1) The laser offset is known to have a normal distribution with population mean of 100 nm and population standard deviation of 2 nm. ii) What proportion of the laser offset will be shorter than 98 nm?
Q: Suppose a variable is Normally distributed with μ=345 and \sigma σ=30. What proportion of the data…
A: Mean(µ) = 345Standard deviations (σ) = 30X ~ N (µ, σ )= N(345, 30)
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Q: Suppose a variable is Normally distributed with μ=345 and \sigma σ=30. What proportion of the data…
A: Let X be the random variable from normal distribution with mean (μ) = 345 and standard deviation (σ)…
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Q: uppose x has a distribution with a mean of 90 and a standard deviation of 27. Random samples of…
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A: Normal distributionμ=100σ=15we draw empherical graph
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Q: 1) The laser offset is known to have a normal distribution with population mean of 100 nm and…
A:
Q: Suppose we randomly selected twelve children who fathers died of heart failure and found their mean…
A: Given that Sample size n =12 Sample mean=200 Standard deviation =50
Q: A variable of a population has a mean of μ=100 and a standard deviation of σ=27 The sampling…
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Q: Suppose X is Normally distributed with mean 25 and standard deviation 4. Suppose Y is Normally…
A: given data X : normal distributionμx = 25σx = 4Y : normal distributionμy = 30σy = 5
Q: 7. Suppose the length of newborn babies in a community is normally distributed with an average of 50…
A: We have given that Mean=mu=50 Standard deviation=sigma=3 X~Normal(mu=50,sigma=3)
Q: 6) A normal distribution has mean 500 and variance 2500. Find the area under the normal curv the…
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Q: Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution…
A: Construct the empirical rule graph. The empirical rule graph is constructed below as follows:
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- Suppose x has a distribution with a mean of 90 and a standard deviation of 12. Tandom samples of size n=64 are drawn. Describe the x distribution and compute the mean and standard deviation of the distribution.5 c.)To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
- Mr. Matar Al Maqbali measured the concentration of Zinc ion in the wastewater received from Industrial samples on daily basis. He has drawn and consider a Gaussian distribution curve with a population mean of 10.254 mg/L and a population standard deviation of 0.155 mg/L. Find the fraction of measurements expected between 10.525 and 10.575 mg/L if many measurements are made.The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter. If in a couple of years, the mean and the standard deviation of the nished inside diameter of a piston ring change both to dierent values μ and σ, what proportion of rings will have inside diameters exceeding μ + 2.5σ?5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
- The boiling point of 16 samples of a certain brand of hydrogenated vegetable oil used in a fryer was collected, resulting in Xbar=152.1 degrees. Assume that the distribution of melting point is normal with o=3.20. If the boiling point is different than 150 degrees, then either the oil will be too hot and will burn food or it will be too cool and will not properly cook the food. Is the sample mean significantly different from the target of 150 degrees? Use alpha=0.01 Но: H1: Define critical (rejection) region(s): Calculate the appropriate test statistic: What decision do we make? What this decision means in terms of this problem?Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. Compute the Z-score for a boy with height of 150 cm and find the correct interpretations. a. Boy's height is 0.71 standard deviation lower the national average b. Boy's height is 1.71 standard deviation above the national average c. Boy's height is 1.71 standard deviation lower than the national average d. Boy's height is 2.71 standard deviation above the national average2. Suppose the chamber of commerce at Pyramid Lake advertises that the average length of trout caught at the lake is μ = 19 inches. However, a fishing magazine survey reported that for a random sample of 51 fish caught, the mean length was x = 18.5 inches with estimated standard deviation s = 3.2 inches. Do these data indicate that the average length of the trout caught at Pyramid Lake is less than μ = 10 inches? (Use α = 0.05)
- The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) u and standard deviation o = 0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 15 cigarettes of this brand. The sample yields an average of 1.6 mg of nicotine. Conduct a test using a significance level of a = 0.05. (a) The standardized test statistic (b) The critical value (endpoint of Rejection Region) is z* = (c) The final conclusion is OA. The nicotine content is probably higher than advertised. B. There is not sufficient evidence to show that the ad is misleading.A certain variable has a bell-shaped distribution with mean μ=176.16μ=176.16 and standard deviation σ=4.9σ=4.9. You observe a value of x=184x=184. Is this a TYPICAL value of the variable (within 2 standard deviations of the mean), or an UNUSUAL one (more than 2 standard deviations from the mean)?The lifetime of a Michelin defender tire (in thousands of miles) is normally distributed with mean μ = 41 and standard deviation σ = 7. What proportion of Michelin tires have lifetimes between 35 and 47 thousand miles?
