In a distribution where the mean is 70 and the standard deviation is 3, find the largest fraction of the numbers that could meet the following requirements. Of the numbers in the distribution, the fraction that is less than 61 or more than 79 is at most (Type an integer or simplified fraction.) less than 61 or more than 79

Q: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.…

A: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given,   Mean = 150 Standard deviation = 10

Q: For a population with the mean of u = 45 and a standard deviation of 10, what's the standard error…

A: Given that, Mean = 45 Standard deviation = 10

Q: Assume the sample size of the population is 20,000  n = 800, p = 0.749 determine the standard…

A: Givenp=0.749n=800Assume the sample size of the population is 20,000

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Given data, Mean = 69 SD = 7

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X…

A: Solution:From the given information, normal distribution with population mean as 35 and standard…

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A: a) The standard deviation of the sampling operation is ± 4% or ± 0.04 and the standard deviation of…

Q: n a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A: Given that, Mean = 22.9 Standard deviation = 6.7

Q: In a sample distribution, X=56 corresponds to z=1.00, and X=47 corresponds to z=-0.50. Find the mean…

A: Given,  X=56 corresponds to z=1.00 X=47 corresponds to z=-0.50 wktz=x-μσX=zσ +μ

Q: a. How many standard deviations away from the mean is a beetle with mandible length of .44 mm? b.…

A: A z-score is known as the standard score that determines how much the data point deviates from the…

Q: population with a standard deviation of 20, how large a sample is necessary to have a standard error

A: Given that  Population with standard deviation (σ) = 20   We know that  Standard error (SE) = σn…

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Q: 8, and the sample standard deviation, s, is found to be 4.6. ...

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Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

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Q: If you want to be 95% confident of estimating the population mean to within a sampling error of ±5…

A: formula for the sample size :

Q: Suppose the true proportion of voters in the county who support an independent candidate for county…

A: We have given that,  True proportion or probability (p) = 0.42 Then,  q= 1 - p = 1- 0.42 = 0.58 q=…

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Q: In an English test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally…

A:

Q: Find the standard deviation, σ, for the binomial distribution which has n = 48 and p = 3/5. Round…

A: Given: n = 48 p=35

Q: Assume that IQ scores are normally distributed, with a mean of 100 points and a standard deviation…

A:

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X<44)=?

Q: b) The American Automobile Association reports that the average time it takes to respond to an…

A: Given  μ=38, σ=9.002 and n=80

Q: If the average low temperature of a winter month in Rochester, NY is 16° and the standard deviation…

A: The Chebyshev’s inequality theorem states that of the data values falls inside the k standard…

Q: A hypothetical distribution for a population of test scores has a mean of 60.4, a median of 62.8,…

A: According to the given information in this question We need to find standard deviation of sampling…

Q: 4) According to one pollster, 59 % of people are afraid of flying. Suppose that a sample of size 26…

A:

Q: n a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: The mean incubation time 69 and standard deviation 8 The lowest score for A is calculated as…

Q: opulation with a standard deviation of  20, find the z-score for each of the following locations in…

A: The z score can be calculated as: z=x-μσ (a) The z score for Above the mean by 5 points is,…

Q: а. How many of the women have a height that is within 1 standard deviation of the mean? b. How many…

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Q: According to the College Board, the probability that a student forgets to bring their ID with them…

A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: Sweet Rush is an ice cream shop chain that has locations all across the nation, Customers at Sweet…

A: Solution-: Given: μ=1.40,σ=0.85,n=10 We find, (a) μX¯=? (b) σX¯=?

Q: Given that X is normally distributed with a mean of 50 and a standard deviation of 4, determine P(45…

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Q: The monthly In distributed, with mean of $100 standard deviation of $13. Find the probability that a…

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Q: For a population with a mean of μ = 45 and a standard deviation of σ = 10, what is the standard…

A: Obtain the standard error of the distribution of sample means for sample size n=4 scores. The…

Q: The population of SAT scores forms a normal distribution with a mean of μ = 500 and a standard…

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Q: If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard…

A: According to the Chebyshev's theorem, 1-(1/k²) of the observation fall within k standard deviation…

Q: Q- For a sample of washers produced by a machine is normally distributed with mean inside diameter…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: (O) What is the standard deviation of a distribution that has a mean of 46.2 if a PERFORMANCE value…

A: From the provided information, Mean (µ) = 46.2 Performance value (x) = 28 Z score = -1.24

Q: For a sample from a normal distribution with standard deviation σσ, the standard deviation of the…

A:

Q: If you have a sample of n=25, what is the standard error if the population standard deviation is σ =…

A: The standard error of the sampling distribution of the sample mean.

Q: For a population with a mean of mean=45 and a standard deviation of 10, what is the standard error…

A:

Q: Suppose a random sample of n measurements is selected with probability of success p = . 35. Given n…

A: Solution: From the given information, p=0.35 and n=200.

Q: A random sample is selected from a population with a standard deviation of 0=18. a. On average,…

A: Given: A random sample is selected from a population with a standard deviation of σ=18

Q: From a population of 200 elements, a sample of 81 elements is selected. It is determined that the…

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Q: In a sample distribution, a score of x = 21 corresponds to z = -1.00 and a score of x = 12…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:…

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Q: Is the difference between the mean annual salaries of registered nurses in State A and State B equal…

A: Sample mean (x̅1) = 75,876 Sample mean (x̅2) = 70,876 Sample size (n1) = 30 Sample size (n2) = 25…

Q: In a certain​ distribution, the mean is 70 with a standard deviation of 5. At least what fraction…

A: Given. μ=70 σ=5 We have to determine the fraction of of the numbers are between 60 and 80.…

Q: Assume that IQ scores are normally distributed, with a mean of 100 points and a standard deviation…

A:

Q: The proportion of Americans who are satisfied with the way things are going in their lives is 82%.…

A: From the given information the sample size is (n) = 100 and the proportion of Americans who re…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.