Find a 95% confidence interval for the population standard deviation with mean of the population unknown.
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A random sample is taken from a random variable W~N(μ, σ).
RS: 380, 385, 400, 375, 420, 415, 412, 401, 405, 411, 410, 383.
Find a 95% confidence interval for the population standard deviation σ. The mean μ of the population is unknown.
So far, I computed x̄ = 399.75 and S^2 = 212.8542.
I know how to use formulas to find the confidence interval for σ^2 with μ unknown, but how would I compute it for σ ? Am I able to use said formula to find σ^2 and then take the roots of the endpoints?
statistics confidence-interval
asked Nov 26 at 15:21
kmediate
115
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up vote
0
down vote
favorite
A random sample is taken from a random variable W~N(μ, σ).
RS: 380, 385, 400, 375, 420, 415, 412, 401, 405, 411, 410, 383.
Find a 95% confidence interval for the population standard deviation σ. The mean μ of the population is unknown.
So far, I computed x̄ = 399.75 and S^2 = 212.8542.
I know how to use formulas to find the confidence interval for σ^2 with μ unknown, but how would I compute it for σ ? Am I able to use said formula to find σ^2 and then take the roots of the endpoints?
statistics confidence-interval
asked Nov 26 at 15:21
kmediate
115
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
A random sample is taken from a random variable W~N(μ, σ).
RS: 380, 385, 400, 375, 420, 415, 412, 401, 405, 411, 410, 383.
Find a 95% confidence interval for the population standard deviation σ. The mean μ of the population is unknown.
So far, I computed x̄ = 399.75 and S^2 = 212.8542.
I know how to use formulas to find the confidence interval for σ^2 with μ unknown, but how would I compute it for σ ? Am I able to use said formula to find σ^2 and then take the roots of the endpoints?
statistics confidence-interval
asked Nov 26 at 15:21
kmediate
115
A random sample is taken from a random variable W~N(μ, σ).
RS: 380, 385, 400, 375, 420, 415, 412, 401, 405, 411, 410, 383.
Find a 95% confidence interval for the population standard deviation σ. The mean μ of the population is unknown.
So far, I computed x̄ = 399.75 and S^2 = 212.8542.
I know how to use formulas to find the confidence interval for σ^2 with μ unknown, but how would I compute it for σ ? Am I able to use said formula to find σ^2 and then take the roots of the endpoints?
statistics confidence-interval
statistics confidence-interval
asked Nov 26 at 15:21
kmediate
115
asked Nov 26 at 15:21
kmediate
115
edited Nov 26 at 20:06
asked Nov 26 at 15:21
kmediate
115
asked Nov 26 at 15:21
kmediate
115
asked Nov 26 at 15:21
kmediate
115
115
add a comment |
add a comment |
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