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1. Suppose a population consists of the numbers 2,3,5,8 and 12. What is the mean of the population? (Clue: Point Estimation)

1. Suppose a population consists of the numbers 2,3,5,8 and 12. What is the mean of the population? (Clue: Point Estimation)

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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Directions: Solve the following problems. Show your complete solution. Round off your answer into three decimal places. (5 points each item) III. 1. Suppose a population consists of the numbers 2,3,5,8 and 12. What is the mean of the population? (Clue: Point Estimation) 2. Mr. Santiago's company sells bottled coconut juice. He claims that a bottle contains 500 ml of such juice. You wanted to know if his claim is true. The took 6 random samples of 10 bottles. Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 497 503 500 500 495 494 497 497 497 500 500 500 500 498 499 497 495 498 500 497 497 497 502 496 497 497 497 497 497 495 501 495 500 497 497 500 500 495 497 497 497 499 500 500 496 502 497 497 499 496 497 500 500 496 497 496 495 497 497 497 Based on the point estimate, would you say that the claim is true? 3. Determining confidence interval estimate (is known). The standard deviation of the masses of 500 blocks is 2.50 kg. Random samples of 50 blocks have a mean mass of 24 kg. Determine a 90% confidence interval for estimating the mean mass of the population. 4. A random sample of 15 students was selected from a population size of 100 (normal) in a certain dormitory. The mean of weekly expenditures of the sample students is P400 with P17.50 standard deviations. Construct a 95% confidence interval for the average amount of expenditure of the resident in the dormitory.
Transcribed Image Text:Directions: Solve the following problems. Show your complete solution. Round off your answer into three decimal places. (5 points each item) III. 1. Suppose a population consists of the numbers 2,3,5,8 and 12. What is the mean of the population? (Clue: Point Estimation) 2. Mr. Santiago's company sells bottled coconut juice. He claims that a bottle contains 500 ml of such juice. You wanted to know if his claim is true. The took 6 random samples of 10 bottles. Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 497 503 500 500 495 494 497 497 497 500 500 500 500 498 499 497 495 498 500 497 497 497 502 496 497 497 497 497 497 495 501 495 500 497 497 500 500 495 497 497 497 499 500 500 496 502 497 497 499 496 497 500 500 496 497 496 495 497 497 497 Based on the point estimate, would you say that the claim is true? 3. Determining confidence interval estimate (is known). The standard deviation of the masses of 500 blocks is 2.50 kg. Random samples of 50 blocks have a mean mass of 24 kg. Determine a 90% confidence interval for estimating the mean mass of the population. 4. A random sample of 15 students was selected from a population size of 100 (normal) in a certain dormitory. The mean of weekly expenditures of the sample students is P400 with P17.50 standard deviations. Construct a 95% confidence interval for the average amount of expenditure of the resident in the dormitory.
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