Answer: x= 5 and y= -2 or (5,-2)
Step-by-step explanation:
Answer:
a. Type I error because the principal rejected the null hypothesis when it was true.
Step-by-step explanation:
We are given that principal of a school believed that his students scored better than the national average. For this principal collected a simple random sample of student SAT scores in math. The sample data collected had a mean student SAT score higher than 550 and the calculated P-value indicated that the null hypothesis should be rejected which means;
Null Hypothesis,
:
= 550 {means school's students' SAT scores is the same as the national mean score of 550}
Alternate Hypothesis,
:
> 550 {means school's students' SAT scores is higher than the national mean score of 550}
But, in fact, the true population mean of that school's students' SAT scores is the same as the national mean score and P-value indicates that the null hypothesis should be rejected.
Hence error has been occurred.
Type I error states that Probability of rejecting null hypothesis given the fact that
is true and this is the case of our question as Principal had rejected the null hypothesis based on p-value but in actual
was true.
The base will have the greatest area for a given perimeter if it is square. If the edge of the square base has length x (in feet), then the total material requirement in square feet is
.. m = x^2 +(4/x^2)*(4x)
.. m = x^2 +16/x
This will have a minimum where dm/dx = 0.
.. dm/dx = 2x -16/x^2 = 0
.. x^3 = 8 . . . . . . . . . . . . . . . multiply by x^2/2 and add 8
.. x = 2
The tank is 2 feet square and 1 ft high.
_____
You will note that it is half the height of a cube that has double the volume. This is the generic solution to all minimum cost open-top box problems. Actually, the costs of pairs of opposite sides are equal to each other and to the cost of the base. If material costs are not identical in all directions, that is the more generic solution.
Answer:
A is the correct answer to the question