A random sample of n = 36 scores is selected from a normal population with a mean of μ = 60. After a treatment is administered to the individuals in the sample, a researcher finds the sample mean is M = 52. Use α = .05 and show every step of hypothesis test. a. If the population standard deviation σ = 18, is the sample mean sufficient to conclude that the treatment has a significant effect? b. If the population standard deviation σ = 30, is the sample mean sufficient to conclude that the treatment has a significant effect? Just show step 3 & 4 c. Comparing your answers of parts a and b, explain how the magnitude of the standard deviation influences the outcome of a hypothesis test.
A random sample of n = 36 scores is selected from a normal population with a
a. If the population standard deviation σ = 18, is the sample mean sufficient to conclude that the treatment has a significant effect?
b. If the population standard deviation σ = 30, is the sample mean sufficient to conclude that the treatment has a significant effect? Just show step 3 & 4
c. Comparing your answers of parts a and b, explain how the magnitude of the standard deviation influences the outcome of a hypothesis test.
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