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1. Given the normal distribution with a mean of 35 and a standard deviation of 6. Find the area: a. From 33 to 41 b. From 18 to 46 c. Above 20 d. Below 37 e. Above 30

1. Given the normal distribution with a mean of 35 and a standard deviation of 6. Find the area: a. From 33 to 41 b. From 18 to 46 c. Above 20 d. Below 37 e. Above 30

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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1. Given the normal distribution with a mean of 35 and a standard deviation of 6. Find the area: a. From 33 to 41 b. From 18 to 46 c. Above 20 d. Below 37 e. Above 30 2. Approximately, the normal distribution in an examination in statistics has a mean of 78 and a standard deviation of 4. Find: a. The lowest passing grade if the lowest grade is 25%; and b. The highest grade of the upper 5%; 3. A factory was able to produce an average 935 units per worker per day with standard deviation of 73 units. The factory decided to give incentive for those workers who will produce more than 35% units. What is the minimum number of units for a worker to qualify for the incentive program? 4. A company pays an average of Php 100.00 per hour with a standard deviation of Php 15.00. If the pay for the employees is more or less distributed normally, find the following: a. Percentage of workers receiving less than Php 95.00; b. Percentage of workers receiving above Php 132.00; c. Percentage of workers whose pay is between Php 68.00 to Php 140; d. If the number of workers is 750, how many workers receiving a pay between Php 85.00 to Php 115.00. 5. In general mathematics examination, students got an average of 82 and the standard deviation of 7. If there are 10 students who got the score between 78 to 86, and more or less the grade is normally distributed, how many students took the examination?
Transcribed Image Text:1. Given the normal distribution with a mean of 35 and a standard deviation of 6. Find the area: a. From 33 to 41 b. From 18 to 46 c. Above 20 d. Below 37 e. Above 30 2. Approximately, the normal distribution in an examination in statistics has a mean of 78 and a standard deviation of 4. Find: a. The lowest passing grade if the lowest grade is 25%; and b. The highest grade of the upper 5%; 3. A factory was able to produce an average 935 units per worker per day with standard deviation of 73 units. The factory decided to give incentive for those workers who will produce more than 35% units. What is the minimum number of units for a worker to qualify for the incentive program? 4. A company pays an average of Php 100.00 per hour with a standard deviation of Php 15.00. If the pay for the employees is more or less distributed normally, find the following: a. Percentage of workers receiving less than Php 95.00; b. Percentage of workers receiving above Php 132.00; c. Percentage of workers whose pay is between Php 68.00 to Php 140; d. If the number of workers is 750, how many workers receiving a pay between Php 85.00 to Php 115.00. 5. In general mathematics examination, students got an average of 82 and the standard deviation of 7. If there are 10 students who got the score between 78 to 86, and more or less the grade is normally distributed, how many students took the examination?
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