A certain data set has a mean of 60 and a standard deviation of 12. Given that the data set has 120 elements and that it is normally distributed, how many values fall within 1 standard deviation above the mean?

Q: . A population has a mean of  80 and a standard deviation of  20. a. Would a score of X 70 be…

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Q: A population has a mean of μ= 30 and a standard deviation of σ = 5.  If 5 points were added to every…

A: The value of population mean is μ=30. If 5 points were added to every score in the population, then…

Q: For a list of positive numbers, is it possible for the standard deviation to be greater than the…

A: Mean: The mean defines that the center or average of the data and it is calculated by the sum of the…

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

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Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

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: for a population with a standard deviation of 5 and mean of 40, draw a bell shaped curve, marking…

A: In statistics, the empirical rule says that for normal distribution, 68%, 95%, and 99.7% of the…

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

A: From the provided information, Mean (µ) = 144 Standard deviation (σ) = 27 X~N (144, 27)

Q: Given a test is normally distributed with a mean of 30 and a standard deviation of 6: What is the…

A: Let's assume X = score in the test.  As given X ~ N ( mean = 30 , standard deviation = 6)  It is…

Q: For a population with a standard deviation of 40, how large a sample is necessary to have a standard…

A: We want to find the sample size

Q: If x is a normally distributed variable with a mean of 151.7 and a standard deviation of 21.9, what…

A: GivenMean(μ)=151.7standard deviation(σ)=21.9

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: 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, equal to 116 and a standard…

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

Q: Given a normally distributed data set whose mean is 35 and whose standard deviation is 6.3, what…

A: The random variable X follows normal distribution. The population mean is 35. The population…

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: Suppose that in a given semester, the MEAN of units taken by students at Delta is 17 and has a…

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

A: From the provided information,

Q: If Quiz A has a mean of 7.6 and a standard deviation of 2.0 and Quiz B has a mean of 7.9 and a…

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Q: the length of a certain species of fish were found to be normally distributed. the mean length is 72…

A: Any assumption about the parameter or probability function is called a hypothesis. Given data are…

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: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

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

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Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

A: Let p^ denotes the sample proportion which follows normal distribution with mean 0.46 and standard…

Q: If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that…

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

A: The provided information are:

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

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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: Suppose the mathematics SAT scores are normally distributed with a mean of 500 and a standard…

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Q: If the average American sleeps 8 hours a night, with a standard deviation of 1 hour, and I plan on…

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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 weights of oranges in a harvest are normally distributed, with a mean weight of 150 grams and…

A: From the provided information, Mean (µ) = 150 Standard deviation (σ) = 10 Let X be a random variable…

Q: A large normally distributed data set has a mean of 10 and a standard deviation of 1.5.…

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Q: A set of data items is normally distributed with a mean of 60. Convert the data item of 55 to a…

A: Given that: Mean = 60Standard deviation = 5Data item = 55

Q: A certain data set has a mean of 60 and a standard deviation of 12. Given that the data set has 120…

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Q: If a population has a standard deviation σ , then the standard deviation of the mean of 100 randomly…

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Q: If the standard deviation of a data set was originally 5, and if each value in the data set was…

A: Given that  The Standard deviation is 5

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…

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Q: A given set of data has a specific standard deviation. Describe what will happen to the standard…

A: Answer: The standard deviation of new data is remains same as original data. As a general rule, the…

Q: Both sets of values have an average of 13.  Is Set A's standard deviation smaller, larger, or about…

A: deviations from mean are more for set A 1-13, 2-13, 3-13, 23-13, 24-13, 25-13, -12, -11, -10, 11, 12…

Q: . If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

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Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 270 days and a…

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Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: Given :  sample with mean of 151 and standard deviation of 27 we have to find P(X > 158 )

Q: for a population with a standard deviation of 4.2 and mean of 32.5, draw a bell shaped curve,…

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Q: In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices…

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Q: If there are ten values each equal to 10, then standard deviation of these values is:

A: Standard deviation determines how the individual values of the data deviate from the value of mean.…

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…