Question

Plot	Fertilizer A	Fertilizer B	Fertilizer C
1	563	588	575
2	593	624	593
3	542	576	564
4	649	672	653
5	565	583	556
6	587	612	590
7	595	617	607
8	429	446	423
9	500	515	483
10	610	641	626
11	524	547	523
12	559	586	568
13	546	582	551
14	503	530	502
15	550	573	567
16	492	518	495
17	497	529	513
18	619	643	626
19	473	497	479
20	533	556	540

g) Assuming population mean of crop yield is 570 bushels for all fertilizers with standard deviation of 40 bushels for all. Formulate a test hypothesis that crop yield by applying fertilizer C differs from the population crop yield for all fertilizers. Conduct the hypothesis test, conclude your analysis and explain your answer. Use both critical value and p-value approach with alpha=0.05

h) Calculate a 90% confidence interval estimate of the difference between the population mean yield of fertilizers B and A. Can we conclude at 0.05 level of significance, that the crop yield using fertilizer B is greater than the crop yield using fertilizer A? (hint: you can use the template in chapter 10 to calculate degrees of freedom and the standard error)

i) If we assume that observations are now plots of lands, can the scientist infer that there are differences between the three types of fertilizers?

* Only need help with question i)

Answer 1

Answer(i)