A researcher randomly selected a sample of n = 500 individuals from a population with µ = 120 and administered an experimental treatment to the sample. What the researcher should expect if the treatment has no significant effect?
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A researcher randomly selected a sample of n = 500 individuals from a population with µ = 120 and administered an experimental treatment to the sample. What the researcher should expect if the treatment has no significant effect?
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- Natalie conducted a study on the effects of triclosan on three algae populations. She collected an algae sample from three different ponds, counted the number of algae cells present in the sample, and then exposed them to a 5 ppm aqueous solution of triclosan and re-counted the number of algae cells in each sample. Using a paired t-test, she obtained a p-value of 0.083 when comparing the original algae population sizes to the population sizes after exposure to triclosan. Natalie concluded that triclosan is toxic to algae because her data for the three samples showed a trend toward a reduction in population size. What could Natalie do to show a statistically significant effect of triclosan on algae population size? Justify your response.A magazine claims that the brand of shoe you buy can have a major impact on how fast you run. A researcher decides to test this assertion and gathers a group of seven (N=7) runners and asks each of them to run a mile wearing each of the four different types of shoes (Nike, Adidas, Asics, and Brooks) and records how quickly the runners complete their miles wearing each type of shoe. Conduct a within subjects (AKA repeated measures) ANOVA, at alpha = 0.05, to see if the runners mile times are significantly different depending on the type of shoe they wear. Identify the correct values for dfbetween and dfwithin. A. dfbetween = 3 dfwithin = 18 B. dfbetween = 18 dfwithin = 3 C. dfbetween = 5 dfwithin = 6 D. dfbetween = 7 dfwithin = 7A magazine claims that the brand of shoe you buy can have a major impact on how fast you run. A researcher decides to test this assertion and gathers a group of seven (N=7) runners and asks each of them to run a mile wearing each of the four different types of shoes (Nike, Adidas, Asics, and Brooks) and records how quickly the runners complete their miles wearing each type of shoe. Conduct a within subjects (AKA repeated measures) ANOVA, at alpha = 0.05, to see if the runners mile times are significantly different depending on the type of shoe they wear. Identify the correct symbolic notation for the alternative hypothesis. A. HA: µ1 ≠ µ2 ≠ µ3 B. H0: µ1 = µ2 = µ3 = µ4 C. HA: µ1 ≠ µ2 ≠ µ3 ≠ µ4 D. H0: µ1 = µ2
