1.The pathogen Phytophthora capsici causes bell peppers to wilt and die. Because bell peppers are an important commercial crop, this disease has undergone a great deal of agricultural research. It is thought that too much water aids the spread of the pathogen. Two fields are under study. The first step in the research project is to compare the mean soil water content for the two fields. Units are percent water by volume of soil.

Field A samples, x1: 10.2 10.5 15.3 10.6 9.7 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, X2: 8.3 8.5 8.4 7.3 8.2 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 (i) Use a calculator to calculate X1, $1, X2, and $2. (Round your answers to four decimal places.) X1 = X 7 5 7 (ii) Assuming the distribution of soil water content in each field is mound-shaped and symmetric, use a 5% level of significance to test the claim that field A has, on average, a higher soil water content than field B. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H1 = H2i H1: M1* H2 O Ho: H1 = 12; H1: H1 > Hz O Ho: M1 > H2; H1: H1 = Hz O Ho: H1 = H2i H1: M1 = Hz (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference , - #2. Do not use rounded values. Round your final answer to three decimal places.)(c) Find (or estimate) the P-value. O P-value :5 0.250 O 0.125