Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 19

For all Hypothesis tests, please provide the following information:
(i) What is the level of significance State the null and alternate hypotheses.
(ii) Check Requirements What sampling distribution will you use What assumptions are you making What is the value of the sample test statistic
(iii) Find (or estimate) the P -value. Sketch the sampling distribution and show the area corresponding to the P -value.
(iv) Based on your answers in parts (i)-(iii), will you reject or fail to reject the null hypothesis Are the data statistically significant at level
(v) Interpret your conclusion in the context of the application.
Testing Paired Differences Phosphorus is a chemical that is found in many household cleaning products. Unfortunately, phosphorus also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorus reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorus reduction (mg/L) was reduced (Reference: EPA report 832-R-93-005).

Do these data indicate a difference (either way) in the average reduction of phosphorus between the two methods Use = 0.05