Difference between revisions of "Manuals/calci/ZTEST"
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Line 21: | Line 21: | ||
2. ar or x is empty. | 2. ar or x is empty. | ||
3. ar contains only one value. | 3. ar contains only one value. | ||
− | <math>ZTEST(ar,\mu_0,sigma)= 1-NORMDIST(\bar{x}-\mu_0)/\frac{\sigma}{\sqrt{n}</math> | + | <math>ZTEST(ar,\mu_0,sigma)= 1-NORMDIST(\bar{x}-\mu_0)</math> |
+ | <math>\frac{\sigma}{\sqrt{n}</math> | ||
==Examples== | ==Examples== | ||
#'''Example 1''' | #'''Example 1''' |
Revision as of 16:25, 26 January 2018
ZTEST(ar,x,sigma)
- is the array of values.
- is the value to test.
- is the standard deviation of the population.
Description
- This function gives the one-tailed probability of z-test.
- Z-test is used to determine whether two population means are different when the variances are known and the sample size is large.
- In , is the array of values against which the hypothesized sample mean is to be tested.
- is the hypothesized sample mean, and is the standard deviation of the population.
- When we are not giving the sigma value, it will use the standard deviation of sample.
- This function returns the probability that the supplied hypothesized sample mean is greater than the mean of the supplied data values.
- The test statistic should follow a normal distribution.
- ZTEST is calculated when sigma is not omitted and x=μ0 : Failed to parse (syntax error): {\displaystyle ZTEST(ar,\mu_0,sigma)=1-NORMSDIST((\bar{x}-μ0)/\frac{sigma}{\sqrt{n}})} .
- ZTEST is calculated when sigma is omitted and x=μ0:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ZTEST(ar,μ0)=1-NORMSDIST((\bar{x}-μ0)/\frac{s}{\sqrt{n}})} where is sample mean , is the sample deviation and is the size of the sample.
- Suppose we want to calculate the z-test for two tailed probability then this can be done by using the Z_test function: .
- This function will give the result as error when
1. Any one of the argument is non-numeric. 2. ar or x is empty. 3. ar contains only one value.
Failed to parse (syntax error): {\displaystyle \frac{\sigma}{\sqrt{n}}
Examples
- Example 1
A | B | C | D | E | F | G | |
---|---|---|---|---|---|---|---|
1 | 10 | 15 | 7 | 2 | 19 | 20 | 12 |
2 | 3 | 4 | 8 | 1 | 10 | 15 | 5 |
- =ZTEST(A1:G1,4) = 0.00042944272036
- =2*MIN(ZTEST(A1:G1,4),1-ZTEST(A1:G1,4)) = 0.000858885440
- =ZTEST(A2:F2,10) = 0.9323691845
- =2*MIN(ZTEST(A2:F2,10),1-ZTEST(A2:F2,10)) = 0.135261630850
Related Videos
See Also
References