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In: Statistics and Probability

1.:The following sample was obtained from a population with μ = 80 and σ = 12....

1.:The following sample was obtained from a population with μ = 80 and σ = 12. Find the z-score corresponding to the sample mean. M = 84 for a sample of n = 36; 2. For a normal population with μ = 70 and σ = 12, find the following. (a) What is the probability of obtaining a sample mean greater than 73 for a sample of n = 36 scores? (b) What is the probability of obtaining a sample mean greater than 73 for a sample of n = 9 scores?; 3. The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z = −1.90, then what is the correct statistical decision? fail to reject H1 reject H0 fail to reject H0 reject H1; 4. For the following set of scores: X - 0, 1, 2, 3, 4 Y- 16, 6, 9, 0, 9  (a) Compute the Pearson correlation. r = (b) Find the regression equation for predicting Y from X. Y = X +

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