# Question: An agricultural scientist wants to determine how the type of

An agricultural scientist wants to determine how the type of fertilizer and the type of soil affect the yield of oranges in an orange grove. He has two types of fertilizer and three types of soil. For each of the six combinations of fertilizer and soil, the scientist plants four stands of trees, and measures the yield of oranges (in tons per acre) from each stand. The data are shown in the following table.

a. Can you reject the hypothesis of no interactions? Explain.

b. Can the main effect of fertilizer on the yield of oranges be interpreted? If so, interpret the main effect, using the a = 0.05 level of significance. If not, explain why not.

c. Can the main effect of soil on the yield of oranges be interpreted? If so, interpret the main effect, using the a = 0.05 level of significance. If not, explain why not.

a. Can you reject the hypothesis of no interactions? Explain.

b. Can the main effect of fertilizer on the yield of oranges be interpreted? If so, interpret the main effect, using the a = 0.05 level of significance. If not, explain why not.

c. Can the main effect of soil on the yield of oranges be interpreted? If so, interpret the main effect, using the a = 0.05 level of significance. If not, explain why not.

**View Solution:**## Answer to relevant Questions

We will consider a PM level of 17 or more to be high exposure, and a PM level of less than 17 to be low exposure. 1. How many people had high exposure to PM? 2. How many of the high-exposure people had wheeze symptoms? 3. ...Construct and interpret an interaction plot for the data in Exercise 0038. Explain why it is reasonable to use a larger level of significance for a test for interaction than for most other hypothesis tests. The owner of a restaurant believes that she serves the same number of customers on Mondays as on Tuesdays. For twelve weeks she counts the number of customers who come in on Monday and on Tuesday, with the following ...Can you conclude at the a = 0.05 level that the median number of species is greater for a retentions time of days than for a retention time of 3 days? Compute the appropriate test statistic, find the P- value and state a ...Post your question