Given an approximately normal distribution with a mean of 175 and a standard deviation of 37, identify the 20th percentile to the nearest tenth. The value representing the 20th percentile is

Q: Given a sample data set with a Standard Deviation of 1.4, what is the Variance of the data set.?…

A: The given value of sample standard deviation is, s = 1.4 Using the standard deviation, the formula…

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: On a statistics exam, the mean score was 80 and there was a standard deviation of 7. If a student's…

A: Given data, μ=80σ=7If x=92z=?

Q: Find the number of boys and the combined standard deviation

A: Given :  Our aim is to find the number of boys and combined standard deviation.

Q: Given a uniform distribution with endpoints 4 and 22: What is the mean?        What is the…

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Q: In a normal distribution, approximately ___ percent of the distribution falls between three standard…

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Q: Use the normal distribution of IQ​ scores, which has a mean of 105 and a standard deviation of 13​,…

A: GivenMean(μ)=105standard deviation(σ)=13

Q: Find the mean, mode and standard deviation of the distribution.

A: Given: f(x)=1x2πe-12logx2      for x>0       =0  for  x<0

Q: For any normal distribution, about 68 % of the data lie within one standard deviation of the mean.…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: Below is the graph of a normal distribution with mean = standard deviation o = 84 and 2.4

A: Given Information: A graph of a normal distribution with mean μ = 84 and standard deviation σ=2.4 To…

Q: A normal distribution has a mean of 62 and a standard deviation of 12. What is the median?

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Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: If the range of a data set is 56, find the approximate value of the standard deviation, using the…

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Q: For a normal distribution with a mean of µ = 80 and a standard deviation of σ = 10, what is p(X<95)?…

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Q: 9) In a class of 30 students, how many students failed the test (below 64), if the mean grade on a…

A:

Q: given a normal distribution with mean of 40 and standard deviation of 6, find

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Q: Write the steps of calculating the population standard deviation.

A: Standard deviation: The standard deviation is based on how much each observation deviates from a…

Q: In a normal distribution, about what percent of the data lies within one, two, and three standard…

A: We have to determine the percentage between (mean - SD, mean + SD), (mean - 2SD, mean + 2SD) and…

Q: Consider a test of coordination that has a normal distribution, a mean of 60 and a standard…

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Q: A data set with roughly a bell-shaped distribution has mean 45 and standard deviation 12.…

A: The percentage of the observations lie between 33 and 57 is obtained below:Let X be an observation…

Q: Given a sample data set with a Standard Deviation of 1.34, what is the Variance of the data set.?…

A: We have to find variance.

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: If you score 76 on a commercial pilot exam that has a mean score of 70 and a standard deviation of…

A: We have to find given percentile ....

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&lt;45)=0.31 P(x&gt;64)=0.08   X~ Normal μ, σ2   To…

Q: A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?

A: Given, A normal distribution has mean of 61 and standard deviation of 15. Properties of normal…

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: On a normal distribution, at what percentage must a. The mean fall? b. The median fall? c. The…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: In a normal distribution, find the proportion of the population within three fifths of a standard…

A: We have to find out given proportion..

Q: If a normal distribution has a mean of 18.0 and a standard deviation of 1.2, what value is at the…

A: We have given that normal distribution has a mean of 18.0 and a standard deviation of 1.2.

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: What percentage of a population typically lands within two standard deviations of the mean under a…

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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 height of men in the United states fits with a normal distribution with a mean of 70 inches and…

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Q: At the local liquour store, a single purchase approximately follows a normal distribution with a…

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Q: A standardized test has a mean of 50 and a standard deviation of 4. Which of the following is the…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: The percentage of observations that are contained within 3 standard deviations of the mean is O a.…

A: As per the empirical rule for normal distribution, 68%, 95%, and 99.7% of the values lie within one,…

Q: If the mean is two, and the standard deviation is one, would a value of five be considered…

A: Unusual values : Unusual values should be lie outside the 2 standard deviation from the mean.   i.e.…

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: If a normal distribution has a mean of 60 and a standard deviation of 5, complete the normal…

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Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: What percent of the distribution is included within 1.75 standard deviation? *

A: here use chebyshev's theorem for given problem

Q: According to the Department of Education the mean number of hours college students spend studying…

A:

Q: Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 85?

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Q: According to Chebyshev's Rule, at least what percent of observations must be within 2.5 standard…

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Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of…

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Q: The variance in a data set is 427. Find the standard deviation. Round to two decimals.

A: The random variable is X. It is given that the variance is 427. We have to find the standard…

Q: In a distribution with a mean of 80 and a standard deviation of 8, what percentage of number would…

A: a. The mean is 80, and standard deviation is 8. The percentage of number would be less than 64 or…