Suppose under the null hypothesis, the density of a test statistic T is fH_0(t)=2t I(t in [0,1]), and under the alternate, the test statistic T is fH_a(t)=2(1−t) I(t in [0,1]). Suppose H_0 is true (so T has density fH_0(t).) What is the probability that f_H_0(T)/f_H_a(T)<=0.5?

The product of the ages, in years, of three (3) teenagers os 4590. None of the have the sane age. What are the ages of the teenagers???

Use the row of numbers shown below to generate 12 random numbers between 01 and 99
78038 18022 84755 23146 12720 70910 49732 79606
Starting at the beginning of the row, what are the first 12 numbers between 01 and 99 in the sample?

How many different 10 letter words (real or imaginary) can be formed from the following letters
H,T,G,B,X,X,T,L,N,J.

Is every straight line the graph of a function?

For the 1s orbital of the Hydrogen atom, the radial wave function is given as: $R(r)=\frac{1}{\sqrt{\mathrm{\pi <!--\; \pi \; -->}}}(\frac{1}{a_O}{)}^{\frac{3}{2}}{e}^{\frac{-<!--\; -\; -->r}{a_O}}$ (Where $a_O=0.529$ ∘A)
The ratio of radial probability density of finding an electron at $r=a_O$ to the radial probability density of finding an electron at the nucleus is given as ($x.e^{-<!--\; -\; -->y}$). Calculate the value of (x+y).

Find the sets $A$ and $B$ if $\frac{A}{B}=\left(1,5,7,8\right),\frac{B}{A}=\left(2,10\right)$ and $A\cap B=\left(3,6,9\right)$. Are they unique?

What are the characteristics of a good hypothesis?

If x is 60% of y, find $\frac{x}{y-<!--\; -\; -->x}$.
A)$\frac{1}{2}$
B)$\frac{3}{2}$
C)$\frac{7}{2}$
D)$\frac{5}{2}$

The numbers of significant figures in $9.1\times <!--\; \times \; -->{10}^{-<!--\; -\; -->31}kg$ are:
A)Two
B)Three
C)Ten
D)Thirty one

What is positive acceleration?

Is power scalar or vector?

What is the five-step process for hypothesis testing?

How to calculate Type 1 error and Type 2 error probabilities?

How long will it take to drive 450 km if you are driving at a speed of 50 km per hour?
1) 9 Hours
2) 3.5 Hours
3) 6 Hours
4) 12.5 Hours

What is the square root of 106?