# d.z.mean: d for Z-test from Population Mean and SD In MOTE: Effect Size and Confidence Interval Calculator

## Description

This function displays d for Z-test with the population mean and standard deviation. The normal confidence interval is also provided.

## Usage

 `1` ```d.z.mean(mu, m1, sig, sd1, n, a = 0.05) ```

## Arguments

 `mu` population mean `m1` sample study mean `sig` population standard deviation `sd1` standard deviation from the study `n` sample size `a` significance level

## Details

d is calculated by deducting the population mean from the sample study mean and dividing by the alpha level.

d = (m1 - mu) / sig

## Value

The effect size (Cohen's d) with associated confidence intervals and relevant statistics.

 `d` effect size `dlow` lower level confidence interval d value `dhigh` upper level confidence interval d value `M1` mean of sample `sd1` standard deviation of sample `se1` standard error of sample `M1low` lower level confidence interval of the mean `M1high` upper level confidence interval of the mean `Mu` population mean `Sigma` standard deviation of population `se2` standard error of population `z` z-statistic `p` p-value `n` sample size `estimate` the d statistic and confidence interval in APA style for markdown printing `statistic` the Z-statistic in APA style for markdown printing

## Examples

 ```1 2 3 4 5``` ```#The average quiz test taking time for a 10 item test is 22.5 #minutes, with a standard deviation of 10 minutes. My class of #25 students took 19 minutes on the test with a standard deviation of 5. d.z.mean(mu = 22.5, m1 = 19, sig = 10, sd1 = 5, n = 25, a = .05) ```

MOTE documentation built on May 2, 2019, 5:51 a.m.