Polychlorinated biphenyls (PCBs), used in the manufacture of large electrical tr

Question

Polychlorinated biphenyls (PCBs), used in the manufacture of large electrical transformers and capacitors, are extremely hazardous contaminants when released into the environment. The Environmental Protection Agency (EPA) is experimenting with a new device for measuring PCB concentration in fish. To check the precision of the new instrument, seven PCB readings were taken on the same fish sample. The data are recorded below (in parts per million). Suppose the EPA requires an instrument that yields PCB readings with a variance of less than 0.1. You are asked to conclude whether the new instrument meet the EPA’s specifications.

6.2 5.8      5.7     6.3     5.9       5.8       6.0

To perform this analysis, we state the null hypothesis as option Fill in the Blank 01----, and the alternative hypothesis as option Fill in the Blank 02-----. With an alpha of 0.05, the test statistic (with 2 decimals) is equal to Fill in the Blank 03----. The critical value for this test (with 3 decimals) is equal to Fill in the Blank 04----. Based on these values, we (reject/do not reject) Fill in the Blank 05----the null hypothesis, and conclude that the new instrument (meet/does not meet) Fill in the Blank 06---- the EPA’s specifications.

Option 1: H0: s2 = 0.1
Option 2: H0: s2 = 0.1
Option 3: H0: s = 0.1
Option 4: H0: s = 0.1
Option 5: H0: s2 < 0.1
Option 6: H0: s < 0.1
Option 7: H0: s2 < 0.1
Option 8: H0: s < 0.1
Option 9: Ha: s2 = 0.1
Option 10: Ha: s2 = 0.1
Option 11: Ha: s = 0.1
Option 12: Ha: s = 0.1
Option 13: Ha: s2 < 0.1
Option 14: Ha: s < 0.1
Option 15: Ha: s2 < 0.1
Option 16: Ha: s < 0.1

Explanation / Answer

I am going to share a link with you I hope this will help you in your home work. http://ehp.niehs.nih.gov/members/1995/Suppl-9/feeley-full.html

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