03 // Kalkulator STEM Dua Arah // KALKULATOR INFERENSI STATISTIK, DISTRIBUSI & RISIKOt = (x̄ - μ₀) / (s / √n)

Kalkulator Statistik Uji-t Satu Sampel (Student's t-Test)

Hitung t = (x̄ - μ₀) / (s / √n) untuk memperoleh nilai t-statistik, rata-rata sampel x̄, rata-rata hipotesis nol μ₀, simpangan baku s, atau ukuran sampel n.

t = (x̄ - μ₀) / (s / √n)

Pilih nilai yang ingin dihitung (atau ketik langsung di kolom mana saja):Menghitung: t — Student's t-Statistic

Student's t-StatisticHasil

Test statistic on t-distribution with df = n - 1

-1515

unit

Observed Sample Mean

Arithmetic mean of the sample

-10,000.0010,000.00

unit

Null Hypothesis Mean

Benchmark mean under H₀

-10,000.0010,000.00

unit

Sample Standard Deviation

Bessel-corrected sample standard deviation

0.015,000.00

unit

Sample Size

Number of observations (Degrees of Freedom df = n - 1)

2100,000.00

unit

Hasil Perhitungan · Student's t-Statistic (t)

2.5

Langkah Perhitungan

01Canonical Law: t = (x̄ - μ₀) / (s / √n)

02Given Inputs (Base Units): x̄ = 105, μ₀ = 100, s = 10, n = 25

03Solve for t (Student's t-Statistic): t = 2.5

Student's one-sample t-test evaluates how many standard errors the observed sample mean x̄ lies away from the hypothesized null population mean μ₀ with (n - 1) degrees of freedom.

Nilai Referensi Nyata

Critical t (df = 24, α = 0.05 Two-Tailed)|t| ≥ 2.0639

Rejects H₀ at 95% confidence level

Critical t (df = 24, α = 0.01 Two-Tailed)|t| ≥ 2.7969

Rejects H₀ at 99% confidence level

Large-Sample Gaussian Limit (df → ∞)t* → z* = 1.9600

Converges to standard normal Z-distribution

Tabel Perbandingan 20 Baris

Student's t-Statistic (t) · Observed Sample Mean (x̄)

Bandingkan nilai:

One-Sample Student's t-Statistic Calculator — Observed Sample Mean → Student's t-Statistic
#	Observed Sample Mean (x̄)	Student's t-Statistic (t)	Δ %
01	-2,145.00	-1,122.50	-45000.00%
02	-1,881.84	-990.9211	-39736.84%
03	-1,618.68	-859.3421	-34473.68%
04	-1,355.53	-727.7632	-29210.53%
05	-1,092.37	-596.1842	-23947.37%
06	-829.2105	-464.6053	-18684.21%
07	-566.0526	-333.0263	-13421.05%
08	-302.8947	-201.4474	-8157.89%
09	-39.7368	-69.8684	-2894.74%
10	105 Aktif	2.5	0.00%
11	486.5789	193.2895	+7631.58%
12	749.7368	324.8684	+12894.74%
13	1,012.89	456.4474	+18157.89%
14	1,276.05	588.0263	+23421.05%
15	1,539.21	719.6053	+28684.21%
16	1,802.37	851.1842	+33947.37%
17	2,065.53	982.7632	+39210.53%
18	2,328.68	1,114.34	+44473.68%
19	2,591.84	1,245.92	+49736.84%
20	2,855.00	1,377.50	+55000.00%

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