4. If for 21 observations, mean and standard deviations of a variable X are 105 and 13 respectively. Calculate the mean and variance of X + 6.

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A:

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: From the provided information,The population mean (µ) = 116The population standard deviation (σ) =…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Given information Mean = 116 Standard deviation = 14  between 102 and 130

Q: All of the below sets have the same mean.       Set 1-Standard Deviation=3.1       Set 2-Standard…

A:

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: Given dataMean = 116Standard deviation = 14Probability that population would be between 116 and 130…

Q: what if the standard deviation was 30, instead of 60

A:

Q: 1. Suppose that the mean of A is 360 and the standard deviation of A is 40. The mean of B is 45 and…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Suppose a population is known to be normally distributed with a mean, µ, equal to 116 and a standard…

A: Given X is normal Distributed with mean µ = 116.0 and standard deviation σ = 14.0 now will using…

Q: If in a data set the observation 78 has z-score equal -0.60 and the observation 88 has z- score…

A:

Q: If the sum of the weights of a sample of cows is (8568) kilograms and the standard deviation of the…

A: If the sum of the weights of a sample of cows is 8568 kg standard deviation of the weights is 21 kg…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Given information Mean = 116 Standard deviation = 14  between 88 and 116

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: Given dataMean = 116Standard deviation = 14Probability that population would be between 88 and 102…

Q: Suppose a population is known to be normally distributed with a mean, µ, equal to 116 and a standard…

A: We have, Mean μ=116 Standard deviation σ=14 X~N116,14 Now,…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A:

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: 7. If you made only n = 1 measurement of rack height, the standard deviation of the measurement…

A: Solution: 7. From the given information, n = 1.

Q: If 40 is added to cach of a set ofr 25 values, the Coefficient of Variation changes to 40 % and if…

A:

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Obtain the standard z-score for X equals 88. The standard z-score for X equals 88 is obtained below:…

Q: What is the Z value for a value of X = 60?

A:

Q: Suppose that the mean of a set of data is 50.2 and the standard deviation is 4.2.  Assume that the…

A: Given  μ=50.2, σ=4.2, h=5.1  We want to find the new mean and standard deviation.

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…

Q: Suppose the exam average in a class is 48% with a standard deviation of 15. What proportion of…

A:

Q: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a…

A:

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: Given information Mean = 144 Standard deviation = 27  between 90 and 171

Q: If the standard deviation of a data is 14.50 and if each value of the data is decreased by 5, then…

A: Given : Old standard deviation = 14.50

Q: If the mean of 7 observations is 5 , and the deviations of these observations about their mean are :…

A: We have to find median of data.

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: Mean = 144 Standard deviation  = 27

Q: Given that the mean for a data set is 24.8 and the standard deviation is 2.3, find the z-score of…

A: It ia given that Mean = 24.8 SD = 2.3 Value X = 27

Q: Suppose a population is known to be normally distributed with a mean, µ, equal to 116 and a standard…

A: Let X denote the distribution of population. Given that X ~ N(mean = 116, SD = 14) Then Z = (X -…

Q: Give two situations in which comparing two population standard deviations would be important

A: Two situations in which comparing two population standard deviations would be important is obtained…

Q: If the coefficient of variation is 1% and the mean is 3.2, determine standard deviation (to four…

A: We have given that Mean(x̅) = 3.2 CV = 0.01

Q: If a variable has a mean of 53, a median of 62, and a standard deviation of 4, What is its skewness?

A: The formula to find skewness is given below:

Q: Suppose the scores of students on a Statistics course are Normally distributed with a mean of 440…

A:

Q: If the mean I.Q. is 100 and the standard deviation of I.Q. scores is 15, then an I.Q. of 130 will…

A:

Q: For a set of data, μ = 71, X=35, z = -0.60. What is the standard deviation of the population?

A: Given that.   X~N( μ , ?^2 )   μ=71   , ?=?  , X=35 , z=-0.60   Z-score =( x - μ )/?

Q: Find and Stondard deviation X. mean of

A: Let , the probability density function of X is given below, = 0 ; otherwise Our aim is to find the…

Q: If the true mean is 9590 with the standard deviation of 0.0080 within what interval will 98% of…

A: Given that , True mean = 9590 Standard Deviation = 0.0080

Q: If a number is added to a data set which is far away from the arithmetic mean the what happens to…

A: There are two properties regarding the addition of a number to a data set and its effect on standard…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: From the information, the mean is 116 and a standard deviation is 14.

Q: 4. Show that mean deviation about mean is

A:

Q: 2.5% Of scores on a normally distributed college entrance test or below 60% and 2.5% of the scores…

A:

Q: Suppose a population is known to be normally distributed with a mean, µ, equal to 116 and a standard…

A: Answer - A Normal distribution with a mean μ = 116  and a standard deviation σ = 14…

Q: If the mean of x bar is equal to 4.2 and the standard deviation of x bar is .10, what is the percent…

A:

Q: if mean is 72 and standard deviation is 8 what is  P( x ≤ 78)

A: Given that.   X~N( μ , ?^2 )   μ=72    , ?=8   Z-score =( x - μ )/?

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: From the provided information,

Q: The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals

A: Givenvariance(σ2)=576

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: Given data A population is normally distributed with mean equal to 144 and standard deviation equal…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Consider that X is a random variable defined as the population, which is normally distributed.The…

Q: Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?

A: from given distribution in question,   mean :-μ=3 standard deviation :-σ=1.2 X is two standard…