A random sample of 160 items is drawn from a population whose standard deviation is known to be σ = 30. The sample mean is x⎯⎯x¯ = 800. (a) Construct an interval estimate for μ with 95 percent confidence. (Round your answers to 1 decimal place.) The 95% confidence interval is from _______ to ________ (b) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 60. (Round your answers to 1 decimal place.) The 95% confidence interval is from _______ to ________ (c) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 120. (Round your answers to 1 decimal place.) The 95% confidence interval is from ________ to ________ (d) Describe how the confidence interval changes as σ increases. The interval stays the same as σ increases. The interval gets wider as σ increases. The interval gets narrower as σ increases. The interval gets wider as σ decreases.
A random sample of 160 items is drawn from a population whose standard deviation is known to be σ = 30. The sample mean is x⎯⎯x¯ = 800.
(a) Construct an
The 95% confidence interval is from _______ to ________
(b) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 60. (Round your answers to 1 decimal place.)
The 95% confidence interval is from _______ to ________
(c) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 120. (Round your answers to 1 decimal place.)
The 95% confidence interval is from ________ to ________
(d) Describe how the confidence interval changes as σ increases.
-
The interval stays the same as σ increases.
-
The interval gets wider as σ increases.
-
The interval gets narrower as σ increases.
-
The interval gets wider as σ decreases.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 3 images