Mhesabu wa Kupita Kiasi

Jenga kipindi cha uhakika kwa ajili ya maana kutoka kwa kile sampuli cha maradhi, SD na ukubwa.

Kufungwa Chini —
Sehemu ya juu ikifungwa —
Mzozo wa makosa —
Kosa la kawaida —

Matokeo yanakuwa bora zaidi unapochapa.

Je, hesabu hiyo ilikupa jibu linalofaa?

Kuhusu kifaa hiki cha kupigia hesabu

A confidence interval gives a range that is likely to contain the true population mean, estimated from a sample. Instead of a single best guess it reports a band together with a confidence level that says how often such bands capture the true value.

This calculator uses the z-interval: mean ± z*·(σ / √n), where z* is the standard-normal critical value for your chosen confidence level (1.645 for 90%, 1.96 for 95%, 2.576 for 99%) and σ / √n is the standard error. It reports the bounds, the margin of error and the standard error, and a table shows the interval at the 90%, 95% and 99% levels so you can see how the range widens as you demand more confidence.

Worked example: a sample mean of 100 with a standard deviation of 15 and 50 observations has a standard error of 15 ÷ √50 ≈ 2.12. At 95% confidence the margin is 1.96 × 2.12 ≈ 4.16, giving an interval of about 95.84 to 104.16. The z-interval suits large samples (roughly n ≥ 30) or a known population standard deviation; for small samples use a t-interval instead.

Maswali yaliyoulizwa mara nyingi

Kipindi cha uhakika cha asilimia 95 kinamaanisha nini?

It means that if you repeated the sampling many times and built an interval each time, about 95% of those intervals would contain the true population mean. It does not mean there is a 95% probability the mean is in this one particular interval.

Ni wakati gani nitumie kipindi cha mapumziko?

Usitumie mbinu ya kupisha wakati ambapo sampuli ni ndogo (kwa wazi chini ya 30) na kiwango cha watu kimepotoka.

Ni nini nafasi ya kosa katika kipindi cha katikati cha uhakika?

Sehemu ya katikati ya makosa ni nusu - siri ya kipindi hicho, z*· ngumuríz.[1] Unaongeza na kukiondoa kutoka kwenye sampuli hiyo kunamaanisha kufikia mipaka ya juu na chini, kwa hiyo, pambizoni kidogo zaidi humaanisha kadirio sahihi zaidi.

Ninafanyaje tumaini liwe jembamba zaidi katika pindi fulani?

Ukikusanya sampuli kubwa zaidi, kwa kuwa upana wake hupungua kwa shina la mraba la n, au ukikubali kiwango cha chini cha uhakika.

Je, kiwango cha juu zaidi cha uhakika kinafanya kipindi hicho kiwe kikubwa zaidi?

Ndiyo. kudai uhakika zaidi hutumia thamani kubwa zaidi ya z*, kwa hiyo kipindi cha asilimia 99 ni kikubwa kuliko kipindi cha joto cha asilimia 95 kilichojengwa kutoka kwenye takwimu zilezile. Sikuzote kuna biashara kati ya uhakika na usahihi.

Kosa la kawaida ni nini?

Kosa la kawaida ni ule upotovu wa kawaida uliogawanywa na shina la mraba la sampuli (יהוה / Éton). Inapima kiasi cha sampuli hizo za sampuli na sampuli, na ni jengo lililojengwa kwa ukingo wa makosa.

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API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria

Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →

keyboard label

GET https://calculator.free/api/v1/confidence-interval/

curl

curl "https://calculator.free/api/v1/confidence-interval/?mean=100&sd=15&n=50&conf=1.96"

JavaScript fetch()

const r = await fetch(
  "https://calculator.free/api/v1/confidence-interval/?" + new URLSearchParams({
    "mean": "100",
    "sd": "15",
    "n": "50",
    "conf": "1.96"
  }));
const data = await r.json();
console.log(data.results);

Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.