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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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A random sample of seven measurements gave = 9.4 and s2 =

Chapter 7, Problem 84E

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QUESTION:

Problem 84E

A random sample of seven measurements gave  = 9.4 and s2 = 4.84.

a. What assumptions must you make concerning the population in order to test a hypothesis about ?

b. Suppose the assumptions in part a are satisfied. Test the null hypothesis,  = 1, against the alternative hypothesis,  > 1. Use  = .05.

c. Test the null hypothesis that  = 1 against the alternative hypothesis that  ≠ 1. Use  = .05.

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QUESTION:

Problem 84E

A random sample of seven measurements gave  = 9.4 and s2 = 4.84.

a. What assumptions must you make concerning the population in order to test a hypothesis about ?

b. Suppose the assumptions in part a are satisfied. Test the null hypothesis,  = 1, against the alternative hypothesis,  > 1. Use  = .05.

c. Test the null hypothesis that  = 1 against the alternative hypothesis that  ≠ 1. Use  = .05.

ANSWER:

Solution:  

Step 1 of 3:

 Suppose that a random sample of seven measurements gave

a). We have to give the assumptions for

    It would be necessary to assume that the population has a normal distribution.

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