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Find what is being asked in the given problems. 1. In a given normal distribution, the sample mean is 20.5 and the sample standard deviation is 5.4. Find the corresponding standard score of 18. 2. The average score in a Statistics and Probability Test is 83 with standard deviation 12. Find X, when z= 1? 3.A group of students in ABM compares their scores in their major subject for this semester. They find that the average score is 39 with the standard deviation of 6. Find the score when z – value is equal to 0.17. 4. The weight of adults in one Barangay of South Cotabato approaches to normal distribution with a mean of 52.9 kg and standard deviation of 7.2 kg. Find the z – value when the weight is 48.5 kg. 5. The weights of 10 – year – old girls are known to be normally distributed with a mean of 33 kg and a standard deviation of 4 kg. Find the z value of 10-year-old girls that weights 29 kg.

Find what is being asked in the given problems. 1. In a given normal distribution, the sample mean is 20.5 and the sample standard deviation is 5.4. Find the corresponding standard score of 18. 2. The average score in a Statistics and Probability Test is 83 with standard deviation 12. Find X, when z= 1? 3.A group of students in ABM compares their scores in their major subject for this semester. They find that the average score is 39 with the standard deviation of 6. Find the score when z – value is equal to 0.17. 4. The weight of adults in one Barangay of South Cotabato approaches to normal distribution with a mean of 52.9 kg and standard deviation of 7.2 kg. Find the z – value when the weight is 48.5 kg. 5. The weights of 10 – year – old girls are known to be normally distributed with a mean of 33 kg and a standard deviation of 4 kg. Find the z value of 10-year-old girls that weights 29 kg.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Example 1: Find the z-score value that corresponds to a Example 3: Compute for a raw score X for given the sample normal random variable X = 93 in the given mean u = 85 and mean x = 135, and sample standard deviation o = 30, and standard deviation o = 8 of a population in Statistics test. z= -2. Given: X = 93, µ = 85, = 8, find z Given: 7 = 135, o; = 30, z = -2, find X z = X = + z(0;) Thus, the z – score value X= 135 + (-2)(30) 93 – 85 that corresponds to a X= 135 + -60 8 normal random variable X= 75 93 is 1. z=-=1 Example 2: Given X = 20, F = 26 and o, = 4. Compute the Example 4: Find the raw score of standard score of z = 2.52 in a normally distributed population with mean 42 and corresponding z – score. standard deviation 3. Given: X = 20, = 26, o; = 4, Find z Given: µ= 42, o = 3, z = 2.52, find X X = µ+ z(6) The corresponding z - score is -1.5 to the left of X= 42 + (2.52) (3) the mean. X= 42 + 7.56 20 – 26 X= 49.56 4 -1.5
Transcribed Image Text:Example 1: Find the z-score value that corresponds to a Example 3: Compute for a raw score X for given the sample normal random variable X = 93 in the given mean u = 85 and mean x = 135, and sample standard deviation o = 30, and standard deviation o = 8 of a population in Statistics test. z= -2. Given: X = 93, µ = 85, = 8, find z Given: 7 = 135, o; = 30, z = -2, find X z = X = + z(0;) Thus, the z – score value X= 135 + (-2)(30) 93 – 85 that corresponds to a X= 135 + -60 8 normal random variable X= 75 93 is 1. z=-=1 Example 2: Given X = 20, F = 26 and o, = 4. Compute the Example 4: Find the raw score of standard score of z = 2.52 in a normally distributed population with mean 42 and corresponding z – score. standard deviation 3. Given: X = 20, = 26, o; = 4, Find z Given: µ= 42, o = 3, z = 2.52, find X X = µ+ z(6) The corresponding z - score is -1.5 to the left of X= 42 + (2.52) (3) the mean. X= 42 + 7.56 20 – 26 X= 49.56 4 -1.5
АСTIVITY Find what is being asked in the given problems. 1. In a given normal distribution, the sample mean is 20.5 and the sample standard deviation is 5.4. Find the corresponding standard score of 18. 2. The average score in a Statistics and Probability Test is 83 with standard deviation 12. Find X, when z= 1? 3.A group of students in ABM compares their scores in their major subject for this semester. They find that the average score is 39 with the standard deviation of 6. Find the score when z – value is equal to 0.17. 4. The weight of adults in one Barangay of South Cotabato approaches to normal distribution with a mean of 52.9 kg and standard deviation of 7.2 kg. Find the z – value when the weight is 48.5 kg. 5. The weights of 10 – year – old girls are known to be normally distributed with a mean of 33 kg and a standard deviation of 4 kg. Find the z value of 10-year-old girls that weights 29 kg.
Transcribed Image Text:АСTIVITY Find what is being asked in the given problems. 1. In a given normal distribution, the sample mean is 20.5 and the sample standard deviation is 5.4. Find the corresponding standard score of 18. 2. The average score in a Statistics and Probability Test is 83 with standard deviation 12. Find X, when z= 1? 3.A group of students in ABM compares their scores in their major subject for this semester. They find that the average score is 39 with the standard deviation of 6. Find the score when z – value is equal to 0.17. 4. The weight of adults in one Barangay of South Cotabato approaches to normal distribution with a mean of 52.9 kg and standard deviation of 7.2 kg. Find the z – value when the weight is 48.5 kg. 5. The weights of 10 – year – old girls are known to be normally distributed with a mean of 33 kg and a standard deviation of 4 kg. Find the z value of 10-year-old girls that weights 29 kg.
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