The mean and standard deviation of a set of 100 observations were Worked out as 40 and 5 respectively by a computer which by mistake took the value 50 in Place of 40 for one observation. Find the correct mean and variance.

Q: If the variance of the recorded weights of nine basketball players is 2.36, what is the value of the…

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Q: the variance and standard deviation are based on the________________?

A: Variance, standard deviation and mean deviation:Variance is the average of squared difference of…

Q: Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2…

A: The z score for the population value of 50 is -1 and the z score for the population value of 80 is…

Q: Suppose a population has a mean of 100 and a standard deviation of 15. If repeated samples of size…

A: Given: n = 25 σ=15μ=100 The standard deviation of the sample means can be calculated as: σX=σn

Q: The mean and standard deviation of 200 items are found to be 60 and 20 respectively. If at the time…

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Q: Dr. Samwell Tarly wants to estimate the number of books checked out of the library in the past year.…

A: It is given that the mean is 10,000 and the standard deviation is 10.

Q: Suppose that weights of 3200 registered female great Danes in the United States are distributed…

A: Using normalised probability and z table

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

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Q: Suppose that the scores on a reading ability test are normally distributed with a mean of  60  and…

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Q: If each score is increased by 25, what will be the mean and standard deviation of the distribution…

A: Given that  The distribution of raw scores on particular achievement test Mean = 500 Standard…

Q: heights of adult women in the United States are normally distributed with a mean of 65 inches and a…

A: The z score can be calculated as: z=x-μσ The required z score that is associated with the top 10% or…

Q: If an adult male is told that his height is within 2 standard deviations of the mean of the normal…

A: If an adult male is told that his height is within 2 standard deviations of the mean.

Q: Suppose you are told that a computer programmer in Portugal who makes $809.40 has a z-score of -0.50…

A: Solution: It is given that a computer programmer in Portugal who makes $809.40 has a z-score of…

Q: If the mean is seven and the standard deviation is two, what value is three standard deviations to…

A: It is given that the The mean is 7 and the standard deviation is 2 i.e. μ =7 and σ =2. We have to…

Q: The variance of a sample of 99 observations equals 81. The standard deviation of the sample equals?

A: From the provided information, The sample variance of 99 observations (s2) = 81

Q: the average final examination scores produced by the two methods are different if the population…

A: Let sample 1 for method A and sample 2 for method B. Given: n1=40, n2=36x1¯=78, x2¯=74σ1=5, σ2=5

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The principal decided that the top 30% of the class with the highest grades in statistics will be…

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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: 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: A population has a mean of 75 and a standard deviation of 15. If you randomly sample 9 people from…

A: Mean = 75 Standard deviation = 15 Sample size = 9

Q: If I have the variance of 36 and the standard deviation of 6, how do I calculate the range?

A: From the provided information, Variance (σ2) = 36 Standard deviation (σ) = 6

Q: Suppose that for a random sample , the mean is 4 and the coefficient of variation is 87.5 % then the…

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Q: The mean and standard deviation of 20 items was found to be 10 and 2 respectively. Later it was…

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Q: if the variance of the water temperature in a lake is 28°, then for how many days would a researcher…

A: It is given that margin of error (E) is 3 and the confidence level is 99%.

Q: The coefficient of variant of the height of 20 people is 15% and the weight of the same 20 mean…

A: The formula for coefficient of variation is, CV = (σ/ µ) × 100%, where σ is the population standard…

Q: A population has µ = 50 and o - 5. If 10 points are added to every score in the population, what are…

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Q: For a group of 100 candidates the mean and standard deviation of their marks were found to be 60 and…

A: 1] n=100 2] X¯=603] Standrd deviation σ=154] σ2=225

Q: A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard…

A: Given statistics:Consider the variable x represents the distance scores in yards.The given…

Q: The value of the standard deviation will always exceed that of the variance. TRUE OR FALSE

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Q: A population has a mean of μ = 100, a variance of σ2 = 9, and a standard deviation of σ = 3.  The…

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Q: If this is sample data, the sample variance is v and the sample standard deviation is If this is…

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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: A student obtained the mean and standard deviation of 100 observations as 40 and 5 respectively. It…

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Q: Imagine a scenario where 100 people complete a self-esteem measure. Assume the standard deviation of…

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Q: If the mean is 8.35, and the standard deviation is 2.5, what will be the answer to this? How many…

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Q: The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as…

A: Given that, sample size =n =20 x¯=20, s=5 1. we know that, x¯=20, so, x¯=20⇒∑xn=20⇒∑x=20×20=400 2.…

Q: What is the standard deviation of a sample of 120 observations, if the variance of the sample 2.56?

A: It is given that the variance of the sample is 2.56.

Q: The variance of a sample of 81 observations equals 64. what is  standard deviation of the sample ?

A: Given data ,no of samples n=81Variance σ2=64Std. deviation σ= ?

Q: In most cases, if you have the variance, how do you compute standard deviation?

A: We have the variance, how do you compute standard deviation.  We use here the formula of variance to…

Q: A Physics test has a mean of 150 and a standard deviation of 12.  A Geography test has a mean of 46…

A: Solution: Let X be the physics test and Y be the geography test. From the given information, X has…

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

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

A: Givenvariance(σ2)=576

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

A: Given that  Population Mean=4.8  Standard deviation=0.75 Sample size=60

Q: Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample…

A: Formula : The standard error of the mean  : σ_x̄ = σ/√n

Q: If the variance of a national accounting examination is 900, how large a sample is needed to…

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Q: In order to have the standard error of the mean be 6, one from a would need to take a sample of size…

A: Given ,standard error=6Standard deviation (σ)=42

Q: IF THE VARIANCE OF A POPULATION IS 0.75, THE STANDARD DEVIATION MUST BE?

A: It is an important part of statistics . It is widely used .

Q: there are 75 students in the class and 20 students are getting a+ grade in the class find the mean…

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Q: A population has μ = 50 and σ = 5. If 10 points are added to every score in the population, what are…

A: Consider, (µ) = 50 and (σ) = 5 Let, X be the scores of the population. If 10 points are added to…