In a normal distribution, approximately ___ percent of the distribution falls between three standard deviation below the mean and three standard deviations above the mean.
Q: 11. In a normal distribution, approximately 95% of the data are contained within one standard…
A: 11. Empirical Rule: 68% of the values lies between one standard deviation from the mean. 95% of the…
Q: In a normal distribution, the ___________ focuses on 50% of the cases instead of the highest and…
A: Out of all probability distributions, the normal distribution is very popular and widely used for…
Q: In any symmetrical distribution, what percentile would be associated with the mean value? What…
A: For a symmetric distribution, often the mean, median, and mode all occur at the same point.…
Q: Find the 38th percentile of the standard normal distribution.
A: Finding the 38th percentiles of the standard normal distribution In standard normal distribution…
Q: ) In a normal distribution, what is the z- score of an observation that is at the 39th percentile?
A: We have to find z score..
Q: For any normal distribution, the mean, median, and mode will have the same value.
A: Our aim is to find the given statement is true of false
Q: Assume a normal distribution of mean = 35 and standard deviation of 5. Answer the following…
A: a) μ= 35 σ=5 P ( x > 38) = 1- p (x ≤ 38) = 1 - p[ (x-μ)/σ ≤…
Q: In the standard normal distribution, approximately what values of z correspond to the … first and…
A:
Q: Find the 60th percentile of the standard normal distribution and draw the bell curve( round to the…
A: we have to find 60 th percentile..
Q: Which graph represents a normal distribution? а. С b. В C. A d. D Which is true about the standard…
A: We have to choose the correct graph about Normal distribution.
Q: In a normal distribution, percent of the data are above the mean, and percent of the data are below…
A: Empirical rule: For a normal distribution, the approximate values that fall in the specified…
Q: For a normal distribution, what is the probability of being within1 standard deviation of the…
A:
Q: In a normal distribution, exactly ___ percent of all scores fall above the mean, and ___ percent…
A:
Q: In a normal distribution of scores, four participants obtained the following deviation scores:…
A: Given Information: Deviation scores = -1, +2, +3 , -0.15
Q: (d) Is it reasonable to assume that the above data come from a population that follows a normal…
A:
Q: For a normal distribution, find the z-score that separates the highest 30% from the rest of the…
A: Given that P(z>z)=30%=0.3 P(z>z)+P(z<z)=1 P(z<z)=1-0.3=0.7 P(z<z)=0.7 From the Z…
Q: in a normal distribution with mean 3 and variance 49 What are the upper and lower scores for the…
A: We have given that a normal distribution with mean 3 and variance 49.
Q: In a normal distribution, what percentage of the area under the curve is within three standard…
A: We have given the following statement about normal distribution.
Q: A normal distribution curve has an egg shape when plotted. O True O False
A: Normal Distribution Curve The normal distribution is a symmetrical distribution function on both…
Q: The 90th percentile of the standard normal distribution is 1.645. True False The mean is a better…
A: Statement that the 90th percentile of the standard normal distribution is 1.645, is FALSE. Because…
Q: 5. What proportion of a normal distribution is located between the mean and z= -1.40?
A: Here we have to find P(-1.40 < x < 0)
Q: For a normal distribution, the mean is equal to the median. True False
A: The Normal distribution is Symmetric distribution. So, Mean = Median = Mode.
Q: Find the 69th percentile of the standard normal distribution.
A: Let a be the 69th percentile of Standard normal distribution, then: PZ<a=0.69 Using standard…
Q: The sample standard deviation follows a normal distribution if the population follows a normal…
A: We know that- The population follows a normal distribution with mean and standard deviation, the…
Q: For a normal distribution, what z-score value separates the lowest 20% of the distribution from the…
A: The z-score value separates the lowest 20% of the distribution from the highest 80% is, PZ<z=0.20…
Q: The 90th percentile of the standard normal distribution is 1.645. a. true b, false
A: Let z be the 90th percentile of the standard normal distribution.Let,X be a random variable having…
Q: What is the skewness measure (b₁) of a normal distribution?
A:
Q: For a normal distribution, the mode represents the second quartile. True/False
A: Given that We want to tell the a normal distribution, the mode represents the second quartile
Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…
A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08 X~ Normal μ, σ2 To…
Q: makes a distribution a normal distribution?
A: Properties of normal distribution a) The mean , median and mode of a distribution is same it is…
Q: In a left-skewed distribution, which is greater? O a. median O b. standard deviation O c variance O…
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Q: Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What…
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Q: Find the 99th percentile of a normal distribution with mean 5 and variance 1. 1.28 .99 O 1.645 7.33
A: Given that mu =5,s.d =1,p value =0.99
Q: A normal distribution has a mean of 98 and a standard deviation of 9. Find the z-score for a data…
A: Consider the given: Formula for z score- z=Value − meanStandard deviationIt is given…
Q: In a normal distribution, find the proportion of the population within one quarter of a standard…
A: The proportion of the population within one quarter of a standard deviation of the mean.…
Q: The sampling distribution of Pis closely related to the normal distribution. True or False True…
A: Central limit theorem x̄ is the sample mean and E(x̄)=μ and V(x̄)=σ2/n Then x̄ ~ Normal(…
Q: Based on a normal distribution, which score is better? A score 76 on a test for which the mean was…
A: Given data,For A:Score is x=76Mean μ=80sd σ=5For B:Score is x=81Mean μ=86sd σ=6
Q: The z-score measures how many standard deviation a given value is above or below the mean. True or…
A:
Q: High school students across the nation compete in a financial capability challenge each year by…
A: Given: Students who score in the top 19 percent are recognized publicly for their achievement by the…
Q: If a normal distribution has a mean of 60 and a standard deviation of 5, complete the normal…
A:
Q: In a bell-shaped, normal distribution, a. mode = 0 b. median > mean c. median < mean…
A: Given that X~N( μ, sigma^2) In bell shaped normal distribution.
Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…
A: Solution: Let X be the random variable. From the given information, the distribution is normal with…
Q: An opinion poll asks a simple random sample of 1500 adults how they view the state of the economy.…
A: According to the provided information, a survey is done on a random sample (n) of 1500 adults and…
Q: In a standard normal distribution 95% of the data is within +/- _______standard deviations of the…
A: In a standard normal distribution 95% of the data is within +/- _______standard deviations of the…
Q: High school students across the nation compete in a financial capability challenge each year by…
A: In general, z-score denotes the number of standard deviations from the mean.
Q: For the standard normal curve, find the z-score that corresponds to the 90th percentile.
A:
Q: Use Table B to find the proportion of a Standard Normal distribution that is: below −1.42
A: From the provided information, The distribution is standard normal for which mean is 0 and standard…
Q: The 90th percentile of the standard normal distribution is 1.645. True False
A: For standard normal distribution, μ=0 and σ=1 90% percentile means, PZ≤90th percentile value=90%
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