Assuming the random variable X is normally distributed, compute
the upper and lower limit of the 95% confidence
interval for the population mean if a random sample of size
n=11 produces a sample mean of 43
and sample standard deviation of 6.20.
Lower limit = , Upper
limit =
Round to two decimals.
Assuming the random variable X is normally distributed, compute the upper and lower limit of the...
Let X be a normally distributed random variable with expected value and standard deviation 5. being 60 and 20, respectively. Let X, be the sample mean of a random sample of size n from X. A random sample of size 25 from X is given in the following table: 84.75534 37.3332 56.2749 27.09361 63.11717 46.38288 73.65585 50.46811 44.61746 91.7605 78.05359 33.82873 86.2026 51.86157 75.01817 52.57203 19.59978 80.21883 72.44076 42.92938 68.02203 68.10625 61.5187 81.53383 60.46798 (i) Determine a 95% confidence interval...
A simple random sample of size n-23 is drawn from a population that is normally distributed. The sample mean is found to be x = 63 and the sample standard deviation is found to be s 18. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of 17 AAA batteries produced by this manufacturer lasted a mean of 11 hours with a standard deviation of 2.5 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then complete the table below.Carry your intermediate computations to at least...
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 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about mu μ if the sample size, n, is 12. (b) Construct a 95% confidence interval about mu μ if the sample size, n, is 23. (c) Construct a a 96 96% confidence...
simple random sample of size n is drawn from a population that is normally distributed. The sample mean, X. is found to be 111, and the sample standard deviation is found to be 10. a) Construct a 95% confidence interval about if the sample size, n, is 28. b) Construct a 95% confidence interval about if the sample size, n, is 11 c) Construct a 90% confidence interval about if the sample size, n, is 28 ) Could we have...
A simple random sample of size n=21 is drawn from a population that is normally distributed. The sample mean is found to be x= 68 and the sample standard deviation is found to be s = 18. Construct a 90% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A simple random sample of size n=21 is drawn from a population that is normally distributed. The sample mean is found to be x = 58 and the sample standard deviation is found to be s = 17. Construct a 90% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
9.3 A simple random sample of size n=24 is drawn from a population that is normally distributed. The sample mean is found to be x = 68 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25. (b) Construct a 95% confidence interval about if the sample size, n, is 13 (c) Construct a 90% confidence interval about if the sample size, n, is 25. (d) Could...
A simple random sample of size nis drawn from a population that is normally distributed. The sample mean, X, is found to be 106, and the sample standard deviations, is found to be 9. (a) Construct a 95% confidence interval about if the sample size, n, is 26 (b) Construct a 95% confidence interval about if the sample size, n, is 13 (c) Construct a 90% confidence interval about if the sample size, n, is 26 (d) Should the confidence...