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

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Chapter4: Equations Of Linear Functions
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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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