X is a normally distributed variable with mean μ = 30 and standard deviation σ = 7. Find P(x > 30)
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- X is a normally distributed variable with mean = 67 and standard deviation = 9 %3D What value of X separates the upper 17.36% of scores from those below X?Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78? (a) Find the area to the right of z = -1 under a standard normal curve. (b) Find the area to the right of z=1 under a standard normal curve. (c) Find the area to the left of z = 1 under a standard normal curve. (d) Find the area between z=-1 and z=1 under a standard normal curve. (e) None of the aboveA distribution with µ = 55 and o = 6 is being standardized so that the new mean and standard deviation will be u = 50 and o = 10. When the distribution is standardized, what value will be obtained for a score of X= 58 from the original distribution?
- A normal distribution has a mean of μμ= 54 and a standard deviation of σσ=6 What is the probability of randomly selecting a score GREATER than 51? A normal distribution has a mean of μμ= 54 and a standard deviation of σσ=6 What is the probability of selecting a sample of n = 4 scores with a mean more than M = 51? A normal distribution has a mean of μμ= 54 and a standard deviation of σσ=6 What is the probability of selecting a sample of n = 36 scores with a mean more than M = 51?A score of X=75 is measured in a population with a mean of μμ=100. A z-score of z=+1.50 is calculated. Without knowing the standard deviation, explain why the z-score of z=+1.50 is incorrect.Find P(27 < X < 32) if X is normally distributed with mean 24 and standard deviation 5.
- The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) ▼ 200 35 | 55 25 30 40 45 50 ( cm) Submit Continue |Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use DIl S0 FB F7 esc F3Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. The accountants of a known auditing firm have a mean daily salary Php 850 with a standard deviation of Php 82. Find the median and the mode, and compare it with the given mean value. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 1σ, µ ± 2σ, µ ± 3σ. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 1σ, ± 2σ, ± 3σ units of the mean, respectively. If an accountant from the firm is chosen at random, what is the probability that he /she earning Php 950 to Php 1,000? What percentage of the accountants will fall in between the salary of Php 300 and Php 500?= 222 mg/dLi and Total cholesterol levels for middle aged men (aged 55 – 64) follow approximately a normal distribution with mean, µ standard deviation, o = 37 mg/dLi. Those with a total cholesterol of 240 mg/dLi or higher have "high" cholesterol (and have twice the risk of coronary heart disease as someone with a total cholesterol less than 200 mg/dLi) Find the Z-score (standard score) for an observation of 290 mg/dl.
- A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation will be u =50 and o=10.When the distribution is standardized,which value will be obtained for a score of x=58 from the original distribution? x=53 x=55 X=58 x=61The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of 17 days. What percentage of pregnancies last fewer than 314 days? P(x < 314 days) = P(z<A random sample of 16 adult male wolves from the Canadian Northwest Territories gave an average weight x₁ = 97 lb with estimated sample standard deviation s₁ = 6.7 lb. Another sample of 26 adult male 14 wolves from Alaska gave an average weight x2 = 88 lb with estimated sample standard deviation $₂ = 7.5 lb. USE SALT (a) Let u represent the population mean weight of adult male wolves from the Northwest Territories, and let μ2 represent the population mean weight of adult male wolves from Alaska. Find a 75% confidence interval for μ1-2. (Round your answers to one decimal place.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 75% level of confidence, does it appear that the average weight of adult male wolves from the Northwest Territories is greater than that of the Alaska wolves? Because the interval contains only…
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