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The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.020. The battery life is not significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value = 0.1030 Round your answer to three decimal places (e.g. 98.765). (c) What is the 3-error for the test in part (a) if the true mean life is 42 hours? 3- i 0.00045 Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that 3 does not exceed 0.1 if the true mean life is 44 hours? batteries 1

The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.020. The battery life is not significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value = 0.1030 Round your answer to three decimal places (e.g. 98.765). (c) What is the 3-error for the test in part (a) if the true mean life is 42 hours? 3- i 0.00045 Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that 3 does not exceed 0.1 if the true mean life is 44 hours? batteries 1

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
Section13.3: Special Probability Density Functions
Problem 7E
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9.1.2 8 please help correct part C) and D) both are incorrect
The life in hours of a battery is known to be approximately normally distributed, with standard deviation 6 = 1.25 hours. A random sample of 10 batteries has a mean life of * = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.020. The battery life is not significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value = 0.1030 Round your answer to three decimal places (e.g. 98.765). (c) What is the ß-error for the test in part (a) if the true mean life is 42 hours? 3= 0.00045 Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that does not exceed 0.1 if the true mean life is 44 hours? batteries i 1 Statistical Tables and Charts
Transcribed Image Text:The life in hours of a battery is known to be approximately normally distributed, with standard deviation 6 = 1.25 hours. A random sample of 10 batteries has a mean life of * = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.020. The battery life is not significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value = 0.1030 Round your answer to three decimal places (e.g. 98.765). (c) What is the ß-error for the test in part (a) if the true mean life is 42 hours? 3= 0.00045 Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that does not exceed 0.1 if the true mean life is 44 hours? batteries i 1 Statistical Tables and Charts
The life in hours of a battery is known to be approximately normally distributed, with standard deviation 6 = 1.25 hours. A random sample of 10 batteries has a mean life of = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.020. The battery life is not significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value = 0.1030 Round your answer to three decimal places (e.g. 98.765). (c) What is the 3-error for the test in part (a) if the true mean life is 42 hours? B = 0.00003 Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that 3 does not exceed 0.1 if the true mean life is 44 hours? batteries i 1 Statistical Tables and Charts
Transcribed Image Text:The life in hours of a battery is known to be approximately normally distributed, with standard deviation 6 = 1.25 hours. A random sample of 10 batteries has a mean life of = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.020. The battery life is not significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value = 0.1030 Round your answer to three decimal places (e.g. 98.765). (c) What is the 3-error for the test in part (a) if the true mean life is 42 hours? B = 0.00003 Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that 3 does not exceed 0.1 if the true mean life is 44 hours? batteries i 1 Statistical Tables and Charts
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