A biologist was interested in determining whether sunflower seedlings treated with a particular pesticide resulted in a lower average height of sunflower seedlings than the standard height of 15.7Â cm. The biologist treated a random sample of n=33 seedlings with the extract and obtained the heights at right. She intends to perform a hypothesis test with a significance level of 0.05. 11.5 11.8 15.7 16.1 14.1 10.5 9.3 15.0 11.1
15.2 19.0 12.8 12.4 19.2 13.5 12.2 13.3 16.5 13.5 14.4 16.7 10.9 13.0 10.3 15.8 15.1 17.1 13.3 12.4 8.5 14.3 12.9 13.5 a) What are the null and alternative hypotheses, in plain English? b) What are the null and alternative hypotheses, in mathematical notation? c) What is the sample mean? d) What is the p-value? e) Do you reject the null hypothesis or fail to reject the null hypothesis? f) What does this mean in terms of the context of the problem?
