Confidence Interval Calculator Online
Sample statistics se mean ke liye confidence interval calculate karein, seedhe apne device par. Mean, standard deviation aur sample size daalein aur turant interval paayein.
Confidence Interval Calculator poori tarah aapke browser mein chalta hai. Aapka sample mean, standard deviation aur sample size aapke device par hi rehte hain aur kabhi ArrayKit par upload nahi hote.
Sample Size Calculator kholein
Confidence Interval Calculator ke baare mein
Confidence Interval Calculator sample mean, standard deviation aur sample size ko population ke asli mean ke liye ek confidence interval mein badal deta hai, 90%, 95% ya 99% confidence level ke liye standard normal (z) critical value use karke. Apne sample statistics daalein aur tool turant margin of error, interval ke lower aur upper bounds, aur use kiya gaya z critical value dikhata hai, taaki aap dekh sakein ki range kaise banaya gaya. Yeh statistics coursework, A/B test results, surveys aur kisi bhi sample mean estimate ki precision ki quick check ke liye useful hai. Wider interval ka matlab hai kam certainty; bada sample size ya kam confidence level interval ko narrow kar deta hai. Sab kuch aapke browser mein locally calculate hota hai, isliye aapke sample numbers kabhi bhi aapke device se bahar nahi jaate.
Features
- Sample statistics se mean ke liye 90%, 95% ya 99% confidence interval calculate karta hai
- Calculation mein use hua margin of error aur z critical value dikhata hai
- Mean, standard deviation ya sample size edit karte hi turant recalculate hota hai
- Confidence level badalne ke liye segmented control, kuch bhi dobara type kiye bina
- Inputs aur result interval ka plain-text summary copy karein
- Negative standard deviation ya invalid sample size ke liye clear error messages
- Standard z-interval formula use karta hai taaki results textbook calculations se match karein
- Poori tarah aapke browser mein chalta hai — koi bhi sample data kahin nahi bheja jaata
Confidence Interval Calculator kaise use karein
- Sample mean daalein
- Sample standard deviation daalein
- Sample size (n) daalein
- Confidence level chunein: 90%, 95% ya 99%
- Interval, margin of error aur z critical value padhein
Example
Input
μ=100, σ=15, n=36, 95%
Output
95% CI: [95.1, 104.9]
Common errors aur troubleshooting
- Interval bahut zyada wide lag raha hai. — Check karein ki daali gayi standard deviation sample ki SD hai, variance (SD ka square) nahi — square use karne se margin of error inflate ho jaata hai.
- Confidence Interval Calculator sample size mein error dikha raha hai. — Sample size (n) ek positive whole number honi chahiye jo 0 se bada ho — blank, zero ya negative value se interval nahi ban sakta.
- 95% se 99% confidence par switch karne se interval narrow nahi, wide ho gaya. — Yeh expected hai — higher confidence level bada z critical value use karta hai, jisse interval wide ho jaata hai taaki usme true mean aane ki probability zyada ho.
- Bahut chhote sample ke liye interval unrealistically narrow lag raha hai. — Yeh tool z (normal) interval use karta hai, jo ek reasonably large sample assume karta hai; chhote samples (roughly n < 30) ke liye ek t-interval, jisme degrees-of-freedom ki extra uncertainty hoti hai, usually zyada appropriate hota hai.
Aksar pooche jaane wale sawaal
- Confidence Interval Calculator kya calculate karta hai?
- Yeh sample mean, sample standard deviation aur sample size se population mean ke liye ek confidence interval calculate karta hai, aapke chune gaye confidence level (90%, 95% ya 99%) ke z critical value ka use karke.
- Confidence Interval Calculator margin of error kaise nikalta hai?
- Margin of error, z critical value ko sample standard deviation se multiply karke aur sample size ke square root se divide karke milta hai: ME = z × sd ÷ √n. Interval mean plus-minus us margin hota hai.
- 99% confidence interval, 95% wale se zyada wide kyun dikhta hai?
- Higher confidence level bada z critical value use karta hai (99% ke liye 2.576 vs 95% ke liye 1.96), jisse margin of error badh jaata hai taaki interval mein true mean aane ki probability zyada ho.
- Kya Confidence Interval Calculator z-interval ya t-interval use karta hai?
- Yeh 90%, 95% aur 99% confidence ke liye fixed critical values ke saath z (normal) interval use karta hai. Yeh standard large-sample approximation hai; bahut chhote samples ke liye t-interval better hota hai.
- Kya main Confidence Interval Calculator ko mean ki jagah proportion ke liye use kar sakta hoon?
- Yeh tool mean, standard deviation aur sample size se mean ke liye banaya gaya hai. Proportion confidence interval ke liye ek alag proportion-based formula chahiye hoga.
- Confidence Interval Calculator use karte waqt kya mera sample data upload hota hai?
- Nahin. Confidence Interval Calculator poori tarah aapke browser mein chalta hai. Aap jo numbers type karte hain wo kabhi upload ya server par send nahi hote.
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