In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean,
x overbarx,
is found to be
115115,
and the sample standard deviation, s, is found to be
1010.
(a) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
1717.
(b) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
2828.
(c) Construct
aa
9999%
confidence interval about
muμ
if the sample size, n, is
1717.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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Click the icon to view the table of areas under the t-distribution.
(a) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
1717.
Lower bound:
nothing;
Upper bound: nothing
(Use ascending order. Round to one decimal place as needed.)
Refer t-table or use excel function "=T.INV.2T(0.05,16)" to find the value of t.
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Refer t-table or use excel function "=T.INV.2T(0.05,27)" to find the value of t.
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Refer t-table or use excel function "=T.INV.2T(0.01,16)" to find the value of t.
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