Example of Randomization Test for 1-Sample Mean

A chemist for a pharmaceutical company wants to determine whether the mean reaction time for a newly developed antacid is less than 12 minutes.

  1. Open the sample data, AntacidReactionTime.MTW.
  2. Open the randomization test for 1-sample mean dialog box.
    • Mac: Statistics > Resampling > Randomization Test for 1-Sample Mean
    • PC: STATISTICS > Resampling > Randomization Tests > 1-Sample Mean
  3. In Sample, enter Time.
  4. In Hypothesized mean, enter 12.
  5. Select Options.
  6. From Alternative hypothesis, select Mean < hypothesized value.
  7. Enter 1 in Base for random number generator.
    Note

    Using Base for random number generator ensures that your results match the example.

  8. Click OK.

Interpret the results

The alternative hypothesis states that the mean reaction time is less than 12 minutes. Because the p-value is 0.203, which is greater than the significance level of 0.05, the chemist fails to reject the null hypothesis and cannot conclude that the mean reaction time is less than 12 minutes. The histogram shows that the bootstrap distribution appears to be normal, so the chemist can trust the results.

Observed Sample
Variable
N
Mean
StDev
Variance
Sum
Minimum
Median
Maximum
Randomization Test
Number of Resamples
Mean
StDev
P-Value
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