following data set:

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$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

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First, we design the null and the alternate hypothesis

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We use one-tailed t test to perform this hypothesis.

Formula:

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Now, $t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108$

Since,

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

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