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Assume that in the survey of the previous problem during one month the sample weight (kg) and sample variance were calculated as with a sample size of n = : 64. y = 61.60, s² = 436.11 a) What are the point estimates for the population's expected value μ and its variance o²? What is the point estimate of the standard deviation σ of the population? What is the standard error of estimate for the population mean? b) In addition, use this data to calculate the 95% t-confidence interval for the expected value of the weight using the equation (5.17). (The quantiles of t- distribution are conveniently obtained using R by qt function. For example t17(0.01) = qt (0.99, 17) qt (0.01, 17, lower.tail FALSE) 2.567) = = =

Assume that in the survey of the previous problem during one month the sample weight (kg) and sample variance were calculated as with a sample size of n = : 64. y = 61.60, s² = 436.11 a) What are the point estimates for the population's expected value μ and its variance o²? What is the point estimate of the standard deviation σ of the population? What is the standard error of estimate for the population mean? b) In addition, use this data to calculate the 95% t-confidence interval for the expected value of the weight using the equation (5.17). (The quantiles of t- distribution are conveniently obtained using R by qt function. For example t17(0.01) = qt (0.99, 17) qt (0.01, 17, lower.tail FALSE) 2.567) = = =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Assume that in the survey of the previous problem during one month the sample weight (kg) and sample variance were calculated as Y y = 61.60, = 436.11 with a sample size of n = 64. a) What are the point estimates for the population's expected value μ and its variance o²? What is the point estimate of the standard deviation σ of the population? What is the standard error of estimate for the population mean? b) In addition, use this data to calculate the 95% t-confidence interval for the expected value of the weight using the equation (5.17). (The quantiles of t- distribution are conveniently obtained using R by qt function. For example t17(0.01) = qt (0.99, 17) = qt (0.01, 17, lower.tail = FALSE) = 2.567)
Transcribed Image Text:Assume that in the survey of the previous problem during one month the sample weight (kg) and sample variance were calculated as Y y = 61.60, = 436.11 with a sample size of n = 64. a) What are the point estimates for the population's expected value μ and its variance o²? What is the point estimate of the standard deviation σ of the population? What is the standard error of estimate for the population mean? b) In addition, use this data to calculate the 95% t-confidence interval for the expected value of the weight using the equation (5.17). (The quantiles of t- distribution are conveniently obtained using R by qt function. For example t17(0.01) = qt (0.99, 17) = qt (0.01, 17, lower.tail = FALSE) = 2.567)
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