Suppose that a population is known to be normally distributed with mean= 2,100 and standard deviation=...
A normally distributed population has a mean of 500 and a standard deviation of 80. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 463 . b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 538. A company makes windows for use in homes and commercial buildings. The standards for glass...
A normally distributed population has a mean of 600 and a standard deviation of 60. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 579. b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 636.
A normally distributed population has a mean of 475 and a standard deviation of 48. a. Determine the probability that a random sample of size 9 selected from this population will have a sample mean less than 451. b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 498. a. P(X<451) = (Round to four decimal places as needed.) b. P(X2498) = 1 (Round to...
Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 8 points and an unknown population mean. A random sample of 25 scores is taken and gives a sample mean of 93 points. Find the margin of error for a confidence interval for the population mean with a 98% confidence level. z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round...
Given a normally distributed population with known standard deviation of o = 4, and suppose we would like to test Hair = 14 against H.:p> 14 and significance level a = .05 a) If the null hypothesis is true, what is the probability that we would reject it in favor of the alternative hypothesis? b) Taking a random sample of n= 10 from the population and find that the sample mean is a 16.5. Give the observed value z of...
A normally distributed population has a mean of 76 and a standard deviation of 19. Determine the probability that a random sample of size 22 has an average between 72 and 76. Round to four decimal places.
Suppose it is known that the reimbursement amount for a specific DRG is normally distributed with a population mean of $7500 and a population standard deviation of $500. If a random sample of size 15 is selected from this population, find the probability that the mean reimbursement amount will be between $7200 and $7800. ( There is approximately a 90% chance that the sample mean for reimbursement of this DRG is between S7200 and S7800 There is approximately a 98%...
A normally distributed population has a mean of 210 grams and a standard deviation of 20 grams. What is the probability of a randomly selected element having a weight between 245 grams and 255 grams?
A population is normally distributed with a mean of 100 and a standard deviation of 10, for samples of size 25, what is the probability of randomly sampling and getting a sample mean of 103 or more?
suppose there is a normally distributed population with a mean of 250 and a standard deviation of 50. If xbar is the average of a sample of 36,find P(xbar<=240)