For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ and μ+3σ μ + 3 σ (b) Between 2 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than μ−1σ μ − 1 σ Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ...
(1 point) For a normal distribution, find the probability of being (a) Between u - 20 and 4 + 20 (b) Between 1.5 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than u - 30 Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
Assume that X has a normal distribution, and find the indicated probability. The mean is μ = 22.0 and the standard deviation is σ = 2.0 Find the probability that X is less than 50.0 Round to 3 decimals
The location of a Normal distribution is determined by its mean μ, where as its shape is determined by the standard deviation σ. To see the effect of changing μ, you are going to graph two Normal probability density functions, one with μ = 100 and another with μ = 105, both having σ = 10. Recall that for each distribution the first value should be 3σ = 30 below the mean, and the last value should be 3σ above...
Given a normal distribution with μ=55 and σ=3.0, a) What is the probability that X greater than>51? B) What is the probability that X less than<49? c) For this distribution,99%of the values are less than what X-value? d) Between what two X-values (symmetrically distributed around the mean) are 80% of the values?
7) In a normal distribution with μ=14 and σ=2, find the mean of the distribution of sample means for samples of size 25. 8) In a normal distribution with μ=12 and σ=0.75, find the standard deviation of the distribution of sample means for samples of size 64. (Round to the nearest ten-thousandth.) 11)Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation...
For a normal distribution, find the percentage of data that are Less than μ−1σ= % ANSWER IS NOT 16 P(−z0≤z≤0)=0.3238 ANSWER NOT .42 z0=
Give all answers to 4 decimal places. For a standard normal distribution: a) find the probability a score is between the mean and 0.85 standard deviations above the mean? b) find the probability a score is between the mean and 0.85 standard deviations below the mean? c) If the probability that a person scores below a particular value is 0.17, then the probability a person scores above that value equals? d) If the probability that a person scores between...
A population of values has a normal distribution with μ=180.1μ=180.1 and σ=93.4σ=93.4. You intend to draw a random sample of size n=90n=90. Find the probability that a single randomly selected value is greater than 185. P(X > 185) = Find the probability that a sample of size n=90n=90 is randomly selected with a mean greater than 185. P(¯xx¯ > 185) = A population of values has a normal distribution with μ=167.8μ=167.8 and σ=34.4σ=34.4. You intend to draw a random sample...
For a Normal distribution with μ = 11.4 μ = 11.4 and σ = 2.9 σ = 2.9 . What proportion of observations have values less than 17? Upload your image here: Edit Insert Formats Enter your final answer below, Round to 4 decimal places.
A population of values has a normal distribution with μ = 221.5 and σ = 27.5 . You intend to draw a random sample of size n = 160 . Find the probability that a single randomly selected value is less than 223? P(X < 223) = Find the probability that a sample of size n=160n=160 is randomly selected with a mean less than 223. P(M < 223 Enter your answers as numbers accurate to 4 decimal places. Answers obtained...