Let X be a normally distributed random variable with expected value and standard deviation 5. being...
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.
25> Consider a variable known to be Normally distributed with unknown mean μ and known standard deviation σ-10. (a) what would be the margin of error of a 95% confidence interval for the population mean based on a random sample size of 25? The multiplier for a z confidence interval with a 95% confidence level is the critical value z. 1.960. (Enter your answer rounded to three decimal places.) margin of error 25 (b) What would be the margin 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,...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
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...
3. Consider a normally distributed population with a standard deviation of 36. If a random sample of size 49 produces a sample mean of 150, construct an 80% confidence interval for the true mean of the population.
A simple random sample of size n equals = 18 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 equals = 19 Construct a 95% confidence interval about the population mean. The 95% confidence interval is ( _____ , _____ ). (Round to two decimal places as needed.)
1. Let a population be normally distributed with mean u and standard deviation o = 5. Find the sample size n such that we are 95 percent confident that the estimate of X is within 1.5 units of the true mean pi.
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.)
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...