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Question: A researcher is interested in differences in the use of sick days by younger and older adults working for a state agency. A random sample of 10 younger (under 30) and 10 older (over 50) workers yielded the following data in sick days used within the past 12 months. Use these data to test the null hypothesis of no difference in the use of sick days between younger and older adults. Use α = 0.05. What do your results indicate?
Younger Adults Older Adults
1 2
10 7
2 13
3 5
13 10
6 12
7 25
4 14
0 5
4 8
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Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
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