Problem 1 Based on satellite images, a forest area in the Amazon basin is divided into 14 types. Foresters studied the four most commercially valuable types: alluvial climax forests of quality levels 1, 2, and 3, and mature secondary forests. They divided the area of each type into large parcels, chose parcels of each type at random, and counted tree species in a 20- by 25-meter rectangle randomly placed within each parcel selected. Here is some detail: (Modified from Textbook 8.41) Forest Type Total Parcels |Sample Size Climax 1 36 4 Climax 2 72 Climax 3 31 AW - Secondary 42 (a) What is the sampling scheme of this study? And why should we use it? (b) Choose the stratified sample for the secondary forest type. Be sure to explain how you assigned labels to parcels. If you use Table B. start at line 112. Line 112: 59636 88804 04634 71197 19352 73089 84898 45785 (c) If the study does NOT care about the commercial valuability of the forest, what would be the sampling scheme that the researcher may have possibly adopted? Problem 2: Here is a two way table describing customer feedback based on food quality and service speed. Customer Feedback Two-Way Table: Food Quality va. Service Speed Very Fast Fast Moderate Slow Excellent 45 30 15 Good 35 40 25 10 Fair 20 15 15 10 (a) What is the marginal distributions of (Food Quality) and (Service Speed)7 (b) What is the conditional distribution of {Food Quality) given that the (Service Speed) is "very fast"?Astep 6.28 Animal Testing. \"It is right to use animals for medical testing if it might save human lives.\" The General Social Survey asked 1152 adults to react to this statement. Here is the two-way alli ANTEST table of their responses: | Response Male Female Strongly agree 76 59 Agree | 270 247 Neither agree nor disagree | 87 139 Disagree | 61 123 Strongly disagree 22 68 How do the distributions of opinion differ between men and women? 8.28 Race Relations. A 2018 Gallup poll showed that most Black Americans rate race relations with White people as bad. The poll is based on telephone interviews conducted November 19- December 22, 2018, with a random sample of 6502 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia. Landlines and cell phones were selected using random digit dialing.** a. The survey wants the opinion of an individual adult, but a landline phone reaches a household in which several adults may live. In that case, the survey interviewed the adult with the most recent birthday. Why is this preferable to simply interviewing the person who answers the phone? b. What is the population that this survey wants to describe? Why do you think it is important to include both landline and cell phones in your sample