Mean1 = 18.6

Mean2 = 14.6

SD1 = 12.5419

SD2 = 9.1815

T test value = 0.5754

<embed />

GENERATE WORK

GENERATE WORK

**Input Data : **

Data set x = 3, 11, 17, 28, 34

Data set y = 5, 8, 13, 19, 28

Total number of elements = 5

**Objective :**

Find what is f test calculation for given input data?

**Solution :**

mean1 = (3 + 11 + 17 + 28 + 34)/5

= 93/5

mean1 = 18.6

mean2 = (5 + 8 + 13 + 19 + 28)/5

= 73/5

mean2 = 14.6

SD1 = √(1/5 - 1) x ((3 - 18.6)^{2} + ( 11 - 18.6)^{2} + ( 17 - 18.6)^{2} + ( 28 - 18.6)^{2} + ( 34 - 18.6)^{2})

= √(1/4) x ((-15.6)^{2} + (-7.6)^{2} + (-1.6)^{2} + (9.4)^{2} + (15.4)^{2})

= √(0.25) x ((243.36) + (57.76) + (2.56) + (88.36) + (237.16))

= √(0.25) x 629.2

= √157.3

SD1 = 12.5419

SD2 = √(1/5 - 1) x ((5 - 14.6)^{2} + ( 8 - 14.6)^{2} + ( 13 - 14.6)^{2} + ( 19 - 14.6)^{2} + ( 28 - 14.6)^{2})

= √(1/4) x ((-9.6)^{2} + (-6.6)^{2} + (-1.6)^{2} + (4.4)^{2} + (13.4)^{2})

= √(0.25) x ((92.16) + (43.56) + (2.56) + (19.36) + (179.56))

= √(0.25) x 337.2

= √84.3

SD2 = 9.1815

t = x_{1} - x_{2}√(SD1^{2}/N1 + SD2^{2}/N2)

= 18.6 - 14.6√((12.5419)^{2}/5 + (9.1815)^{2}/5)

= 4√((157.3)/5 + (84.3)/5)

= 4√(31.46 + 16.86)

= 4√(48.32)

= 46.9513

t = 0.5754

** t-Test Calculator** is an online statistics tool for data analysis programmed to calculate the significance of observed differences between the means of two samples when there is null hypothesis that is no significant difference between the means. This calculator generate the T-test value according to the given two data set inputs of first data set mean and standard deviation and second data set mean and standard deviation. The T Test can be calculated from the below formula

where

S

S

N

N

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the student's t test for a given sets of data. With this online T test calculator you can effortlessly make your student's t distribution calculation for given data sets.