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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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BSC Heights Listed below are heights (cm) of randomly

Chapter 9, Problem 15BSC

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QUESTION:

BSC Heights ?Listed below are heights (cm) of randomly selected females and males taken from Data Set 1 in Appendix B. Use a 0.05 significance level to test the claim that females and males have heights with the same amount of variation. Female: 163.7 165.5 163.1 166.3 163.6 170.9 153.5 155.7 153.0 157.0 Male: 178.8 177.5 187.8 172.4 181.7 169.0 186.9 183.1 176.4 183.4

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QUESTION:

BSC Heights ?Listed below are heights (cm) of randomly selected females and males taken from Data Set 1 in Appendix B. Use a 0.05 significance level to test the claim that females and males have heights with the same amount of variation. Female: 163.7 165.5 163.1 166.3 163.6 170.9 153.5 155.7 153.0 157.0 Male: 178.8 177.5 187.8 172.4 181.7 169.0 186.9 183.1 176.4 183.4

ANSWER:

Solution 15 BSC Step 1 The given problem explain about heights of females and males . Then we have selected randomly females and males heights. From the given information we want to test the claim that females and males have heights with the same amount of variation. Here, first sample is males group because its standard deviation is larger and second sample is females group. Then hypothesis is H 0 =1 2 H 1 = 1 / 2 Where and are the variance of population. 1 2 Then the given data is Height n =10 1 Males : s1=6.0647 n =10 2 Females : s2=6.0426

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