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6. A magazine article stated that the average age of men who were getting divorced for the first time was less than 40 years. A researcher decided to test this theory at a = 0.025. She selected a sample of 20 men who were recently divorced and found that the average age was 38.6 years. The standard deviation of the sample was 4 years. Should the null hypothesis be rejected on the basis of the sample? Assume that the variable is approximately normally distributed. Construct a corresponding confidence interval for the population parameter. (0₂ X+ 19,0975 SAT)

6. A magazine article stated that the average age of men who were getting divorced for the first time was less than 40 years. A researcher decided to test this theory at a = 0.025. She selected a sample of 20 men who were recently divorced and found that the average age was 38.6 years. The standard deviation of the sample was 4 years. Should the null hypothesis be rejected on the basis of the sample? Assume that the variable is approximately normally distributed. Construct a corresponding confidence interval for the population parameter. (0₂ X+ 19,0975 SAT)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. A magazine article stated that the average age of men who were getting divorced for the first time was less than 40 years. A researcher decided to test this theory at a = 0.025. She selected a sample of 20 men who were recently divorced and found that the average age was 38.6 years. The standard deviation of the sample was 4 years. Should the null hypothesis be rejected on the basis of the sample? Assume that the variable is approximately normally distributed. Construct a corresponding confidence interval for the population parameter. (0) x + ₁9₂.975 S/n)
Transcribed Image Text:6. A magazine article stated that the average age of men who were getting divorced for the first time was less than 40 years. A researcher decided to test this theory at a = 0.025. She selected a sample of 20 men who were recently divorced and found that the average age was 38.6 years. The standard deviation of the sample was 4 years. Should the null hypothesis be rejected on the basis of the sample? Assume that the variable is approximately normally distributed. Construct a corresponding confidence interval for the population parameter. (0) x + ₁9₂.975 S/n)
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