01 76 38 08 47
Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

  1. Home
  2. 12th grade
  3. Statistics & Probabilities
  4. Exercise : Find confidence intervals for population means and/or population proportion when the sample size, the standard deviation and the sample mean are given

Find confidence intervals for population means and/or population proportion when the sample size, the standard deviation and the sample mean are given Statistics & Probabilities

A sample has the following characteristics :

  • Size : n=64
  • Standard deviation : \sigma=2
  • Mean : \bar{x}=13

Find a confidence interval for the population mean with a confidence of 95%.

A sample has the following characteristics :

  • Size : n=100
  • Standard deviation : \sigma=18
  • Mean : \bar{x}=86

Find a confidence interval for the population mean with a confidence of 95%.

A sample has the following characteristics :

  • Size : n=625
  • Standard deviation : \sigma=50
  • Mean : \bar{x}=145

Find a confidence interval for the population mean with a confidence of 99%.

A sample has the following characteristics :

  • Size : n=289
  • Standard deviation : \sigma=68
  • Mean : \bar{x}=401

Find a confidence interval for the population mean with a confidence of 95%.

A sample has the following characteristics :

  • Size : n=324
  • Standard deviation : \sigma=18
  • Mean : \bar{x}=99

Find a confidence interval for the population mean with a confidence of 95%.

A sample has the following characteristics :

  • Size : n=81
  • Standard deviation : \sigma= 27
  • Mean : \bar{x}=55

Find a confidence interval for the population mean with a confidence of 90%.

A sample has the following characteristics :

  • Size : n=256
  • Standard deviation : \sigma=32
  • Mean : \bar{x}=75

Find a confidence interval for the population mean with a confidence of 99%.

See also
  • Course : Hypothesis testing and estimation
  • Exercise : Use the central limit theorem to find the probability that the sample mean is between two given real numbers
  • Exercise : Determine whether samples are biased or unbiased
  • Exercise : Determine the sample size needed for a level of confidence
  • Exercise : Identify whether an experiment is well constructed
  • support@kartable.com
  • Legal notice

© Kartable 2025