Find the probability that a normal variable takes on values more than 1/6 standard deviations away from its mean.
Q: What is the probability that an individual's clotting time will be less than 3 seconds or greater…
A: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. here X =…
Q: Prove that normalized data results in the data that has a mean of 0 and standard deviation of 1
A: Given information: Normalized data that has a mean of 0 and standard deviation of 1.
Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…
A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…
Q: The effect of a medication can be evaluated by how many days the patient recovered. 10 patients are…
A: Test for Standard deviation: The χ2 Chi-Square test is used to test the significance difference…
Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…
A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…
Q: Coke recently hired a consulting firm to see how well their products are doing on the market. In the…
A: Given : Mean = μ = 5149 Standard deviation = σ = 252
Q: tandard error of the mean is used in the
A: Given that Estimated Standard error of the mean We know that Standard error of the mean is used…
Q: Compute the standard score (Z-score) for x, when x = 40, the mean of the distribution = 50, and the…
A:
Q: According to a recent report, people smile an average of u=62 times per day. Assuming that the…
A: Let "X" be the average number of times that people smile in a day.
Q: Show that X is a sufficient estimator of the mean u of a normal population with the known variance…
A: X~N(μ,σ2)
Q: Suppose that the random variable X has a normal distribution with mean 0 and variance 800. What is…
A: given the random variable X follows normal distribution mean(μ) =0variance =800we know the formula…
Q: A normal distribution has a mean of 130 and a standard deviation of 4. Fing the z-score for a data…
A: The mean is 130 and the standard deviation is 4.
Q: The IQ of 1,000 incoming students at University of Bayabas is normally distributed with a mean of…
A: Mean = 103 Standard deviation=10
Q: A study shows that the intelligence quotient (IQ) of adults in a country follows a normal…
A:
Q: Assume that a normal distribution of data has a mean of 18 and a standard deviation of 4 Use the…
A:
Q: suppose random variable x has a normal distribution with a mean of 10 and a variance of 16.…
A: Given that X follows a normal distribution with mean=10 and variance=16. So standard…
Q: Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean…
A:
Q: Suppose that the life-span of goldfish can be modeled by the Normal Distribution with a mean of 5…
A:
Q: A researcher wants to know the lifetime of a "BL" brand lamp. For necessity research, it takes 9…
A: Given : Population Mean life , μ = 1500 hrs Population standard deviation , σ = 111 hrs
Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…
A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…
Q: The lifespan of a certain light bulb in (hours) is a Normal model of (400,10) What do the standard…
A: From the provided information, The lifespan of a certain light bulb follows Normal model (400, 10).
Q: One of the characteristics of a standard normal curve is that its variance and standard deviation is…
A: We want to tell you which one is the correct choice
Q: For a population with = 150, a raw score of X = 125 corresponds to z = -2.00. What is the standard…
A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…
Q: The scores on a test in a particular class follow a Normal distribution with mean μ=140 and standard…
A: We have given that Normal distribution with mean μ=140 and standard deviation σ=23 Find P(X<181)
Q: the mean of a random sample of size n= 25 is used to estimate the mean of an entire population that…
A:
Q: X is a normal variable with mean of 8 and variance of 97. What is the z-score when x = 3?
A:
Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…
A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…
Q: When standardizing, the mean becomes 0 and the standard deviation becomes 1. True
A: The formula for standard normal score is, z=x-μσHere μ is the mean andσ is the standard deviation.
Q: The mean of the winning scores of a bowling tournament over the last 10 years was 279, with a…
A: The formula to compute z score is, The probability is computed using standard normal table.
Q: The scores on a distribution have a normal distribution with mean 65. Suppose the third quartile…
A: It is given that the mean and third quartile of the normal distribution is 65 and 75 repectively.…
Q: The scores on a college entrance test have an approximately normal distribution with mean, µ = 84…
A: The z score is also known as standard normal variate. If the population mean and population variance…
Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…
A:
Q: Suppose that a recent article stated the mean time spent in jail by a first-time convicted burglar…
A: Given :μ=2.7x¯=3.01s=1.78n=27α=0.1The hypotheses for the relevant test is :H0:μ=2.7 H0:μ>2.7…
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- A random variable is normally distributed with mean 84.2 and standard deviation 17.5. What value is 2 standard deviations below the mean?Find the probability that a normal variable takes on values more than 1 6 standard deviations away from its mean.High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. What proportion of healthy males has HDL exceeding 60?
- What happens to the standard deviation if the differences between the mean and data values are small? A SD is large. B SD is small. © SD is undetermined. D SD is zero.According to the Empirical Rule, in a Normal Distribution of data you will have percent of the data within 1 standard deviation of the mean, percent of the data within 2 standard deviation of the mean, and percent of the data within 3 standard deviation of the mean.Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)
- A manufacturer of car batteries claims that the life of his batteries have a standard deviation equal to 0.9 years if a random sample of 10 of these batteries have a standard deviation of 14.4 months do you think that population standard deviation exceeds 0.81 years. Explain your results.Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.7 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.7. Both women's and men's reach from this position is normally distributed. If this design is implemented, (a) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table.Suppose the length of human pregnancies from conception to birth varies according to a distribution that is normal with mean of 266 days and standard deviation of “alpha”. 11.7% of pregnancies last 284 days or more, find the variance of the distribution .
- Suppose that the mean IQ score for University Students is 105, with a standard deviation of 7. Assuming a normal distribution, what are the cutoffs that will capture those people who are within one standard deviation of the mean?A sample of n = 9 scores has a variance of s2 = 144. What is the standard deviation for this sample?
