Stats Test 1 Practice Paper PDF

Question #1 Types: Problem 1: You are tasked with conducting an experiment to determine if either of two fertilizer types improve growth of tomato or potato plants. You have access to as many of each kind of plant as needed, but have limited room for planting. You have access to three different pl...

Question #1 Types: Problem 1: You are tasked with conducting an experiment to determine if either of two fertilizer types improve growth of tomato or potato plants. You have access to as many of each kind of plant as needed, but have limited room for planting. You have access to three different plots, one which can fit 20 plants, one which can fit 30 plants, and one which can fit 50 plants. The former two are outdoors, with the latter plot being inside a climate controlled greenhouse. At the last minute, you are pulled off of the experiment and asked to let your staff take care of conducting the experiment. Please provide a detailed description of the experimental design that your staff could use to conduct the experiment. Consider very carefully the construction of your experiment. Detail all variables that you would like your staff to record, and detail how they can use those variables to assess whether either of the two fertilizers is improving the plant yields/growth of either plant type. Problem 2: Investigating Two Herbicide Types on Cabbage and Broccoli Growth You are tasked with determining whether two different herbicide types (Herbicide X and Herbicide Y) affect the growth of cabbage and broccoli plants. You have access to an unlimited supply of seeds but are limited to three plots: one that can accommodate 20 plants, another for 30 plants, and a third, climate-controlled greenhouse plot for 50 plants. You must create an experimental design for your staff to follow, detailing how they should conduct the experiment, what variables to record, and how to assess the effectiveness of each herbicide on the growth of the plants. Variable recorded: - Cabbage plant seed - Broccoli plant seed - Plot 1 ( outdoor 20 plants) - Plot 2: (outdoor 20 plants) - Plot 3: 50 climate controlled plants - Herbicide type X and Y Problem 3: Assessing Two Light Conditions on Basil and Parsley Growth You need to evaluate whether two different light conditions (Full Sunlight and Partial Shade) impact the growth of basil and parsley plants. You have unlimited seeds for both herbs, but your planting space is restricted to three plots: one that fits 20 plants, one for 30 plants, and a larger greenhouse plot that can accommodate 50 plants. Design an experiment for your staff that includes the structure of the experiment, the variables they should measure, and how they can analyze the data to determine the impact of light conditions on plant growth. Problem 4: Evaluating Two Plant Spacing Strategies on Carrot and Beet Growth You are assigned to find out if two different plant spacing strategies (Close Spacing and Wide Spacing) affect the growth of carrot and beet plants. You can use as many seeds as needed but can only plant in three available plots: one for 20 plants, one for 30 plants, and a third that can hold 50 plants in a greenhouse. Prepare an experimental design for your staff that outlines how to conduct the experiment, the key variables to track, and the methods for analyzing the results to see if spacing impacts growth and yield for both types of plants. Question type #2: Problem #1: You are working as part of an ornithology lab (studying birds), and are interested in monitoring the growth of sparrows, from chick to adult. Your team has discovered a number of nests of eggs that could be monitored. In total there are about 400 eggs. They are divided into 120 total nests, with around 3-4 eggs each. The majority, a total of 83 of the nests, belong to House Sparrows. 34 of the nests are Chipping Sparrow nests, while the remaining 3 nests belong to Eurasian Tree Sparrows. For the purposes of monitoring, your team has access to dyes that can be used to mark the eggs, and leg tags that can be attached to chicks without causing them any harm. You only have funds and resources to monitor a total of approximately 50 chicks, rather than all 400 as you’d prefer. The principal investigator (PI) asks you to detail at least 3 sampling methods, with the following guidelines. 1. Design a sampling method that makes each possible sample equally likely. What benefits and downsides does such a sampling scheme provide? 2. Design a sampling method that simplifies the process of data collection in some way. What benefits and downsides does such a sampling scheme provide? 3. Design a sampling method that ensures that each species of sparrow is represented in the data. What benefits and downsides does such a sampling scheme provide? 4. Propose at least one other method of sampling that could be implemented. What benefits and downsides does such a sampling scheme provide Problem 2: Studying Butterfly Species in a Meadow You are part of an entomology lab studying the growth and population dynamics of butterfly species in a local meadow. The meadow is home to approximately 2,000 butterflies, which consist of 500 Monarch Butterflies, 1,200 Painted Lady Butterflies, and 300 Swallowtail Butterflies. Due to resource limitations, you can only monitor around 100 butterflies. Your supervisor asks you to detail at least 3 sampling methods, with the following guidelines: 1. Design a sampling method that makes each butterfly equally likely to be selected. Discuss the benefits and downsides of this method. 2. Design a sampling method that simplifies the data collection process. Discuss the benefits and downsides of this method. 