One grap in the figure represents a normal distribution with mean μ= 15 and standard deviation...
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One graph in the figure represents a normal distribution with mean = 11 and standard deviation o=2. The other graph represents a normal distribution with mean u = 15 and standard deviation o =2. Determine which graph is which and explain how you know. OOR 11 15 Choose the correct answer below. O A. Graph A has a mean of u = 11 and graph B has a mean of u = 15 because a larger mean shifts the...
One graph in the figure represents a normal distribution with mean 4 = 10 and standard deviation 0 = 3. The other graph represents a normal distribution with mean y = 10 and standard deviation o =2. Determine which graph is which and explain how you know.
Let X be normal with mean μ and standard deviation σ. a) The cumulative distribution satisfies F(σ) = 50% b) X is bimodal with modes as μ- σ and μ+σ c) F(μ-σ) = 1-F(μ+σ) d) Z = (X-μ)/σ is the standard unit normal. e) If a<c<b, the (F(b)-F(a))>(F(c)-F(a))
If X has a normal distribution with mean μ and standard deviation σ, and Z is the standard normal random variable whose cumulative distribution function is P(Z s Z)-0(Z), then which of the following statements is NOT correct? O E. All of the given statements are not correct
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
(b) Suppose that the random variable X has a normal distribution with mean μ and standard deviation σ. Which of the following is correct about the value x-μ+.28ơ i. The z-score of x is-0.58. ії. x is approximately .61 standard deviations above the mean. iii. There is approximately 39% chance of getting a value that is larger than x. iv. There is approximately 61% chance of getting a value that is larger than T v. r is approximately the 39th...
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
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Assume that x has a...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 8; σ = 2 P(7 ≤ x ≤ 11) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6.0; σ = 1.4 P(7 ≤ x ≤ 9) = Assume that x has a normal...
1. A normal distribution has a mean of μ = 60 and a standard deviation of σ = 12. For each of the following samples, compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. a. M = 53 for n = 4 scores σ/ √n= 12/√4 =6 z=(53-60)/6 = -1.17 b. M = 53 for n = 9 scores σ/ √n=...
99 and standard deviation σ A population whose distribution is unknown has mean μ and a sample of size 26 is drawn from this population, then 1, a. The mean oJ a b. The standard error ot c. The distribution of A population whose distribution is unknown has mean μ = 99 and standard deviation σ = 7 and a sample of size 26 is drawn from this population, then 1, a. b. c. The mean of X= The standard...