Is there any research into error rates on websites?

Will you please help a poor girl who is teaching herself AP Statistics?

• Bioremediation A very interesting area of research being done at a large university is in bioremediation - the use of living organisms to clean up pollution. In a recently done experiment, researchers used filamentous fungi to degrade polycyclic aromatic hydrocarbons - the byproducts of incomplete combustion of fossil fuels. These are mutagenic and carcinogenic and their accumulation in water and soil poses an environmental hazard. In order to be cost effective, a minimum of 1.00 μmoles/min/g of soil of a pyrenequinones must be degraded. The researchers added fungi and growth media (essentially sugar) to the soil and in 9 replicates obtained the following degradation rates μmoles/min/g: 1.00 1.93 0.83 0.91 1.08 1.09 1.10 1.88 1.36 Some selected output from JMP appears below (some values are hidden): Moments Mean 1.242222 Std Dev 0.403478 Std Error Mean 0.134494 1. What is the value of point estimate of the degradation rate in the presence of fungi and what is its estimated standard error. Interpret the estimated standard error. (4 points) 2. Compute a 95% confidence interval. Interpret this interval. (4 points) 3. Based upon the confidence interval, does it appear that the fungi have increased the rate of degradation? Be sure to explain the basis of your decision. (2 points) 4. Perform a formal statistical test, α = 0.05. What are the null and alternative hypotheses in both symbols and words? (4 points) 5. Calculate the appropriate test statistic. (4 points) 6. What is the appropriate p-value? Interpret this p-value, i.e. it refers to what probability? (4 points) 7. What decision would you make? Be sure to express your decision in terms of the original problem, e.g. it would not be sufficient to simply say something about rejecting the hypothesis without expressing it in terms of the degradation rate. (2 points) 8. What would be a potential Type II error in this problem? In general, how can researchers decrease the Type II error rates? (4 points)

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