12. Find the pattern when the squares of the Fibonacci numbers are added: a. Complete the table for the first six rows: The squares of Fibonacci Numbers Pattern Sum (F1)2 (Fi)2 + (Fa)2 = 12 = 1 = 1+1 = 2 = 1 x 2 = F2 x Fa = 1 =1x1 = F1 x F2 %3D = 12 + 12 (Fi)2 + (F2)² + (Fa)² = 12 + 12 + 22 = 1+1+4 = 6 = 2 x 2 =_x_ %3D =_=_x_ %3D Complete the blanks and the néxt three rows. Hint: look for two special numbers that multiply to get the sum. b. Explain the pattern of the answers in words. Hint: relate the two multiplied numbers to the numbers you just added. TIP: Look for a pattern that goes across (F1)2 + (F2)² Look for how these NOT how each old answer is related to the new answer. = 12 + 12 = 1+1 = 2 = 1 x 2 = F2 x F3 are related to these. %3D c. Use the pattern to predict the sum when 12 + 12 + 22 + 32 + 52 +.. + 2332 is added. Your answer should show that you know how to get the answer using the pattern, without having to actually add up all the numbers! Hint: which subscript does 233 have? Which subscript will the two numbers in your answer have? How do you know? Your answer: 12 + 12 + 22 + 32 + 52 + .. + 2332 = Your explanation: II

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The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.