Show that the sum of the deviations of values from their mean is Zero: 1.3, 7.0, 3.6, 4.1, 5.0

Q: A food critic wishes to estimate the weights of premium steaks at a five star Texas style…

A: From the provided information, Confidence level = 90% Margin of error (E) = 6 ounces Standard…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

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Q: What is the mean of a distribution that has a standard deviation of 16.5 if a PERFORMANCE value of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: The data set has 250 observations and has mean 100 and standard deviation 16. Approximately how many…

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Q: What is the z score of x=30 if x is three deviations to the left of the mean?

A: From the provided information, x = 30 and it is three deviations to the left of the mean.

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The mean of a set of data is 108.06 and its standard deviation is 115.45 What is the z score for a…

A: Z-score = 3.3045 answer.

Q: A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z =…

A: z-score of z = - 2 is -7.55 Reason: z-score of z = - 2=-2-meanstandard deviation=-2-30040=-7.55

Q: The scores of the students in the final examination in Advanced Algebra are normally distributed…

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Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 lbs with a…

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

Q: A sample of the number of sick days used by employees at a clinic is as indicated: 0,    0,    1,…

A: Given data 0,0,1,1,2,4

Q: Calculate number of items for which r = 0.8, Ʃxy=200. Standard deviation of y =5 and Ʃ x2= 100…

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Q: The sum of deviations (of actual observations) around the mean are always equal to zero TRUE OR…

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Q: Assume that z scores are normally distributed with a mean 0 and a standard deviation of 1. If Pl - b…

A: # z be the standard normal variates with mean 0 and standard deviations 1  To find value of b such…

Q: . A distribution has a coefficient of variation of 65% and mean of 47. What is the value of the…

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Q: Suppose that you have a X= 75 on an exam with Ú=70. Which standard deviation would give you a better…

A: Given : Suppose that you have a X= 75 on an exam with Ú=70

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: A class of 25 statistics students has a mean exam score of 80 with a standard deviation of 6 points.…

A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we…

Q: The mean difference equals 1.2, the standard deviation of the difference equals 1.5, and n equals…

A: It is given that mean difference is 1.2, the standard deviation of the difference is 1.5 and the…

Q: Write down the formulas for the standard deviation of x.

A: The formula for the sample standard deviation can be written as: Here, n is the sample size and x̅…

Q: The standard error of the mean is essentially the standard deviation but used when you are comparing…

A: Here use basic of standard error

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

Q: A distribution of exam scores has a mean of μ=80. If your score is X = 74, which standard deviation…

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Q: Morgan earned a score of 275 on Exam A that had a mean of 300 and a standard deviation of 25. She is…

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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…

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Q: The data set has 80 observations and has mean 30 and standard deviation 5. Approximately how many…

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Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 20.…

A: Given information Mean µ = 190 Standard deviation σ = 20

Q: Layla earned a score of 140 on Exam A that had a mean of 200 and a standard deviation of 50. She is…

A: Given :  Score on exam A = X = 140  mean of X =  200  standard deviation of X =  50. Score on exam B…

Q: Assume that the test scores for a large class are normally distributed with a mean of 64 and a…

A: Solution-: Given: We find P(the class received a higher score than 78)=?

Q: Suppose that the mean and standard deviation of the scores on a statistics exam are 81.7 and 6.75,…

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Q: In a factory producing parts for an electronic appliance, the length of a large  number of parts…

A: From the provided information, Mean (µ) = 3 Standard deviation (σ) = 0.05 X~N (3, 0.05) Here X be a…

Q: If the mean of x bar is equal to 15.3 and the standard deviation of x bar is 1.20, what is the…

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Q: Assume that the SAT test scores are normally distributed with a mean score of 1200 and a…

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Q: The data set has 150 observations and has mean 35 and standard deviation 4. Approximately how many…

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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: The quartiles of any distribution are the 25th and 75th percentiles. About how many standard…

A: 25th Percentile = P(Z <z ) = 0.25 For normal table  P(Z < -0.67 ) = 0.2514 Hence, 25th…

Q: The data set has 200 observations and has mean 20 and standard deviation 4. Approximately how many…

A: It is given that the mean is 20 and the standard deviation is 4.

Q: The mean of 200 items is 48 and their Standard Deviation is 3. Find : The sum of all the items, (ii)…

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Q: Brooklyn earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She…

A: Here we are to assume that scores on each exam are normally distributed.   For exam A, Brooklyn…

Q: % of all data lies within one standard deviation to the left of mean  % of all data lies with two…

A: We will use the Empirical rule

Q: Suppose you are working with a data set that is normally distributed with a mean of 400 and a…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A: Here I am providing my handwritten solution

Q: The distribution of heights of adult men is approximately normal with mean 69 inches and standard…

A: Given that information  Mean = mu = 69 inches  Standard deviation = s = 2.5 inches  Z score = -2.5…

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

A: a) If the probability of a defective bolt is 0.1. Given that there are total of 400. That is, n=400…

Q: The data in a data set are normally distributed with a mean of 150 and a standard deviation of 30.…

A: In this problem, we are going to using The empirical rule(68-95-99.7 Rule)

Q: A normally distributed data set has a mean of O and a standard deviation of 2. What is the percent…

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Q: The following table gives the number of finished articles turned out per day by different number of…

A: Solution is given:

Q: Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Here * denotes the lost values. If it was known that the mean of the marks was 56 and the standard…

A: The combined mean is given by

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

A: