esma aslan

library(tidyverse)

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library(lsr)

## Warning: package 'lsr' was built under R version 4.5.3

library(dplyr)

#başlık

set.seed(123)
boy_verisi <-data.frame(id=1:43) %>% 
  mutate(boy=round(rnorm(n(), 108.5),1))

shapiro.test(boy_verisi$boy)#normallik testi

## 
##  Shapiro-Wilk normality test
## 
## data:  boy_verisi$boy
## W = 0.98805, p-value = 0.9289

#tek örneklem t-testi
oneSampleTTest(boy_verisi$boy,mu = 110)

## 
##    One sample t-test 
## 
## Data variable:   boy_verisi$boy 
## 
## Descriptive statistics: 
##                 boy
##    mean     108.493
##    std dev.   0.903
## 
## Hypotheses: 
##    null:        population mean equals 110 
##    alternative: population mean not equal to 110 
## 
## Test results: 
##    t-statistic:  -10.946 
##    degrees of freedom:  42 
##    p-value:  <.001 
## 
## Other information: 
##    two-sided 95% confidence interval:  [108.215, 108.771] 
##    estimated effect size (Cohen's d):  1.669

#analiz sonucunda,çocukların boy ortalamasının 100 cm olan referans değerden anlamlı düzeyde düşük olduğu görülmüştür (t(42))=-10.95,p<.001,%95 GA {108.77}).test sonucu hesaplanan etki büyüklüğü d=1.669 farkın çok büyük olduğunu göstermektedir. Bu durumda çocukların boy ortalaması (X=100cm) düşük olduğu için ,çocukların boy gelişimi açısından akranlarının gerisinde kaldığı söylenebilir.