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A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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 alt="MODULE 12: Calculating the Small-Sample Confidence Interval Estimate for
Mean when ở is unknown
Individual work. Directions: Solve the following problem individually. Round off
your answer into three decimal places. (SHOW YOUR SOLUTION)
1. The mean of the masses of random samples of 21 blocks is 24 kg with a standard
deviation of 1.50 kg. Determine a 90% confidence interval for estimating the
mean mass of the population.
2. 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.
MODULE 10: Calculating the Confidence Interval Estimates for Mean µ
when o is known
Individual work. Directions: Answer the following problem. Round off your answer
into three decimal places. (SHOW YOUR SOLUTION)
1. A random sample of size 10 yielded the following observations on the random
variable X, the fuel consumption in millions of tons by power plants. Find the
point estimate for µ, the mean fuel consumption of power plants.
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Transcribed Image Text:MODULE 12: Calculating the Small-Sample Confidence Interval Estimate for
Mean when ở is unknown
Individual work. Directions: Solve the following problem individually. Round off
your answer into three decimal places. (SHOW YOUR SOLUTION)
1. The mean of the masses of random samples of 21 blocks is 24 kg with a standard
deviation of 1.50 kg. Determine a 90% confidence interval for estimating the
mean mass of the population.
2. 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.
MODULE 10: Calculating the Confidence Interval Estimates for Mean µ
when o is known
Individual work. Directions: Answer the following problem. Round off your answer
into three decimal places. (SHOW YOUR SOLUTION)
1. A random sample of size 10 yielded the following observations on the random
variable X, the fuel consumption in millions of tons by power plants. Find the
point estimate for µ, the mean fuel consumption of power plants.
506
495
508
500
510
515
490
501
508
502
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