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Under what circumstances a 6 - point treatment effect can be very large, and in some circumstances it can be very small. Assume a sample of n = 16 individuals is selected from a population with a mean of µ = 70. A treatment is administered to the sample and, after treatment, the sample mean is found to be M = 76. Notice that the treatment appears to have increased scores by an average of 6 points.
a) If the population standard deviation is σ = 20 is the 6 point effect large enough to be statistically significant? Use the two - tailed test with α = .05
b) If the population standard deviation is σ = 8 is the 6-point effect large enough to be statistically significant? Use the two - tailed effect with α = .05
Using Binomial approximation, find the proportion of the days that will be rejected.
Explain the logic of what you have done, writing as if you are speaking to someone who has never heard of correlation (but who does understand the mean, deviation scores, and hypothesis testing);
Women's heights are normally distributed with mean 63.6 and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 70 in tall.
Test the hypothesis that the annual incomes of Teachers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.
From a random sample we know that the average duration of unemployment in a low developed region A is 147 days (with standard deviation sA = 32 days and nA = 230 unemployed).
Find the product of the vector of state probabilities for the preceding period and the matrix of transition probabilities.
A business owner decides to use a binomial distribution to solve one of his problems.
History suggests that the average number of hurricanes formed during a year is 6.0 hurricanes. Find the probability of at most three hurricanes being formed during a randomly selected year.
Does the variability in output appear to differ at the two experience levels? Test the hypotheses at the .05 significance level.
Should the finite-population correction factor be used? Why or why not?
what is the probability that a randomly selected value from the distribution will be greater than 2.1 standard deviations avoe the mean?
If there is one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?
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