Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find: (a) the probability that a single score drawn at random will be greater than 110 (b) the probability that a sample of 25 scores will have a mean greater than 105 (c) the probability that a sample of 64 scores will have a mean greater than 105 (d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

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

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Q: Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean of…

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Q: If the standard error (σX) of the mean distribution is 10 and the sample size is 25, then what is…

A: Given information Standard error of the mean distribution = 10 Sample size = 25

Q: what is the probability that the sample mean will be between 350,000 and 365,000?

A: Given that Sample size n = 100 Population mean = 345800 Population SD = 90000

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: n a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average…

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Q: For a random variable that is normally distributed, with a mean of 80 and standard deviation of…

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Q: Assuming weights of female athletes are normally distributed with a mean of 140 lbs and a standard…

A: Let, X: The weights of female athletes. Given: Mean = μ = 140 lbs Standard deviation = σ =15 lbs We…

Q: For a random variable that is normally distributed, with mean of 80 and standard deviation of 10,…

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Q: Assume that the mean number of yearly burglary attempts in Normal, IL is μ=μ= 16, with a standard…

A: Solution: Let X be the number of yearly burglary attempts. From the given information, X follows…

Q: X is Normally distributed with a mean of 500 and a standard deviation of 40.  What is the…

A: GivenMean(μ)=500standard deviation(σ)=40

Q: A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. Find the…

A: From the given information,Sample size 25, mean 106 and standard deviation 12

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

A: Let X be a continuous random variable is normally​ distributed with a mean of 150 and a standard…

Q: For a binomial distribution with n = 15 and p = 0.2, what is the standard deviation of the…

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Q: A sample of n = 5 scores has ΣX = 20 and ΣX2 = 180. For this sample, what is the value of the sample…

A: According to the provided information,   n = 5  ΣX = 20 ΣX2 = 180

Q: X is Normally distributed with a mean of 500 and a standard deviation of 40.  What is the…

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Q: For a normal population with a mean of μ = 80, and a standard deviation of σ = 10, what is the…

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Q: 2. Given a standard deviation of 3.7, what is the mean if1 0% of the population has a distribution…

A: We have given that,  Let x be the random variable from normal distribution with standard deviation…

Q: . Sunshine City was designed to attract retired people, and its current population of 50,000…

A: 6) Given data Mean (µ) = 60 years Standard Deviation(σ) = 16 years Sample size (n)= 100 a) As the…

Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…

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Q: In 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: If the average low temperature of a winter month in Rochester, NY, is 21∘ and the standard deviation…

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Q: An electrical company claims that the average life of the bulbs it manufactures is 1 300 hours with…

A: The mean is 1,300 and the standard deviation is 260 hours.

Q: Suppose that 100,000 recent grads have starting salaries which are normally distributed with a mean…

A: Given that  μ=120,000σ=20,000 b) Consider the probability that the salary above $131,200 is,…

Q: A large retailer wants to determine whether the mean income of families living within two miles of a…

A: Denote μ as the population mean income of families living within two miles of proposed building…

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

A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: In a normal distribution with mean 375 and standard deviation 48, how large a sample must be taken…

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

Q: The number of people in a department store is normally distributed with a mean of 85 and a standard…

A: We have to find the solution for the given problem.

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

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Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: Given that, μ=2.63,σ=0.03,n=9 The mean of sampling distribution of sample mean is, (a) The standard…

Q: what is the probability that a randomly selected case falls between 60 and 68? And what is the value…

A: It is given that X follows N(mean = 72, SD = 12), then Z = (X - mean)/SD follows N(0,1)

Q: a random sample is selected from a population with a standard deviation of  56. On average, how much…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given,mean(μ)=35standard deviation(σ)=7.5sample size(n)=50

Q: Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 60…

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Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Let X be a continuous random variable of average GPA of university students is normally​ distributed…

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Let X be a continuous random variable of average GPA of university students is normally​ distributed…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

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Q: 32 individuals from a population and the mean of the population is 120 and the standard deviation of…

A: From the central limit theorem the sample mean blood glucose level will follow normal distribution…

Q: If a normal distribution has a mean of 10 and a standard deviation of 2, then what is the likelihood…

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Q: For a normal distribution curve with a mean of 15 and a standard deviation of 4, which range of the…

A: Let X be the random variable from normal distribution with mean (μ) = 15  and standard deviation (σ)…

Q: The IQs of 600 applicants of a certain college are normally distributed with a mean of 115 and a…

A: The random variable IQ follows normal distribution. The population mean is 115. The population…

Q: A population has a standard deviation of  = 30. A. On average, how much differences should exist…

A: Given Standard deviation (σ) = 30Sample size (n) = 4and standard error = σn…

Q: If the random variable of X is normally distributed with a mean of 50 and a standard deviation of…

A: Given that, Let X is normally distributed random variable with a mean of 50 and a standard deviation…

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

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Q: a distribution with a mean of 100 and a standard deviation of 15, what is the probability that a…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given dataMean = 35Standard deviation = 7.5Sample size (n) = 40probability that the sample mean will…

Q: Suppose that IQ scores of Grade 11 students of Abuyog Academy is normally distributed with a mean of…

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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.