Question:

The personnel dept. of a certain industrial firm used 7 subjects

in a study to determine the relationship between job performance rating(y)

and scores of four tests. The data are as follows:

1 2 3 4 5

Y X1 X2 X3 X4

11.2 56.5 71 38.5 43

14.5 59.5 72.5 38.2 44.8

17.2 69.2 76 42.5 49

17.8 74.5 79.5 43.4 46.2

19.3 81.2 84 47.5 60.2

24.5 88 86.2 47.4 62

21.2 78.2 80.5 44.5 58.1

Evaluate each of the ff. items in 2 decimal places : All required values to compute each unknown are rounded in 3 decimal places.

The partial correlation r

15.34

The multiple correlation R

1.45

R1.45

The multiple correlation R

1.345

R1.345

A sample of size n is taken from a population with an unknown distribution, with mean // and standard deviation O. Which of the following statements about the sample mean distribution is true? Select one: a. Using the Central Limit Theorem, Xexactly followsX- Nu, n b. without Using the Central Limit Theorem, X approximately followsX - N H,- n O C. Using the Central Limit Theorem, X approximately followsX - Nu.- n O d. without Using the Central Limit Theorem, 02 Xexactly followsX - Nu,-Which of the following statements are TRUE regarding Central Limit Theorem? The range of values for the sampling distribution of means is larger than the range of values in the population. The central limit theorem only applies when the population distribution is normal. O The central limit theorem gives the exact probability of estimating the true population mean. The central limit theorem requires that all samples are randomly selected from a single population.A stationary distribution of an m-state Markov chain is a probability vector q such that = q P, where P is the probability transition matrix. A Markov chain can have more than one stationary distribution. Identify all the stationary distributions that you can, for the 3-state Markov chain with transition probability matrix O O P Owl Does this Markov chain have a steady-state probability distribution ? 15 pointsProbability 5. A 3-state Markov Chain has the following state diagram. 0.2 0.2 0.1 0.5 0.3 0.8 N 0.7 0.2 Write down the transition matrix P