TutoringLab – Statistics: Hypothesis Testing

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A sample of size of n=43 has a mean of x̄=1.065116 and a standard deviatoin of s=0.706056713560371. Given a population mean of μ=1.072177, does the sample provide sufficient evidence that the actual population mean is not equal to 1.072177 at a 95% level of confidence?

New Example

  1. State the null hypothesis H0 and alternative hypothesis Ha.
  2. Determine the significance level (α) and appropriate distribution to use.
  3. Calculate the test statistic.
  4. Determine whether to reject or fail to reject the null hypothesis H0.
  5. State the conclusion.

Solution


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