The percentage of area under the normal curve between the mean and
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Q: About what percentage of a normal distribution falls within 2.5 standard deviations of the mean?
A: 98.76 percentage of a normal distribution falls within 2.5 standard deviations of the mean
Q: In a normal distribution, what percentage of the population lies with-in 1 standard deviation of the…
A: In a normal distribution, there are predefined percentage of the population which lies in 1 standard…
Q: A normal distribution has a mean of 61 and a standard deviation of 15. What is the median
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Q: Approximately what percentage of normally distributed data values will fall within 2 standard…
A: It is known that, normal curve is a symmetric and bell shaped distribution.
Q: The achievement scores for a college examination are normally distributed with mean 75 and standard…
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Q: Approximately what percent of a normal distribution lies between μ+1σ and μ+2σ?
A: Solution: 3. Here, it is needed to find the percentage of a normal distribution lies between µ+1σ…
Q: 16.)Find the percent of the area under a normal curve between the mean and the given number of…
A: Since z-value for mean is 0. So the area under a normal curve between the mean and the given number…
Q: A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that…
A: The mean is 15, and standard deviation is 2. That is, μ=15,σ=2. Let x be the value that corresponds…
Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…
A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…
Q: Scores on the SAT form a normal distribution with a mean of 500 and standard deviation of 100. If…
A: We have to find the proportion of people who will be accepted.
Q: What proportion of a normal distribution is located between the mean and z = 1.40?
A: From the given information, Mean of standard normal distribution is zero and standard deviation is…
Q: What proportion of a normal distribution is located between the mean and z = –1.40?
A: Standardized z-score: The standardized z-score represents the number of standard deviations the…
Q: The score on a college entrance exam have an approximate normal distribution with mean 52 and…
A: given mean μ=52and standard deviation σ =11
Q: In a normal distribution, approximately what percent of data items fall within 1 standard deviation…
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: According to the empirical rule, approximately what percentage of the area under a normal…
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Q: According to the empirical rule, approximately what percentage of the area under a normal…
A: The empirical rule, also referred to as the three sigma rule or 68-95-99.7 rule, Empirical rule is…
Q: According to the empirical rule, approximately what percentage of the area under a normal…
A: The empirical rule is based on the normal distribution which shows the area under the normal curve…
Q: According to the empirical rule, approximately what percentage of the area under a normal…
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Q: On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3.…
A: If 95% lies in the middle then (100-95)%=5% are on the two tails. So one tail has = 5%2=2.5%=0.025z…
Q: About what percent of x-values from a normal distribution lie within two standard deviations (left…
A: The empirical rule (68-95-99.7): It is used only for the normal distribution with specified mean…
Q: Scores on the SAT form a normal distribution with a mean of 500 with a standard deviation of 100. If…
A: Let X be the sat score in the state college. X follows normal distribution that has mean µ = 500 and…
Q: On a standard normal distribution, what percentage of scores lie within 2.89 standard deviations on…
A: We need to find the scores that lie within 2.89 standard deviations.
Q: What proportion of scores are below z-score of a +1.00 in a normal distribution?
A: Standard normal distribution: The standard normal distribution is a special case of normal…
Q: For the standard normal distribution, what percent of the area lies within two standard deviations…
A: We know that from the Empirical rule of the standard normal distribution- 68% of the data lies in…
Q: What proportion of scores are above z score of 0 in a normal distribution?
A: From the provided information, The proportion of scores are above z score of 0 in a normal…
Q: On a test that has a normal distribution, a score of 60 falls one standard deviation above the mean,…
A: Given that the test score has Normally distributed. A score of 60 falls one standard deviation…
Q: Approximately what percentage of normally distributed data will fall within 2 standard deviations…
A: Based on the Concept of Empirical Rule: About 68% of the area under the curve falls within 1…
Q: Approximately what percentage of normally distributed data will fall within 2 standard deviations…
A: Normal distribution is a symmetric bell shaped distribution.
Q: What proportion of scores are below z score of 1.0 in a normal distribution?
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Q: What proportion of scores are below z score of 1.0 in a normal distribution?
A: Observe the value in the z-table corresponding to the (z=1.0) to obtain the area of the left side of…
Q: What happens to the graph of the normal curve as the mean increases?
A: The graph of the normal curve as the mean increases.
Q: A normal distribution has a mean of 93 and a standard deviation of 9. Find the z-score for a data…
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Q: On a standard normal distribution, what percentage of scores lie within 2.94 standard deviations on…
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: .The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standard…
A: Given that,
Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…
A: Given that the mean is 35 minutes and standard deviation is 12 minutes. That is, μ=35 and σ=12 Let…
Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…
A: The probability between two specific numbers a and b in a normal distribution with mean μ and…
Q: For the standard normal curve, what percentage of data is located between ¥-2 0 and ¥+20?
A: Note: Thank you for the question. Since notations are not clear to us, we have considered it as μ-2σ…
Q: The percentage of area under the normal curve between the mean and -0.1 standard deviations from the…
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Q: The mean score in a test is normally distributed with mean 30 and standard deviation 10. What is…
A: Given : Mean, μ = 30 standard deviation, σ = 10 x = 55
Q: A normal distribution has a mean of 104 and a standard deviation of 5. Find the z-score for a data…
A: we have given that X is a normally distributed. mu=104 ,sigma=5 X~N(mu=104 ,sigma^2= 25)
Q: In a normal distribution, approximately ___ percent of the distribution falls between three standard…
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Q: Heights of college women have a distribution that can be approximated by a normal curve with a mean…
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Q: 2) The height of women in the United States fits a normal distribution with a mean height of 64.5…
A: using:- The table below shows Z values for commonly used percentiles. Percentile Z 1st…
Q: At Thomas Nelson Community College, the Pre-Test for Mathematics has 200 points on the test. The…
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Q: A normal distribution has a mean of 0.40 and standard deviation of 0.028. According to the Empirical…
A: We have given that, X is random variable are normally distributed with mean (mu) = 0.40 and…
Q: Chebyshev's Theorem states that the percentage of measurements in a data set that fall within three…
A: The Chebyshev's theorem provides bounds on the probability for distributions for which mean and…
Q: The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222 milligrams…
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Q: Scores on a biology test have an average of 80 with a standard deviation of 6. What is the z-score…
A: using the concept of Z-Score we have...
Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≥ 90?
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Q: Scores on a biology test have an average of 80 with a standard deviation of 6. What is the z-score…
A: Given dataμ=80σ=6x=75z=?