Question

A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less tharn 7.0. What conclusion is appropriate in each of the following situations? (a) n-7, t-_2.8, α-0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 (b) n-19, t3.1, a-0.01 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 (c) n-18, t-1.2, a-0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 (d) n = 5, t = 0.9, α = 0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0 We would fail to reject the null hypothesis for any significance level at or above 0.994 We would fail to reject the null hypothesis for any significancelevel at or below 0.994 We would reject the null hypothesis for any significance level at or below 0.006. We would reject the null hypothesis for any significance level at or above 0.006

Answer 1

Giuen tta nall hyrotheis otherwite we fail to hall hypo theis There suffi cierN- Haat tha trua auer age PH s le than 7.o o-cl , l & ーー2.ss Conclusion)_ Rei ect tas null-hypothellt There te su fficteat euidence thet tt Canclusion-Do nat reject tho null There is nat sufficteat era 9s

There ic net sufficient euidence tha t s auemigePHis less than 2o