A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2 years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter A. mu = The mean life span of the 35 male symphony conductors in the sample B. p = The proportion of all male symphony conductors who life more than 69.5 years C. mu = The mean life span of all male symphony conductors D. mu = The mean life span of all males b. State the null and alternative hypotheses A. Upper H 0 : mu equals 73.2 Upper H 1 : mu greater than 73.2 B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5 C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5 D. Upper H 0 : mu not equals 69.5 Upper H 1 : mu equals 69.5 c. Use your calculator to find the P-value. Which of these options is closest to the P-value? A. 0.0041 B. 0.0103 C. 0.0084 D. 0.1087 d. State the technical conclusion A. Reject Upper H 0 B. Do not reject Upper H 0 e. State the final conclusion A. There is sufficient evidence to warrant rejection of the claim that male symphony conductors have a mean life span that is greater than 69.5 years. B. There is not sufficient sample evidence to support the claim that male symphony conductors have a mean life span that is greater than 69.5 years. C. The sample data support the claim that male symphony conductors have a mean life span that is greater than 69.5 years. D. There is not sufficient evidence to warrant rejection of the claim that male symphony conductors have a mean life span that is greater than 69.5 years.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A newspaper article noted that the mean life span for 35 male symphony conductors was

73.2

years with a standard deviation of

8.7

Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years.

a. Define the parameter

= The mean life span of the 35 male symphony conductors in the sample

p = The proportion of all male symphony conductors who life more than 69.5 years

= The mean life span of all male symphony conductors

= The mean life span of all males

b. State the null and alternative hypotheses

Upper H 0 : mu equals

73.2

Upper H 1 : mu greater than

73.2

Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5

Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5

Upper H 0 : mu not equals 69.5 Upper H 1 : mu equals 69.5

c. Use your calculator to find the P-value. Which of these options is closest to the P-value?

0.0041

0.0103

0.0084

0.1087

d. State the technical conclusion

Reject Upper H 0

Do not reject Upper H 0

e. State the final conclusion

There is sufficient evidence to warrant rejection of the claim that male symphony conductors have a mean life span that is greater than 69.5 years.

There is not sufficient sample evidence to support the claim that male symphony conductors have a mean life span that is greater than 69.5 years.

The sample data support the claim that male symphony conductors have a mean life span that is greater than 69.5 years.

There is not sufficient evidence to warrant rejection of the claim that male symphony conductors have a mean life span that is greater than 69.5 years.

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