Use the sample information x¯ = 43, σ = 3, n = 13 to calculate the...

Use the sample information x¯ = 43, σ = 3, n = 13 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from to (d) Describe how the intervals change as you increase the confidence level. The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.

Expert Solution

orchestra answered 2 years ago

Use the sample information x¯x¯ = 43, σ = 6, n = 13 to calculate the...

Use the sample information x¯x¯ = 43, σ = 6, n = 13 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence...

Use the sample information x¯x¯ = 40, σ = 7, n = 13 to calculate the...

Use the sample information x¯x¯ = 40, σ = 7, n = 13 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from _____ to _____ (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from _____ to _____ (c) 99 percent confidence. (Round your answers to 4...

Use the sample information x¯ = 40, σ = 7, n = 13 to calculate the...

Use the sample information x¯ = 40, σ = 7, n = 13 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from ___ to ___ (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from ___ to ___ (c) 99 percent confidence. (Round your answers to 4...

Use the sample information x¯= 40, σ = 7, n = 13 to calculate the following...

Use the sample information x¯= 40, σ = 7, n = 13 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from ___ to___ (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from ___ to____ (c) 99 percent confidence. (Round your answers to 4 decimal places.) ...

Use the sample information x⎯⎯x¯ = 40, σ = 3, n = 18 to calculate the...

Use the sample information x⎯⎯x¯ = 40, σ = 3, n = 18 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence...

Use the sample information x⎯⎯x = 36, σ = 7, n = 16 to calculate the...

Use the sample information x⎯⎯x = 36, σ = 7, n = 16 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from to...

Use the sample information x⎯⎯ = 36, σ = 6, n = 11 to calculate the...

Use the sample information x⎯⎯ = 36, σ = 6, n = 11 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to? (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to ? c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence...

Use the sample information x¯ = 38, σ = 4, n = 11 to calculate the...

Use the sample information x¯ = 38, σ = 4, n = 11 to calculate the following confidence intervals for μ assuming the sample is from a normal population 90% confidence interval is from 95% confidence interval is from 99% confidence interval is from

Use the sample information x¯ = 41, σ = 4, n = 20 to calculate the...

Use the sample information x¯ = 41, σ = 4, n = 20 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval...

Let X ∼ N(µ, σ) and X¯ be sample mean from a random sample of 9....

Let X ∼ N(µ, σ) and X¯ be sample mean from a random sample of 9. Suppose you draw a random sample of 9, calculate an interval ¯x ± 0.5σ where σ is the population standard deviation of X, and then check whether µ, the population mean, is contained in the interval or not. If you repeat this process 100 times, about how many time do you think µ is contained in X¯ ± 0.5σ. Explain why. (Hint: What is...

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