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A researcher wants to study the average lifetime of a certain brand of battery in hours. The testing hypotheses are Ho:μ = 1000 H₁:μ* 1000 Suppose that the standard deviation of the battery lifetime is known to be 250 hours. The researcher plans to draw a random sample of 900 batteries and measure their lifetime. She decides to reject the null hypothesis if the observed sample mean is different from 1000 hours by more than 25 hours. Find the type 1 error probability based on the researcher's rejection rule. O a) 13.36% Ob) 4.55% O c) 1.24% O d) 21.13% O e) 0.27%

A researcher wants to study the average lifetime of a certain brand of battery in hours. The testing hypotheses are Ho:μ = 1000 H₁:μ* 1000 Suppose that the standard deviation of the battery lifetime is known to be 250 hours. The researcher plans to draw a random sample of 900 batteries and measure their lifetime. She decides to reject the null hypothesis if the observed sample mean is different from 1000 hours by more than 25 hours. Find the type 1 error probability based on the researcher's rejection rule. O a) 13.36% Ob) 4.55% O c) 1.24% O d) 21.13% O e) 0.27%

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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A researcher wants to study the average lifetime of a certain brand of battery in hours. The testing hypotheses are Ho:μ = 1000 H₁:μ* 1000 Suppose that the standard deviation of the battery lifetime is known to be 250 hours. The researcher plans to draw a random sample of 900 batteries and measure their lifetime. She decides to reject the null hypothesis if the observed sample mean is different from 1000 hours by more than 25 hours. Find the type 1 error probability based on the researcher's rejection rule. O a) 13.36% Ob) 4.55% O c) 1.24% O d) 21.13% O e) 0.27%
Transcribed Image Text:A researcher wants to study the average lifetime of a certain brand of battery in hours. The testing hypotheses are Ho:μ = 1000 H₁:μ* 1000 Suppose that the standard deviation of the battery lifetime is known to be 250 hours. The researcher plans to draw a random sample of 900 batteries and measure their lifetime. She decides to reject the null hypothesis if the observed sample mean is different from 1000 hours by more than 25 hours. Find the type 1 error probability based on the researcher's rejection rule. O a) 13.36% Ob) 4.55% O c) 1.24% O d) 21.13% O e) 0.27%
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