In a standard normal distribution, approximately what percentage of the observations are between 2 and 3 standard deviations from the mean? (A) 2.1% (B) 4.3% (C) 13.5% (D) 27% (E) 95%

Q: Use the table below to find the percentage of data items in a normal distribution that lie a. below…

A: Solution:Percentile reports the percentage of data items in a normal distribution that lies below…

Q: For the following distribution: X P(x) 0 01.30 1 0.346 0.346 0.154 0.026 2|3 4 What is the variance…

A: From the provided information, The probability distribution table is as follow: X P (X) 0 0.130…

Q: What is the variance of the small DATA: 7, 13, 5, 9, 16 a. 4.47

A: The data is given as follows 7 13 5 9 16

Q: Use the normal distribution of SAT critical reading scores for which the mean is 502 and the…

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Q: A population has a mean μ = 88 and a standard deviation a=7. Find the mean and standard deviation of…

A: The mean is 88 and the standard deviation is 7.

Q: In a normal curve, around ______ of the curve falls between -1 and +1 standard deviations of the…

A: empirical rule: approximately 68 -95 -99.7% of data fall within 1 sd -2 sd- 3sd of mean for normal…

Q: What is the best way to evaluate the normal approximation of the variable?   a. Scatter plot…

A: The objective of the question is to identify the best method to evaluate the normal approximation of…

Q: Use the normal distribution of SAT critical reading scores for which the mean is 501 and the…

A: Given that  SAT critical scores are normally distributed. Mean (μ) = 501 Standard deviation (σ) =…

Q: Which distribution is used when doing the classical approach to test the population standard…

A: The t distribution is used for testing the mean.

Q: Assuming normal distribution, a 95% confidence interval for the population mean when n=25 a sample…

A: Confidence interval is an interval such that the probability of the unknown parameter to be included…

Q: For a normal distribution 12% of the items are under 47 and 86% are under 65. Find the corresponding…

A:

Q: Use the empirical rule for finding the percent of data, which are normally distributed, that lie a.…

A: Empirical rule : 68% area covered within 1 standard deviation of the mean. 95% area covered within 2…

Q: You have a normal distribution of test scores with a mean of 100 and an SD of 15. Use the empirical…

A: given data normal distributionμ = 100σ = 15use empirical rule to answer . What range of scores…

Q: (a) Find the sample mean. (Round to two decimal places as needed.) (b) Find the sample standard…

A: here use given sample data  n = 12 (sample)

Q: Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75…

A: We have to fill given blank in probability distribution table...

Q: What is the proportion that lies between the z scores under the normal curve? A. 0.00 and 1.00 B.…

A: Given information- We have given the z-scores and we have to find the proportion that lies between…

Q: What proportion of the normal distribution corresponds to z-score values greater than z = 1.00? a.…

A: Given :  z score >1

Q: The relationship between the mean and the median for the N(0, 1) distribution is: a. mean>median…

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Q: For a population that has a standard deviation of 10​, figure the standard deviation of the…

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Q: The table below shows the frequency distribution of the rainfall on 52 consecutive Wednesdays in a…

A: The frequency distribution of the rainfall on 52 consecutive Wednesdays in a city is,…

Q: Find the values of the 60th, 70th, and 80th percentiles of a normal distribution for which Mean and…

A: Given: mean:  μ=10  standard deviation : σ=10

Q: Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75…

A:

Q: Find the Z-score that describes the following proportions under the normal curve (within 0.01…

A: The area is middle 20%.

Q: Use the standand normal distribution table to determine the percent of data between z=−0.51 and…

A: Given that : z=−0.51  and   z=0.73 By using the standard normal distribution we solve this problem.

Q: Suppose X is distributed according to a normal distribution with mean 120 and variance 81. Find the…

A: The formula for Z score is, Z=x-μσHere μ is the mean and σ is the standard deviation.

Q: Find the mean deviation about mean of rectangular distribution,

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Q: For the standard normal curve, identify the z-score that corresponds to the 33rd percentile.

A: standard normal distributionZ~N(0,1)identify z score that corresponds to 33rd percentile

Q: Use the table below to find the percentage of data items in a normal distribution that lie a. below…

A: P(z < -2.2)     Using z table     =0.0139   answer=1.39%

Q: e the normal distribution of SAT critical reading scores for which the mean 506 and the standard…

A: X~N( μ , ?)μ=506    , ?=125Z-score =( x - μ )/?

Q: Scores on the verbal ability portion of the Graduate Record Examination (GRE) follow a normal…

A: Let X be the verbal ability portion of the Graduate Record Examination (GRE) follow a normal…

Q: For the sample of scores in the following frequency distribution table, what is the standard…

A: Given: n= ∑f=11

Q: Find the z-score boundaries that divide a normal distribution as described in the following. The…

A: Solution: From the given information, 20% area lies in the middle of the normal distribution and 80%…

Q: (d) 24th (e) 14th

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Q: What proportion of the normal distribution is found in the folloing areas? a. Between the mean and…

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Q: The grades of business statistics are normally distributed with mean 80 and standard deviation 10.…

A: GivenMean(μ)=80standard deviation(σ)=10

Q: It is given that the mean and the standard deviation of the loss are -2.8 and 7, respectively. Based…

A: Let X be a random variable such that X: Loss amounts X~N(−2.8,72) Now, 90% VaR is given as…

Q: he largest value of a Normal distribution is attained at the: A. Extremes B. Mean…

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Q: If a class has an average of 71  with a SD of 10, use a Normal Curve to estimate the percent of the…

A:

Q: What percent of items lie within 1.15 standard deviations of the mean (a) in any distribution (using…

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Q: Calculate the standard deviation and variance of the sample data shown, to two decimal places x 1.4…

A: Sample standard deviation: 1.4 1.96 1.3 1.69 21.3 453.69 4.2 17.64 1.9 3.61 15.2…

Q: A. About what percent of the x values from a normal distribution lie within two standard deviations…

A: