As the number of degrees of freedom for a t distribution increases. True or False

Mathematics

1 answer:

valkas [14]3 years ago

7 0

Answer:

t distribution behaves like standard normal distribution as the number of freedom increases.

Step-by-step explanation:

The question is missing. I will give a general information on t distribution.

t-distribution is used instead of normal distribution when the sample size is small (usually smaller than 30) or population standard deviation is unknown.

Degrees of freedom is the number of values in a sample that are free to vary. As the number of degrees of freedom for a t-distribution increases, the distribution looks more like normal distribution and follows the same characteristics.

You might be interested in

If 2 sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?

Leno4ka [110]

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

6 0

3 years ago

The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,

ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

$AC^2 =AB^2 +BC^2 \\ = {12}^{2} + {5}^{2} \\ = 144 + 25 \\ = 169 \\ AC = \sqrt{169} \\ \therefore \: AC = 13\: m \\ \\ AC \: is \: the \: diameter \: of \: semicircle \\ \therefore \: r = \frac{1}{2} \times AC = \frac{1}{2} \times 13 = 6.5 \: m \\ Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:$

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

$=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2$