Your microbrewery is not producing beer quickly enough. You have been conducting an experiment on the relative growth rate of the two yeast types by measuring the turbidity, using absorbance units, of the growth medium. You obtained the following two data sets.
a. Yeast 1: 0.156 units, 0.187 units, 0.112 units - mean = 0.151667 SD = 0.03768
b. Yeast 2: 0.112 units, 0.101 units, 0.110 units -mean= 0.107667 SD= 0.005859
p-value = 0.11636
Question: What would your recommendation be to the Master Brewer? remember that a higher absorbance indicates a faster or greater growth rate.
What
To make a recommendation to the Master Brewer based on the given data, we need to compare the growth rates of Yeast 1 and Yeast 2.
First, let's compare the means of the two yeast types:
- The mean absorbance of Yeast 1 is 0.151667 units.
- The mean absorbance of Yeast 2 is 0.107667 units.
Based on the given information that a higher absorbance indicates a faster or greater growth rate, we can conclude that Yeast 1 has a higher growth rate than Yeast 2.
Next, let's consider the variability of the data by looking at the standard deviations (SD) of the two yeast types:
- The standard deviation of Yeast 1 is 0.03768 units.
- The standard deviation of Yeast 2 is 0.005859 units.
The larger the standard deviation, the more spread out the data points are, indicating greater variability. In this case, Yeast 1 has a larger standard deviation than Yeast 2, suggesting that its growth rate may vary more from one measurement to another compared to Yeast 2.
Lastly, let's consider the p-value, which measures the strength of evidence against the null hypothesis (i.e., there is no difference in growth rates between the two yeast types). The given p-value of 0.11636 suggests that there is not strong evidence to reject the null hypothesis.
Based on these findings, my recommendation to the Master Brewer would be to continue using Yeast 1 for beer production as it has a higher mean growth rate compared to Yeast 2. However, it is important to monitor the variability of Yeast 1's growth rate as indicated by its larger standard deviation. If the variability becomes problematic, it may be worth investigating ways to reduce it or consider alternative yeast types.