Answer
we have
degree of freedom = n-1 = 6-1 = 5
using t distribution table with degree of freedom 5 and significance level of 0.05, we get
t critical = 2.57
(A) formula for the confidence interval is given as
setting the given values, we get
this gives us
Required confidence interval is (58.46,81.54) (rounded to two decimals)
(b) Margin of error =
setting the given values, we get
margin of error = (rounded to two decimals)
We calculate confidence interval for the population mean, So option D is correct regarding the interpretation of confidence interval.
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