A sample of size 50 was drawn from a population that is not necessarily normally distributed. The population mean was found to be at 10 and the population standard deviation is at 7. The Probability that the sample mean is greater than 12 is

Q: 1. A research worker wishes to estimate the mean of a population using a sample large enough that…

A: Since you have asked multiple question, we will solve first question for you. If you want any…

Q: Suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and…

A: The prior Standard deviation is obtained below:

Q: Suppose random variable X follows a normal distribution with mean 10. If 16% of observations from…

A:

Q: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of…

A: Given,Population mean (μ) = 200Population standard deviation (σ) = 50Sample size (n) = 100.We know…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Under the system of floating exchange rates, the rate of foreign money to the U.S. dollar is…

A:

Q: Suppose X is normally distributed with mean 50 and standard deviation 4. Find the probability of P(μ…

A: Given, P(μ - 2.5σ ≤ X ≤ μ + 2.5σ)

Q: A normal distribution has a mean of u = 100 with o = 20. If one score is randomly selected from this…

A: The random variable X follows normal distribution. The population mean is 100. The population…

Q: The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15.…

A: Consider X be a random variable which follows normal distribution indicating the IQ scores of…

Q: A normal distribution has a mean of u = 100 with o = 20. If one score is randomly selected from this…

A: Given information: A normal distribution is considered having: Population mean, μ=100 Population…

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A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: On the midnight shift, the number of patients with head trauma in an emergency room has the…

A: The total probability is equal to 1.

Q: Suppose that chemistry exam scores are normally distributed with a mean of 28 and a standard…

A: In question, Given that chemistry exam scores are normally distributed with a mean of 28 and a…

Q: A normally distributed population has mean 57,800 and standard deviation 750.  a) The probability…

A: Given,mean(μ)=57,800standard deviation(σ)=750

Q: If the average height of 500 students in a secondary school is 151 cm, and the standard deviation is…

A: Given: N = 500 μ = 151 cm σ 15 cm   Formula Used: Z-score = X-μσ

Q: Suppose a population has a mean of 870 and a variance of 1,600. If a random sample is size 64 is…

A:

Q: If X is a normal random variable with a mean of 15 and a standard deviation of 3, then P(X=18) is…

A: Obtain probability that the X=18. The probability that the X=18 is obtained below as follows: The…

Q: The weight of a certain population of young helfers is approximately normally distributed with a…

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Q: For items 1 to 5: Broadcast duration of episodes of a news show has been observed to be normally…

A: Given problem is normal distribution Let, X: Media researcher selects episode of show Mean=μ=30…

Q: A normally distributed population has a mean of 1,214 and a standard deviation of 122. (a) Find the…

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Q: Suppose the current in a diode is assumed to follow a normal distribution with mean of 9mA and…

A: Given : Mean(μ)=9variance(σ2)=9standard deviation(σ)=σ2                                       =9…

Q: Suppose x has a normal distribution with o = 1. A random sample of size 18 has a sample mean of x =…

A: X normally distributed  standard deviation =1 sample size (n) = 18 Mean (x¯) =50 We know that  For…

Q: On the midnight shift, the number of patients with head trauma in an emergency room has the…

A:

Q: Suppose the random variable X had a population mean u=20 and a population standard deviation o=9. If…

A: Given that: X is normally Distributed with mean µ = 20.0 and standard deviation σ = 9.0 By using…

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36…

A: Given that, Mean = 98.6 Standard deviation = 0.60 Sample size, n = 36

Q: A random sample of size 25 from a population gives the sample standard deviation to be 8.5. Test the…

A: In hypothesis testing, there are always two hypotheses viz. null hypothesis and alternative…

Q: The approximate probability of 17 bags exceeding this limit is in the range:

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Q: Suppose that the mean height of Grade 11 male students in a certain school is 170 cm, and that the…

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Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.71° F. If 30…

A: From the provided information, Mean (µ) = 98.6 Standard deviation (σ) = 0.71

Q: Suppose that the heights of adult females is normally distibuted with population mean equal to 168cm…

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Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Solution: Let X be the monthly income of employee in Firm A. From the given information, X follows…

Q: If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then…

A: Given that µ=48 σ=18

Q: Solve The Following items and show your solution. 1. The weight of goats at a farm is normally…

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

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: We know for a Normal distribution ,  the empirical rule predicts that 68% of observations falls…

Q: If the sample mean and sample standard deviation are found to be 90 and 15 respectively and the…

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Q: A normal distribution has a mean of u = 100 with o= 20. If one score is randomly selected from this…

A: Mean = 100 Standard deviation = 20

Q: 1. A sample of size 95 will be drawn from a population with mean 25 and standard deviation 10. Find…

A: We have given that,  X is random variable are normally distributed with mean(mu) = 25 and standard…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

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Q: In the EAI sampling problem, the population mean is $51,400 and the population standard deviation is…

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Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Here we've to Calculate z score but to Calculate z score we need mean (mu). And mean is not given…

Q: A population has a mean of 30 and a standard deviation of 8; if the population distribution is…

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A: According to guidelines we solve first question when given questions are different.

Q: Suppose you choose a random sample of size 100 from a large population of household incomes, which…

A: According to central limit theorem, for large sample (>30) or if the population follows normal…

Q: a normal distribution has a mean of u=60 with o=15.  if one score is randomly selected from the…

A: let "x" be the score.

Q: The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation…

A: Given Mean=1000 Standard deviation=350 N=50

Q: The weights of a certain population of young adult females are approximately normally distributed…

A:

Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x < 80 ) = ?