A pharmaceutical company is testing a new pain relief drug. They recruit 20 patients with chronic pain and measure their pain levels on a scale of 1 to 10 before taking the drug. The patients then take the drug for one week, and their pain levels are measured again. The company wants to determine if the drug significantly reduces pain levels. What statistical test should be used to analyze the data?

Part 2 Question 1 Data: RunTime Statistics students collected data on baseball player run-times. Players (outfielders, infielders, catchers) were required to run 50 meters and were timed in seconds. Test the hypothesis that different positions have different mean run-times using a significance level of α=0.05. Players from which position(s) run the 50 meters fastest?  The means are provided:The NPP of the residuals is provided:Levene’s Test output is provided:

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Part 2 Question 4Decide which statistical procedure/test will be used to answer this question. Explain in one sentence how you came to your decision. A school district wants to determine if students’ math test scores have improved over the past 10 years. They collect a random sample of 50 students who took a standardized math test in 2014 and another random sample of 50 students who took the same test in 2024. At a 5% significance level, is there enough evidence to conclude that the mean math test scores have significantly increased over the past decade?

What will happen if the malachite green is omitted in an endospore stain?

What will happen if the safranin is omitted in an endospore stain?

Endospores are metabolically active, whereas a vegetative cell is metabolically inactive

B. Verdadeiro ou Falso? Mark V (verdadeiro) or F (falso) based on the text: 1. Todos os estudantes moram longe da família. [1] 2. Criar um cronograma pode ajudar a organizar o tempo. [2] 3. A universidade não tem serviços de apoio acadêmico. [3] 4. Caminhar e praticar esportes ajudam a reduzir o estresse. [4]

A. Comparações. Based on what you learned about São Paulo and Rio de Janeiro, answer the questions below in Portuguese or English. (2 pts. each; 4 pts. total)

1. In your opinion, what city in the United States is the most similar to São Paulo? Why?