Suppose a random variable x is best described by a normal distribution with = 60 and o=4. Find the Z-score that corresponds to the value x = 64. 1 15 64

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard…

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Q: Suppose X is the time it takes a randomly chosen clerical worker to type and send a standard letter…

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Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: Suppose that a distribution of 400 items has mean 130 and standard deviation 5. Find the​ z-score of…

A: Given that.   X~N( μ , ?)   μ=130     , ?=5  , x=143   Z-score =( x - μ )/?

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: Under what conditions can the mean of the sample be treated as a value that is from a population…

A: From the above data  under what conditions can the mean of the sample be treated as a value that is…

Q: The random variable X has a uniform distribution with values between 11 and 21. What is the mean…

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Q: Suppose z is a normal random variable. If you need to find P ( Z > 1.84 ), explain how to shade the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ, where µ and σ are the mean…

Q: Suppose you have a normal distribution with a mean of 10 and a standard deviation of 2.…

A: According to the given information, we have Given that the normal distribution with a mean of 10 and…

Q: A normal distribution has a mean of u = 87 with o = 6. If one score is randomly selected from this…

A: Given:  Random variable x from normal distribution with mean mu=87 amd standard deviations=6  Then…

Q: he results of a statistics examination follow an approximately normal distribution with a mean of 68…

A: Given data,Mean μ=68Variance σ2=64sd     σ=8P(X>82)=?

Q: In a Binomial distribution mean 4 and variance is 2. Find the mode of %3D Binomial distribution.

A: Given that Mean = 4, Variance = 2 Find Mode = ?

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: any normal distribution, a z-score of z = -1 separates the highest 68% of the scores from the rest…

A: Given that  A z-score of z = -1 separates the highest 68% of the scores from the rest of the…

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: A normal distribution has a mean of u = 100 with 0 = 20. If one score is randomly selected from this…

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Q: Compute the standard score (Z-score) for x, when x = 40, the mean of the distribution = 50, and the…

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Q: A normal distribution has a mean of mu = 80 with o = 20. What score separates the lowest 30% of the…

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Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: What percentage of a normal distribution falls between z = -1.16 and z = +1.16?

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: What percentage of scores in a normal distribution fall at or above a z score of 1.04?

A: given data  normal distribution percentage of scores above Z:1.04 = ?

Q: An IQ of 140 is converted into a z-score of z=1.40. what proportion of the normal distribution is…

A: Given : An IQ of 140 is converted into a z-score of  Z = 1.40

Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the probability…

A: A normal distribution (X) has a mean of 100 and a standard deviation of 10.

Q: A random variable Y has normal distribution with a mean of 80 and a standard deviation of 15.  What…

A: Mean()=80Standard deviation()=15

Q: The distribution of sample means tends to be a normal distribution. true or false?

A: This question explores the characteristics of the distribution of sample means. Specifically, it…

Q: If a sample is randomly collected, we can be assured that the data follows a normal distribution.…

A: We know that ;  Any randomly collected data follows normal distribution if and only if data set must…

Q: An original population of scores with a mean = 50 and SD = 6 is standardized to create a new…

A: given data  1 represents original population 2 reperesents new distributionμ1 = 50μ2 = 80σ1 = 6σ2 =…

Q: For a normal distribution of negative Z score means tha

A: Z-score value is negative.

Q: What proportion of a normal distribution is located between the mean and z = -0.47?

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Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

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Q: What proportion of a normal distribution is located between the mean and z = 2.00?

A: proportion of a normal distribution is located between the mean and z = 2.00

Q: Suppose X has a normal distribution with mean 30 and standard deviation five. Between what values of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

Q: normal distribution has a mean of u = 58 and a standard deviation of o = 12.

A: Given that  Normal distribution with Mean (μ) = 58 standard deviation (σ) = 12 We know that…