A. For a sample mean (Xbar) = 26 and a sample size N = 49 with a standard deviation of σ = 12, compute a 95% confidence interval for μ. (Show the process you used to determine the CI bounds)
Added by Chris B.
Step 1
To compute a 95% confidence interval, we need to find the critical value. Since the sample size is large (N = 49), we can use the Z-distribution. The critical value for a 95% confidence interval is 1.96. Show more…
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A random sample of n measurements was selected from a population with unknown mean μ and known standard deviation σ. Calculate a 95% confidence interval for μ if: n = 49, x̄ = 25, σ² = 16 (23.88, 26.12) (24.35, 25.65) (24.00, 26.00) (14.94, 15.06)
Adi S.
We provide a sample mean, sample size, population standard deviation, and confidence level. In each case, use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. $$\bar{x}=25, n=36, \sigma=3, \text { confidence level }=95 \%$$
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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 110, and the sample standard deviation, s, is found to be 10. (b) Construct a 98% confidence interval about mu if the sample size, n, is 26.
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