<span>2^(3x)/2^y = 2^(3x-y) = 2^12 = 4096</span>
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The sampling distribution of the difference in sample means x⁻₁ - x⁻₂ is; 3.5 - 3.5 = 0
<h3>Difference in sample means</h3>
We are told that;
- A fair six-sided die, with sides numbered 1 through 6, will be rolled a total of 15 times.
- x⁻₁ represents the average of the first ten rolls.
- x⁻₂ represents the average of the remaining five rolls.
Now, the average of the largest and lowest numbers of the six sided die is;
E(x) = (6 + 1)/2 = 3.5
Thus, the average mean of the first ten rows is expressed as;
E(x⁻₁) = (n * E(x))/n
E(x⁻₁) = (10 * 3.5)/10
E(x⁻₁) = 3.5
The average mean of the last five rolls will be;
E(x⁻₂) = (n * E(x))/n
E(x⁻₂) = (5 * 3.5)/5
E(x⁻₂) = 3.5
Thus;
x⁻₁ - x⁻₂ = 3.5 - 3.5 = 0
Read more about difference in sample means at; brainly.com/question/16428987
The correct answers are:
a. 2. decrease.
b. 2. decrease.
Since the phytoplankton is at the bottom of the food chain in this situation, and it is the one that is the most affected by the pollution, all the species directly and indirectly connected to it will suffer as well.
The numbers of the marsh snails will significantly decrease because they will lose their primary food source. As a chain reaction, as the number of marsh snails decreases, the painted turtles will lose their own prime food source, sot heir numbers will decrease significantly as well.
