A research scientist working for a beer company wants to determine whether plant-based fertilizer, or manure-based fertilizer is most effective for growing barley. Twenty-two fields are selected for a within-subjects design experiment in which a plant-based fertilizer is used on the field for one year, and a manure-based fertilizer is used on the field for one year (counterbalanced order). At the end of each year the researcher records how many bushels of barley were produced in each field, and the type of fertilizer that was used. The researcher formulates null and alternative hypotheses using a Type I error rate of a = .05 (two-tailed), and reports the following descriptive statistics for the data: H0: \"plant ' \"manure = \"difference = 0 Tgi 3.068872 D . H1: \"plant ' \"manure = \"difference 3 0 $50 = 1054 73 a = .05 (two-tailed) N = 22 - Follow the steps below to test the null and alternative hypotheses with a ttest. a. Determine dfmml and tcrirical (2 points) b. Calculate 3,3 and tabserved (4 points) c. Based on your calculations, what decision should be made about the null and alternative hypotheses, and why? (2 point) d. Calculate and interpret a measure of effect size for the data to 3 decimal places. (2 points) e. If in reality the there is an effect in the population (i.e., the null hypothesis is false), will the researcher make a correct decision, Type I error, or Type II error? (1 point)