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. 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. f. Does it appear that male symphony conductors live longer than males from the general population? A. Yes B. No g. Does being a symphony conductor cause a male to live longer? A. No B. Yes

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.

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.

f. Does it appear that male symphony conductors live longer than males from the general population?

Yes

g. Does being a symphony conductor cause a male to live longer?

Yes

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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