What is the number called that determines each unique T distribution?

Normal distributions
asked 2021-01-22
What is the number called that determines each unique T distribution?

Answers (1)

Step 1
The t-distribution, also known as the Student’s t-distribution, is a type of continuous probability distribution which is used to estimate the population parameters when the sample size is small and/or when the population standard deviation is unknown.
It is similar to the normal distribution with its bell shape although it has heavier tails because it has greater chance for extreme values in the tails than normal distributions.
Step 2
The degrees of freedom is the number that determines each unique t-distribution. The shape of the t-distribution is defined by the degrees of freedom (df) that went into the estimation of the standard deviation.
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-06-05
Use the following Normal Distribution table to calculate the area under the Normal Curve (Shaded area in the Figure) when \(Z=1.3\) and \(H=0.05\);
Assume that you do not have vales of the area beyond \(z=1.2\) in the table; i.e. you may need to use the extrapolation.
Check your calculated value and compare with the values in the table \([for\ z=1.3\ and\ H=0.05]\).
Calculate your percentage of error in the estimation.
How do I solve this problem using extrapolation?
\(\begin{array}{|c|c|}\hline Z+H & Prob. & Extrapolation \\ \hline 1.20000 & 0.38490 & Differences \\ \hline 1.21000 & 0.38690 & 0.00200 \\ \hline 1.22000 & 0.38880 & 0.00190 \\ \hline 1.23000 & 0.39070 & 0.00190 \\ \hline 1.24000 & 0.39250 & 0.00180 \\ \hline 1.25000 & 0.39440 & 0.00190 \\ \hline 1.26000 & 0.39620 & 0.00180 \\ \hline 1.27000 & 0.39800 & 0.00180 \\ \hline 1.28000 & 0.39970 & 0.00170 \\ \hline 1.29000 & 0.40150 & 0.00180 \\ \hline 1.30000 & 0.40320 & 0.00170 \\ \hline 1.31000 & 0.40490 & 0.00170 \\ \hline 1.32000 & 0.40660 & 0.00170 \\ \hline 1.33000 & 0.40830 & 0.00170 \\ \hline 1.34000 & 0.41010 & 0.00180 \\ \hline 1.35000 & 0.41190 & 0.00180 \\ \hline \end{array}\)
asked 2021-06-15
The missing number in the series 1, 4, 27,____, 3125 is: 81 35 729 256 115
asked 2021-05-16
Consider the curves in the first quadrant that have equationsy=Aexp(7x), where A is a positive constant. Different valuesof A give different curves. The curves form a family,F. Let P=(6,6). Let C be the number of the family Fthat goes through P.
A. Let y=f(x) be the equation of C. Find f(x).
B. Find the slope at P of the tangent to C.
C. A curve D is a perpendicular to C at P. What is the slope of thetangent to D at the point P?
D. Give a formula g(y) for the slope at (x,y) of the member of Fthat goes through (x,y). The formula should not involve A orx.
E. A curve which at each of its points is perpendicular to themember of the family F that goes through that point is called anorthogonal trajectory of F. Each orthogonal trajectory to Fsatisfies the differential equation dy/dx = -1/g(y), where g(y) isthe answer to part D.
Find a function of h(y) such that x=h(y) is the equation of theorthogonal trajectory to F that passes through the point P.
asked 2021-05-03
Describe in words the surface whose equation is given. (assume that r is not negative.) \(\theta=\frac{\pi}{4}\)
a) The plane \(y = −z\) where y is not negative
b) The plane \(y = z\) where y and z are not negative
c) The plane \(y = x\) where x and y are not negative
d) The plane \(y = −x\) where y is not negative
e) The plane \(x = z\) where x and y are not negative