Skip to main content
Statistics LibreTexts

14: Hypothesis Test for a Population Mean Given Data

  • Page ID
    19744
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Hypothesis Test for a Population Mean With Data

    This calculator performs the hypothesis test for a population mean given statistics. Please report the error to Dr. Jessica Kuang at jkuangATvcccd.edu.

    To learn how to use this calculator, please watch a short video here (coming up).

     

    Input

    Type in the values from the data set separated by commas, for example, 2,4,5,8,11,2.  Then choose the left, right, or two-tailed test and the hypothesized mean.  Finally hit Calculate and the sample mean, then the test statistic and the p-value will be shown.

    Data:

    Choose the test

        \(\lt\)

        \(\gt\)

        \(\neq\)

    Hypothesized Population Mean (\(\mu_0\)):    

     

    Output

    Sample Mean (\(\bar{x}\)):  Standard Deviation (\(s\)):  p-value: 

    (Powered by Desmos)


    14: Hypothesis Test for a Population Mean Given Data is shared under a CC BY license and was authored, remixed, and/or curated by LibreTexts.

    • Was this article helpful?