Manuals/calci/ZTEST

ZTEST (Array,Mean,StandardDeviationForPopulation,IsTwoTailed,Accuracy)

• $Array$ is the set of values.
• $Mean$ is the mean value.
• $StandardDeviationForPopulation$ is the standard deviation of the population.
• $IsTwoTailed$ is the value of the tail.
• 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 Accuracy} gives accurate value of the solution.
  • ZTEST() returns the one-tailed probability-value of a z-test.

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 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 (Array,Mean,StandardDeviationForPopulation,IsTwoTailed,Accuracy)} ,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 Array } is the array of values against which the hypothesized sample mean is to be tested.
• 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 Mean } is the hypothesized sample mean, and 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 StandardDeviationForPopulation} 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 (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,\mu_0,sigma)= 1-NORMDIST(\bar{x}-\mu_0)/\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,\mu_0)=1-NORMDIST(\bar{x}-\mu_0)/\frac{s}{\sqrt{n}}} where 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 \bar{x}} is sample mean , 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 s} is the sample deviation and 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 n} 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: 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 2*MIN(ZTEST(ar,\mu_0,sigma),1-ZTEST(ar,\mu_0,sigma))} .
• This function will give the result as error when

    1. Any one of the argument is non-numeric.
    2. Array or Mean value is empty.
    3. Array contains only one value.

Examples

1. Example 1

Spreadsheet

	A	B	C	D	E	F	G
1	10	15	7	2	19	20	12
2	3	4	8	1	10	15	5

1. =ZTEST(A1:G1,4) = 0.00042944272036
2. =2*MIN(ZTEST(A1:G1,4),1-ZTEST(A1:G1,4)) = 0.000858885440
3. =ZTEST(A2:F2,10) = 0.9708451547030459
4. =2*MIN(ZTEST(A2:F2,10),1-ZTEST(A2:F2,10)) = 0.058309690593908226

Related Videos

Z-TEST

See Also

• NORMDIST
• NORMINV
• NORMSDIST
• NORMSINV
• STANDARDIZE

References

• Z-test

• List of Main Z Functions

• Z3 home