A chemist for a pharmaceutical company wants to determine whether the mean reaction time for a newly developed antacid is less than 12 minutes.
- Open the sample data, AntacidReactionTime.MTW.
- Choose .
- In Sample, enter Time.
- In Hypothesized mean, enter 12.
- Click Options.
- From Alternative hypothesis, select Mean < hypothesized value.
- Enter 1 in Base for random number generator.
Using Base for random number generator ensures that your results match the example.
- Click OK in each dialog box.
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.
Randomization Test for 1-Sample Mean: Time
Randomization Test Histogram for Time
Variable N Mean StDev Variance Sum Minimum Median Maximum
Time 16 11.331 3.115 9.702 181.300 7.700 10.050 16.000
Null hypothesis H₀: μ = 12
Alternative hypothesis H₁: μ < 12
Resamples Mean StDev P-Value
1000 11.9783 0.7625 0.199