In order to construct a confidence interval for the population variance, a rando
ID: 3374834 • Letter: I
Question
In order to construct a confidence interval for the population variance, a random sample of n observations is drawn from a normal population. Use this information to find ?2?/2,df and ?21-?/2,df under the following scenarios. Use Table 3. (Round your answers to 3 decimal places.)
In order to construct a confidence interval for the population variance, a random sample of n observations is drawn from a normal population. Use this information to find ?2?/2,df and ?21-?/2,df under the following scenarios. Use Table 3. (Round your answers to 3 decimal places.)
Explanation / Answer
solution:-
a. 90% confidence level with n = 9 is df = 8 , ?/2 = 0.05 , 1 - ?/2 = 0.95
?2?/2,df = 15.51
?21-?/2,df = 2.733
b. 90% confidence level with n = 39 , df = 38 , ?/2 = 0.05, 1-?/2 = 0.95
?2?/2,df = 53.38
?21-?/2,df = 24.88
c.95% confidence level with n = 9 , df = 8 , ?/2 = 0.025 , 1-?/2 = 0.975
?2?/2 = 17.54
?21-?/2,df = 2.18
d. 95% confidence level with n = 39 , df = 38 , ?/2 = 0.025 , 1-?/2 = 0.975
?2?/2,df = 56.9
?21-?/2,df = 22.88
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