A simple random sample of size 64 is drawn from a normal population with a known standard deviation σ. The 95% confidence interval for the population mean μ is found to be (12, 16). The approximate population standard deviation σ is:
Margin of error = Width of confidence interval / 2
= ( 16 - 12) / 2
= 2
Margin of error = Z/2 * / sqrt(n)
2 = 1.96 * / sqrt( 64)
= 0.49
A simple random sample of size 64 is drawn from a normal population with a known...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 107 , and the sample standard deviation, s, is found to be 10 .(a) Construct a 98 % confidence interval about μ if the sample size, n, is 22 .(b) Construct a 98 % confidence interval about μ if the sample size, n, is 12 .(c) Construct a 95 % confidence interval about μ if the...
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a simple random sample of size n = 16 is drawn from a population that is normally distributed. The sample mean is found to be x = 50 and the standard deviation is found to be s = 11. Construct a 95% confidence interval about the populatio nmean
Please show all work!!! 11.* A random sample of size n 64 is drawn from a population with mean μ and standard deviation σ. The mean and standard deviation of the sample are X = 308.9 and s 31.9 a. Find a 90%confidence interval for the mean μ. Interpret this interval. b. Find a 95%confidence interval for the mean μ. Interpret this interval. c. Find a 99%confidence interval for the mean μ. Interpret this interval. d. Compare the widths of...
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 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about mu if the sample size, n, is 25. (b) Construct a 95% confidence interval about mu if the sample size, n, is 12. (c) Construct a 70% confidence interval about mu if the sample size, n,...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar x, is found to be 107, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about mu μ if the sample size, n, is 18. (b) Construct a 98% confidence interval about mu μnif the sample size, n, is 12. c) Construct a 96% confidence interval about mu μ if...
A simple random sample of size nequals16 is drawn from a population that is normally distributed. The sample mean is found to be x overbar equals 54 and the sample standard deviation is found to be s=12. Construct a 90% confidence interval about the population mean.
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