Friday, December 21, 2012

Value of Test Statistic Calculator


Value of test statistic calculator is used to find the value of z, f and p value for one and two tailed. This calculator is used to reduce the manual works and also provide correct value for the given problem.  It is one of the important concepts in the statistics.  Let us discuss some problems about this topic.
Example Problems – Value of Test Statistic Calculator

Example problem 1 – Value of test statistic calculator

Evaluate the z test value if the value of y is 4, mean `mu` is 4, standard deviation (`sigma` ) is 3 and the value of n is 1.

Solution:

Given,

The value of y is 4

The value of mean mu is 4

The value of standard deviation sigma is 3

The value of n is 1

problem 1 calc - value of test statistic calculator

Now, we need to evaluate the value of z

Already we know the formula

Formula: `z = (y - mu)/(sigma/sqrt(n))`

z = `(4 - 4)/(2/sqrt(1))`

= `0/(3/1)`

= `0/3`

= 0

Answer:  0

Example problem 2 – Value of test statistic calculator

Evaluate the z test value if the value of y is 5, mean `mu` is 4, standard deviation (`sigma` ) is 2 and the value of n is 4.

Solution:

Given,

The value of y is 5

The value of mean `mu` is 4

The value of standard deviation `sigma` is 2

The value of n is 4

problem 2 calc - value of test statistic calculator

Now, we need to find the value of z

Already we know the formula

Formula: `z = (y - mu)/(sigma/sqrt(n))`

z = (5-4)/(2/2)

= `1/1`

= 1

Answer:  1
Practicing Problems – Value of Test Statistic Calculator

Practicing problem 1 – Value of test statistic calculator

Evaluate the z test value and p value for one tailed if the value of y is 3, mean `mu` is 4, standard deviation (`sigma` ) is 5 and the value of n is 4.

Answer:

The value of z test is -0.4

The value of p test for one tailed is 0.3446

Practicing problem 2 – Value of test statistic calculator

Evaluate the z test value if the value of y is 3, mean `mu` is 4, standard deviation (`sigma` ) is 5 and the value of n is 2.

Answer:  -0.28

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