1:57 Elocal_media1163563...e. z= 3.0UB. Direction: Read and analyze each item carefully. Choose the letter of the best answer.Write the chosen letter on a separate sheet of paper.1. The total area under the normal curve isА. -12. The normal curve is bell-shaped.A. False3. Which part of the normal curve is extended indefinitely in both directions along thehorizontal axis, approaching but never touching it?В. ОC. 0.5D. 1B. TrueC. Sometimes D. It dependsA. centerВ. tailC. topD. spread4. According to the property of a Normal Probability Distribution, the mean is equal towhat measures of central tendency?A. medianB. modeC. both A and BD. only A5. Which of the following rules state that almost all data fall within the 1, 2, and 3Standard Deviation of the Mean when the population is normally distributed?A. Empirical ruleB. Lottery ruleC. Pascal's triangle ruleD. Sampling ruleLESSON 2:UNDERSTANDING THE Z-SCOREWe discuss the z-score briefly in the previous lesson. It is stated to be measure ofrelative standing. These score represent distance from the center measure in standarddeviation units. There are six Z-score at the base line of the normal curve: three z score theleft of the mean and three z score to the right of the mean. You will learn more about it in thislesson.The z -scoreThe area under the normal curve are given in terms of z-values or scores. Either the z-score locates X within sample or within a population.The formula for calculating z is:X-uz =(z-score for population data)X-Xz =(z-score for sample data)Where:X = given measurementµ= population meano = population standard deviationX= sample means= sample standard deviation6 of 17 611:57 EB/slocal_media1163563..The Four -Steps Process in Finding the Areas Under the Normal Curve Given a z-ValueStep1. Express the given z-value into three-digit form.Step 2. Using the z-table, find the first wo digit on the left column.Step 3. Match the third digit with the appropriate column on the right.Step 4. Read the area (or probability) at the intersection of the row and the column. This isthe require area.Example:1. Find the area that corresponds to z = 1.Finding the area that corresponds to is the same as finding the area between z = 0 and z = 1.StepsSolution1. Express the given into a three-digit form.2. In the table, find the Row z = 1.003. In the table, find the column with the heading .00.4. Read the area (or probability) at the intersection ofRow 1.0 and the Column .00.Z = 1.00This area is 0,3414. This isthe required area.2. Find the area that corresponds to z = 1.36StepsSolution1. Express the given into a three-digit form.2. In the table, find the Row z = 1.33. In the table, find the column with the heading .06.4. Read the area (or probability) at the intersection ofz = 1.36 (as is)This area is 0.4131. This isRow 1.3 and the Column .06.the required area.3. Find the area that corresponds to z = -2.58In the z-Table, the area that corresponds to z = -2.58 is the same as the area that correspond toz = 2.58.StepsSolution1. Express the given into a three-digit form.2. In the table, find the Row z = 2.53. In the table, find the column with the heading .08.4. Read the area (or probability) at the intersection ofz = 2.58 (as is)This area is 0.4951. This isthe required area.Row 2.5 and the Column .08.АСTIVITY 1.A. Find the corresponding area between z = 0 and each of the following:a. z= 0.96b. z= 1.74c. z= 2.18d. z= 2.69e. z= 3.005 of 17||

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Answered: ACTIVITY 1. A. Find the corresponding…

ACTIVITY 1. A. Find the corresponding area between z = 0 and each of the following: a. z = 0.96 b. z= 1.74 c. z= 2.18 d. z= 2.69 e. z= 3.00

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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