When we discuss measures of center and spread, there are certain ones that go together, and certain ones that do not. If we talk about the center in terms of the mean, then spread is described using the [ Select ] If we talk about the center in terms of the median, then the spread is described using the [ Select ]
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- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.could you please help me with this, for this newlyn and Ardglass are subsets i extracted from a large amount of data could you please just provide the R commands for thisAt a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.32. After the student shoots 26 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cmcm, have a variance of 0.18. Does this evidence support the student’s claim that the gun’s sight is off? Use a 0.005 level of significance. Assume that the distances between the shots and the…
- I am having troble interpreting these two tables.How many main effects and interaction effects are possible in a 2 × 6 factorial design? No other details given. Statics and reacherce questionsHere is the data and scenario for the above questions: An ornithologist is studying the role of color in flower selection for a particular species of hummingbird. He places 3 lilac bushes with similar size, flower yield, and scent profile near a known hummingbird habitat--one with white flowers, one with pink flowers, and one with purple flowers. He then uses surveillance cameras to count hummingbird visits to each of the 3 bushes for 30 days. The daily visit count data for each lilac color bush is summarized below: White Pink Purple Mean: 17.2 17.8 18.5 S.Dev: 1.9 1.4 2.6 (Hint for calculations: What is n here, and why? What are the actual data sets corresponding to each mean?) What does the ornithologist conclude? Do you have a recommendation for further study?
- A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line belowIn a computer game, different units are created randomly with different levels of range and Aggression according to the table below. Range is how far the unit can attack without moving, and Aggression is used to determine how far a unit will move to attack without direct command. Range Total 1 2 4 5 0.2 0.15 0 0.35 Aggression 3 0.1 0.15 0.1 0.35 0 0 0.05 0.25 0.3 Total 0.3 0.35 0.35 1 The reach of a unit, Reach=aggression+range, is the distance the unit will attack. Determine expected value of reach (E(reach)=E(Aggression+Range))A neuroscientist is interested in testing the effects of environment on dendritic branching in the hippocampus (dendrites increase the receptivity of neurons and may be an important basis of cognition). To test this, he took one group of rats (n = 11) and housed them in an “enriched” environment (consisting of a large box with tunnels to run through, toys to play with, etc.) and then he took another group of rats (n = 11) and housed them in an “isolate” environment (rats were housed alone without any tunnels or toys). After 6 weeks, the number of dendritic spines in a particular region of the hippocampus from these rats was imaged and counted. The results are below. Did the different housing conditions have an effect on the number of dendrite branches? Solve using the steps in hypothesis testing. Enriched condition Isolate condition Mean number of dendrites 40 10 (Estimated) Standard Deviation 10 4 Question: Calculate the upper 95% confidence interval…
- A neuroscientist is interested in testing the effects of environment on dendritic branching in the hippocampus (dendrites increase the receptivity of neurons and may be an important basis of cognition). To test this, he took one group of rats (n = 11) and housed them in an “enriched” environment (consisting of a large box with tunnels to run through, toys to play with, etc.) and then he took another group of rats (n = 11) and housed them in an “isolate” environment (rats were housed alone without any tunnels or toys). After 6 weeks, the number of dendritic spines in a particular region of the hippocampus from these rats was imaged and counted. The results are below. Did the different housing conditions have an effect on the number of dendrite branches? Solve using the steps in hypothesis testing. Enriched condition Isolate condition Mean number of dendrites 40 10 (Estimated) Standard Deviation 10 4 Question: Calculate the T statistic9. A recent study claims that using music in a class enhances concentration and consequently helps students absorb more information. A researcher decided to test this claim on a smaller group of randomly selected students from three different classes. Each classroom was provided with a different environment for students to study. Classroom A had constant music being played in the background, classroom B had variable music being played and classroom C was a regular class with no music playing. After one month, the researcher conducted a test for all the three groups and ranked their scores. What statistical test would be most appropriate for testing the research hypothesis? Explain your answer.1. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The producion supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. Chi-square Contingency Table Test for Independence Col 1 Col 2 Col 3 Total Row 1 Observed 29 12 9 50 Expected 21.05 15.79 13.16 50.00 (O - E)² / E 3.00 0.91 1.31 5.22 Row 2 Observed 211 168 141 520…