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1. A normal distribution has a mean m = 58 with s= 2. What is the probability of selecting an individual with: a. A score greater than 60? b. A score less than 55? c. A score less than 65? d. A score between 52 and 65?

1. A normal distribution has a mean m = 58 with s= 2. What is the probability of selecting an individual with: a. A score greater than 60? b. A score less than 55? c. A score less than 65? d. A score between 52 and 65?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Know terms for all chapters. 1. A normal distribution has a mean m = 58 with s= 2. What is the probability of selecting an individual with: a. A score greater than 60? b. A score less than 55? c. A score less than 65? d. A score between 52 and 65? 2. Each of the following samples was obtained from a population with m = 45 and s=5. Find the z-score corresponding to each sample mean. a. M = 52 for a sample of n = 4 b. M = 40 for a sample of n = 9 c. M = 31 for a sample of n = 36 d. M = 60 for a sample of n = 25 3. Find the z score associated with each of the following regions: a. top 40% of the distribution b. middle 50% of the distribution c. bottom 20% of the distribution d. top 60% of the distribution 4. A population of scores with m = 50 and s = 10 is standardized to create a new population with m = 27 and s=4. What is the new value for each of the following scores from the original population? Original score X = 20 X = 48 X = 53 X = 60 Z-score 5. In a population with m = 65 and s = 6, Fred is 1 ½ standard deviations above the mean, John's z-score = +2.0, and Frances' score is 90. Who scored the highest? AA 6. A normal distribution has a m = 30 and s=5. Find the scores associated with the following regions: a. the score needed to be in the top 40% of the distribution New Value moodle.nsula.edu ₁
Transcribed Image Text:Know terms for all chapters. 1. A normal distribution has a mean m = 58 with s= 2. What is the probability of selecting an individual with: a. A score greater than 60? b. A score less than 55? c. A score less than 65? d. A score between 52 and 65? 2. Each of the following samples was obtained from a population with m = 45 and s=5. Find the z-score corresponding to each sample mean. a. M = 52 for a sample of n = 4 b. M = 40 for a sample of n = 9 c. M = 31 for a sample of n = 36 d. M = 60 for a sample of n = 25 3. Find the z score associated with each of the following regions: a. top 40% of the distribution b. middle 50% of the distribution c. bottom 20% of the distribution d. top 60% of the distribution 4. A population of scores with m = 50 and s = 10 is standardized to create a new population with m = 27 and s=4. What is the new value for each of the following scores from the original population? Original score X = 20 X = 48 X = 53 X = 60 Z-score 5. In a population with m = 65 and s = 6, Fred is 1 ½ standard deviations above the mean, John's z-score = +2.0, and Frances' score is 90. Who scored the highest? AA 6. A normal distribution has a m = 30 and s=5. Find the scores associated with the following regions: a. the score needed to be in the top 40% of the distribution New Value moodle.nsula.edu ₁
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