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(solution) Vital capacity is the amount of air someone can exhale after


Vital capacity is the amount of air someone can exhale after taking a deep breath. One might intuitively think that brass instrument players have greater vital capacities than other persons of the same age, sex, and height. One study compared 8 brass players against 7 control subjects. Below is the summary:

Groupn

x?

s
Brass Players84.80.435
Control74.70.351

Is there significant evidence to support the intuitive thinking? Conduct the appropriate test of hypothesis to answer this question. Use 10% significance level. 

Complete the following steps for your answer.

(a) Define the parameters in this problem

Let U1=

and U2=

(b) Formulate the null and alternative hypothesis.

(c) Write the name of the test you will use.

(d) Verify all assumptions that you need to use your proposed test.

(e) Calculate your proposed test statistics and find the P-value of the test.

(f) On the basis of p-value make decision and write your conclusion in context

Decision:

Conclusion:

 


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