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A sample of n = 25 individuals is randomly selected from a population with a mean of µ = 65, and a treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 70.
a. If the sample standard deviation is s = 10, are the data sufficient to conclude that the treatment has significant effect using a two-tailed test with α = .05?
b. If the sample standard deviation is s = 20, are the data sufficient to conclude that the treatment has significant effect using a two-tailed test with α = .05?
Assuming that the process is operating correctly according to specifications, what is the probability that a sample will indicate that an adjustment is needed?
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