On March 28, 1979, the nuclear generating facility at Three Mile Island, Pennsyl
ID: 3157333 • Letter: O
Question
On March 28, 1979, the nuclear generating facility at Three Mile Island, Pennsylvania, began dis- charging radiation into the atmosphere. People exposed to even low levels of radiation can experi- ence health problems ranging from very mild to severe, even causing death. A local newspaper re- ported that 11 babies were born with kidney problems in the three-county area surrounding the Three Mile Island nuclear power plant. The expected value for that problem in infants in that area was 3. Answer the following questions. 4.Is it unlikely that 11 occurred by chance? 5. Are there any other statistics that could better inform the public?
Explanation / Answer
The huge difference between sample mean, xbar and population mean, mu indicates that the value 11 occurred by chance.
The mean number of infants with the radiation probelm born in that area is 3. Therefore, whethet the number as reported by local news paper occurred by chance needs suitable hypothesis testing.
H0:mu=11 versus H1:mu not equal to 11.
Z test statistic computes the Z value and corresponding p value for decision.
Failure to reject null hypothesis will lead to conclusion that the value occured by chance only.
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