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Find the p and q given the following : 1. X=8; n=100 2. X=123 ; n=1200 3. X=797; n=5000

Find the p and q given the following : 1. X=8; n=100 2. X=123 ; n=1200 3. X=797; n=5000

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Find the p and q given the following :

1. X=8; n=100

2. X=123 ; n=1200

3. X=797; n=5000

ACTIVITY 1: Practice 1 Direction: Solve the following problems and write your solutions on a separate sheet of paper. 1. A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6. a.) Find the 95% confidence interval of the mean score for all bowlers. b.) Find the 95% confidence interval of the mean score of a sample of 100 bowlers instead of a sample of 40. 2. Compute the 95% confidence interval estimate of u given the following: s = 9, n = 12, and = 27, t o.02 = 2.201 %3D 3. A printer manufacturer wants to estimate the pages-per- cartridge print rate of their new printer model. A random sample of 10 units of the new printer model showed a mean of 1400 pages-percartridge with a standard deviation of 20. Construct a 98% confidence interval to estimate the pages-per- cartridge rate of their new printer model. Given: s = 20, = 1400, and n = 10. df = 9, and a = 2% or Using the t-table: t o.02 = 2.821 0.02 %3D
Transcribed Image Text:ACTIVITY 1: Practice 1 Direction: Solve the following problems and write your solutions on a separate sheet of paper. 1. A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6. a.) Find the 95% confidence interval of the mean score for all bowlers. b.) Find the 95% confidence interval of the mean score of a sample of 100 bowlers instead of a sample of 40. 2. Compute the 95% confidence interval estimate of u given the following: s = 9, n = 12, and = 27, t o.02 = 2.201 %3D 3. A printer manufacturer wants to estimate the pages-per- cartridge print rate of their new printer model. A random sample of 10 units of the new printer model showed a mean of 1400 pages-percartridge with a standard deviation of 20. Construct a 98% confidence interval to estimate the pages-per- cartridge rate of their new printer model. Given: s = 20, = 1400, and n = 10. df = 9, and a = 2% or Using the t-table: t o.02 = 2.821 0.02 %3D
ng ACTIVITY 3 (QUIZ) Write the letter of the correct answer on a separate sheet of paper. 1. What are the confidence coefficients of za, if the confidence level is 2 90% a. ± 1.65 b. ± 1.96 C. 2.58 d. + 2.64 2. Which is more appropriate distribution for the interval estimation if the sample size is greater than or equal to 30? a. f-distribution b. t-distribution c. z-distribution d. normal curve 3. What is the width of the confidence interval if the sample size is increasing? a. increasing b. decreasing C. constant d. undefined 4. What is the margin of error if n=16, s = 4.2 , x= 50, 95% confidence ( ta= 2.131 ) 2 a. 1.12 5. A survey of 200 males shows that they read on average of 17.7 b. 2.10 c. 2.24 d. 3.27 hours per week. If the margin of error is 2.2 hours at 95% what is the confidence interval? confidence, a. (12.5, 16.9) b. (13.5, 17.9) c. (15.3 , 19.7) d. (15.5, 19.9) 6. Find the p and ĝ wherex = 100 and n= 2,500. a. 0.4 and 0.6 b. 0.25 and 0.75 c. 0.16 and 0.84 d. 0.04 and 0.96 7. What is the value of ĝ if n = 500 and x 421? a. 0. 158 %3D b. 0.248 c. 0.518 d. 0.842 8. Five hundred randomly selected adult residents in Pasig City were surveyed to determine whether they have cell phones. Of the 500 people surveyed, 421 responded yes, they own cell phones. Using a 95% confidence level, what is a confidence interval estimate for the true proportion of adult residents of this city who have cell phones? a. (0.113 , 0.439) b. (0.278 , 0.722) c.(0.810,0.874) d. (0.911, 0.949)
Transcribed Image Text:ng ACTIVITY 3 (QUIZ) Write the letter of the correct answer on a separate sheet of paper. 1. What are the confidence coefficients of za, if the confidence level is 2 90% a. ± 1.65 b. ± 1.96 C. 2.58 d. + 2.64 2. Which is more appropriate distribution for the interval estimation if the sample size is greater than or equal to 30? a. f-distribution b. t-distribution c. z-distribution d. normal curve 3. What is the width of the confidence interval if the sample size is increasing? a. increasing b. decreasing C. constant d. undefined 4. What is the margin of error if n=16, s = 4.2 , x= 50, 95% confidence ( ta= 2.131 ) 2 a. 1.12 5. A survey of 200 males shows that they read on average of 17.7 b. 2.10 c. 2.24 d. 3.27 hours per week. If the margin of error is 2.2 hours at 95% what is the confidence interval? confidence, a. (12.5, 16.9) b. (13.5, 17.9) c. (15.3 , 19.7) d. (15.5, 19.9) 6. Find the p and ĝ wherex = 100 and n= 2,500. a. 0.4 and 0.6 b. 0.25 and 0.75 c. 0.16 and 0.84 d. 0.04 and 0.96 7. What is the value of ĝ if n = 500 and x 421? a. 0. 158 %3D b. 0.248 c. 0.518 d. 0.842 8. Five hundred randomly selected adult residents in Pasig City were surveyed to determine whether they have cell phones. Of the 500 people surveyed, 421 responded yes, they own cell phones. Using a 95% confidence level, what is a confidence interval estimate for the true proportion of adult residents of this city who have cell phones? a. (0.113 , 0.439) b. (0.278 , 0.722) c.(0.810,0.874) d. (0.911, 0.949)
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