3. Design a sampling method that ensures that each butterfly species is represented in the sample. Discuss the benefits and downsides of this method. 4. Propose at least one other method of sampling that could be implemented. Discuss the benefits and downsides of this method. Problem 3: Monitoring Tree Growth in a Forest You are working in a forestry research team studying the growth rates of different tree species in a large forest. The forest contains approximately 5,000 trees, including 2,000 Oak trees, 1,500 Maple trees, and 1,500 Pine trees. Due to budget constraints, you can only measure the growth of 200 trees. Your project manager asks you to outline at least 3 sampling methods, with the following guidelines: 1. Design a sampling method that gives each tree an equal chance of being selected. Discuss the benefits and downsides of this method. 2. Design a sampling method that streamlines the measurement process. Discuss the benefits and downsides of this method. 3. Design a sampling method that guarantees representation of all three tree species in your sample. Discuss the benefits and downsides of this method. 4. Propose at least one alternative sampling method that could be employed. Discuss the benefits and downsides of this method. Problem 4: Assessing Fish Populations in a River You are part of an aquatic biology team investigating fish populations in a river ecosystem. The river is estimated to have around 10,000 fish, including 4,000 Rainbow Trout, 5,000 Bass, and 1,000 Catfish. Due to equipment limitations, you can only sample about 150 fish. Your team leader asks you to describe at least 3 sampling methods, with the following guidelines: 1. Design a sampling method that ensures each fish has an equal probability of being captured. Discuss the benefits and downsides of this method. 2. Design a sampling method that simplifies the capture process. Discuss the benefits and downsides of this method. 3. Design a sampling method that ensures all three fish species are represented in the sample. Discuss the benefits and downsides of this method. 4. Propose at least one additional sampling method that could be utilized. Discuss the benefits and downsides of this method. Question style 3: For 3 out of the 4 following descriptions of data and goals for graphical displays: Sketch a rough graphical display of how you might present the data. You are not expected to construct a graphical display that contains actual data, but to mock up what a graphical display might look like. Sketches should be complete with axis labels, and appropriate legends, that someone with the actual data could use to construct a graphical display meeting the requirements. Explain how the graphical display conveys the necessary information, and how it highlights the particular aspects the researcher are interested in. 1. Researchers conduct a study of individuals with mental health issues, recording for each individual the type of metal health issue(s) they are facing, as well as their race or ethnicity. They specifically want a graphical display that will allow for ease of comparison of how common different mental health issues are for different races/ethnicities. 2. Researchers measure the water level of a local river, and are interested in tracking how it changes over the span of many decades. They specifically want a graphical display that shows how the water level reacts to known historical droughts and floods, which they know the dates of from weather records. 3. A chemistry professor teaching a very large lecture is concerned that grade distributions in labs are too dependent on the TA doing the grading. They specifically want to see how grades compare based on the TA grading the assignments, to determine if there are differences in grading trends among the TAs. 4. Researchers looking at decades of vehicle collision data from insurance companies are interested in showing how the causes of collisions have changed over time, while also highlighting the total number of collisions over time. They are specifically interested in being able to highlight how new types of causes, such as ’texting and driving’ or ’self-driving vehicle error’ grow over time More Pracice Question type 1: Problem Statement: You are tasked with conducting an experiment to determine if two different watering schedules affect the growth of bean plants. You have access to both types of bean seeds and can use as many as necessary, however, you have limited planting space. You have available three different plots: one that can hold 25 plants, one that can hold 40 plants, and one that can hold 60 plants. The first two plots are outdoors, while the third plot is in a controlled indoor environment with specific lighting and temperature settings. At the last minute, you are pulled off the experiment and asked to instruct your staff on how to conduct this experiment effectively. Please provide a detailed description of the experimental design, including how to group the plants, what variables to record, and how to analyze the results to determine the effect of the watering schedules on plant growth. How to conduct the experiment: - We can experiments by randomly selecting from each group into different experimental groups. Ones that would get watered regularly and ones who don’t to see the difference. Variables included: - Water schedules - Been plants - Been seeds - Plot one: out doors 25 plants - Plot two : outdoors 50 plants - Plot three : controlled indoor environments 60 plants - Temperature setting - Lighting setting How to group the plants: how would i sample it? - Analyzing the results: