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2. Two independent random samples from their respective populations of interest are selected. Assume the populations are normally distributed; assume that = 75, s² = 25, and n = 20 characterize the first sample; assume that y 36, and m = 22 characterize the second sample; and assume of o2 are unknown. 72, s = (a) We wish to find a 98% confidence interval for μ₁ - conditions met? If not, explain why. 2. Are all (b) Find the t critical number associated with a central 98% con- fidence interval. Hint: You may need a calculator to find the critical number. (c) Construct a central 98% confidence interval for μ₁ - μ2.

2. Two independent random samples from their respective populations of interest are selected. Assume the populations are normally distributed; assume that = 75, s² = 25, and n = 20 characterize the first sample; assume that y 36, and m = 22 characterize the second sample; and assume of o2 are unknown. 72, s = (a) We wish to find a 98% confidence interval for μ₁ - conditions met? If not, explain why. 2. Are all (b) Find the t critical number associated with a central 98% con- fidence interval. Hint: You may need a calculator to find the critical number. (c) Construct a central 98% confidence interval for μ₁ - μ2.

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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2. Two independent random samples from their respective populations of interest are selected. Assume the populations are normally distributed; assume that x = 75, s² = 25, and n = 20 characterize the first sample; assume that y 72, s²2 36, and m = 22 characterize the second sample; and assume o² o2 are unknown. = - (a) We wish to find a 98% confidence interval for μ₁ −μ2. Are all conditions met? If not, explain why. (b) Find the t critical number associated with a central 98% con- fidence interval. Hint: You may need a calculator to find the critical number. (c) Construct a central 98% confidence interval for µ₁ − μ₂.
Transcribed Image Text:2. Two independent random samples from their respective populations of interest are selected. Assume the populations are normally distributed; assume that x = 75, s² = 25, and n = 20 characterize the first sample; assume that y 72, s²2 36, and m = 22 characterize the second sample; and assume o² o2 are unknown. = - (a) We wish to find a 98% confidence interval for μ₁ −μ2. Are all conditions met? If not, explain why. (b) Find the t critical number associated with a central 98% con- fidence interval. Hint: You may need a calculator to find the critical number. (c) Construct a central 98% confidence interval for µ₁ − μ₂.
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