# masukan data vektor
data_wifi <- c(18.2, 21.5, 19.8, 23.1, 17.6, 20.4, 22.9, 16.8, 19.1, 24.3, 18.7, 21.0, 20.2, 17.9, 23.6, 19.4, 22.1, 18.0, 20.9, 21.7, 16.5, 19.9, 23.4, 18.3, 21.2)
# soal 1 : mencari rata-rata dan standar deviasi kecepatan unduh
rata_rata <- mean(data_wifi)
std_deviasi <- sd(data_wifi)
print(paste("rata-rata sampel (mean):", round(rata_rata, 4)))
## [1] "rata-rata sampel (mean): 20.26"
print(paste("standar deviasi sampel (sd):", round(std_deviasi, 4)))
## [1] "standar deviasi sampel (sd): 2.2177"
# soal 2 : interval kepercayaan 95% untuk rata-rata kecepaatan unduh seluruh titik akses di kampus dan perhitungan manual
t.test(data_wifi, conf.level = 0.95)
##
## One Sample t-test
##
## data: data_wifi
## t = 45.677, df = 24, p-value < 2.2e-16
## alternative hypothesis: true mean is not equal to 0
## 95 percent confidence interval:
## 19.34457 21.17543
## sample estimates:
## mean of x
## 20.26
n <-length(data_wifi)
se <- std_deviasi / sqrt(n)
t_crit_95 <- qt(0.975, df = n - 1)
margin_95 <- t_crit_95 * se
ci_95_bawah <- rata_rata + margin_95
# soal 3 ; hasil dan perbandingan inteval kepercayaan 90% dan 99% dari data
t.test(data_wifi, conf.level = 0.90)
##
## One Sample t-test
##
## data: data_wifi
## t = 45.677, df = 24, p-value < 2.2e-16
## alternative hypothesis: true mean is not equal to 0
## 90 percent confidence interval:
## 19.50114 21.01886
## sample estimates:
## mean of x
## 20.26
t.test(data_wifi, conf.level = 0.99)
##
## One Sample t-test
##
## data: data_wifi
## t = 45.677, df = 24, p-value < 2.2e-16
## alternative hypothesis: true mean is not equal to 0
## 99 percent confidence interval:
## 19.01943 21.50057
## sample estimates:
## mean of x
## 20.26
summary(cars)
## speed dist
## Min. : 4.0 Min. : 2.00
## 1st Qu.:12.0 1st Qu.: 26.00
## Median :15.0 Median : 36.00
## Mean :15.4 Mean : 42.98
## 3rd Qu.:19.0 3rd Qu.: 56.00
## Max. :25.0 Max. :120.00
Dalam konteks kecepatan wifi kampus margin of error ini adalah rata-rata kecepatan wifi asli untuk seluruh kampus untirta yang mana semakin kecil MOE nya berarti sampel datanya lebih akurat.