Suppose a population of scores x is normally distributed with μ
= 150 and σ = 12. Use the standard normal distribution to find the
probability indicated. (Round your answer to four decimal
places.)
Pr(x > 180)
Suppose a population of scores x is normally distributed with μ = 150 and σ =...
A quart of milk contains a mean of 35 g of butterfat, with a standard deviation of 4 g. If the butterfat is normally distributed, find the probability that a quart of this brand of milk chosen at random will contain the following. (Round your answers to four decimal places.) (a) between 35 and 39 g of butterfat (b) between 25 and 35 g of butterfat The heights of a certain species of plant are normally distributed, with mean μ...
A population is normally distributed with μ = 200 and σ = 20. a. Find the probability that a value randomly selected from this population will have a value greater than 250. P(x > 250) = ______ . (Round to four decimal places as needed.) b. Find the probability that a value randomly selected from this population will have a value less than 185. P(x < 185) = ______ . (Round to four decimal places as needed.) c. Find the...
A population is normally distributed with μ = 200 and σ = 20. a. Find the probability that a value randomly selected from this population will have a value greater than 250. P(x > 250) = ______ . (Round to four decimal places as needed.) b. Find the probability that a value randomly selected from this population will have a value less than 185. P(x < 185) = ______ . (Round to four decimal places as needed.) c. Find the...
Assume the random variable x is normally distributed with mean μ=82 and standard deviation σ=44. Find the indicated probability. P(x<79 ) P(xl<79 )=______ (Round to four decimal places as needed.)
A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 H(Simplity your answer) o-# L] (Simplify your answer.) to the random variable x is normally distributed with mean-83 and standard deviation ơ-4 Find the indicated probability P(70sx 76) P(70 < x < 76)= Round to four decimal places as needed.) Enter your answer in the answer box
The random variable X is normally distributed. Also, it is known that P(X > 150) = 0.10. [You may find it useful to reference the z table.] a. Find the population mean μ if the population standard deviation σ = 15. (Round "z" value to 3 decimal places and final answer to 2 decimal places.) b. Find the population mean μ if the population standard deviation σ = 25. (Round "z" value to 3 decimal places and final answer to...
Suppose that for some population, intelligence scores are distributed normally with σ = 15 and with μ unknown. To construct a confidence interval for μ, based on the mean of a sample, how large a sample of scores is necessary so that the probability that μ is within 3 points of the sample mean is: a) 0.8? b) 0.96? c) 0.999?
Suppose that for some population, intelligence scores are distributed normally with σ = 15 and with μ unknown. To construct a confidence interval for μ, based on the mean of a sample, how large a sample of scores is necessary so that the probability is A: 0.9 that μ will be: a) Within 12 points of the sample mean? b) Within 6 points of the sample mean? c) Within 3 points of the sample mean? d) Within 0.5 point of...
Suppose x has a distribution with μ = 10 and σ = 9. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 60 is drawn, find μx, σ x and P(10 ≤ x ≤...
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>38)=________ (Round to four decimal places as needed.)