A random sample is selected from a population with mean = 100 and standard deviation = 10. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (Round your standard deviations to three decimal places.) (a) n=9 #_= d. = (b) = 15 #₂ = (c) n 36 (d) n = 50 dy" (e) n 100 Ax dx = (f) n = 400

Q: A normal distribution has u = 30 and o = 5.

A: Given that, Mean = 30 Standard deviation = 5 Z score = 1.3

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Let X denote the percent of fat calories that a person in America consumes each day is normally…

Q: Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 6…

A: Given : μ = 161 σ = 6

Q: Find the X value corresponding to z = +0.75 for a distribution with population mean of 90 and…

A: Solution: From given information, µ=90, σ=12 and z=0.75.

Q: find the 80th percentile of a normal distribution where x=n(50,10)

A: Step 1:Find the 80th percentile of a normal distribution.X∼N(50,10)=X∼N(μ,σ)Step 2:Find the Z-score…

Q: A population has mean  =μ19  and standard deviation  =σ5 . Find  μx  and  σx  for samples of…

A:

Q: Suppose the distribution of maximum monthly January temperatures in Sydney is normal with mean, μ =…

A:

Q: A normal distribution has μ = 32 and a = 5. (a) Find the z score corresponding to x = 27. (Enter an…

A: Given that  X~N (μ = 32  , σ = 5) μ= 32  , σ = 5 Formula for Z-score Z=(X-μ)/σ

Q: A simple random sample of six values had mean x = 13.00 and standard deviation s = 7.155. Calculate…

A: Given,

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A: N [25,3]The population mean = 25The population standard deviation = 3

Q: 3. (Sec 5.5) Suppose the average weight of 25-year-old males is 182 pounds with a standard deviation…

A:

Q: Suppose the distribution of maximum monthly January temperatures in Sydney is normal with mean, μ =…

A:

Q: A population has a mean μ = 157 and a standard deviation o=20. Find the mean and standard deviation…

A: Following solution is provided below

Q: ez-score for x = 61 is . So 61 is standard deviations (Choose one) ▼ the mean μ = 56. X

A: It is given thatMean, μ = 56Standard deviation, σ = 20Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: In a population of 1000 bacteria a researcher counts that there are 200 bacteria that are more than…

A: 1.5 times the standard deviation value.

Q: Corey scores X = 70 on his first exam, for which the entire class scored a mean of µ = 78 and…

A: From the given information, let X be the Corey’s score on his first exam. X = 70. Mean score of the…

Q: A normal distribution has u = 30 and o = 5. (a) Find the z score corresponding to x = 25. (b) Find…

A:

Q: SAT scores in one state is normally distributed with a mean of 1537 and a standard deviation of 64.…

A: Where,

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A:

Q: A town's average snowfall is 40 cm per year with a standard deviation of 5 cm.  According to the…

A: Given: μ = 40 σ = 5 Formula Used: If a random variable X follows Normal distribution with parameter…

Q: Let data be x1, . . . , xn. each data-point xi is normally distributed, with unknown mean θ and…

A: We have a random sample X1,X2,....,Xn which is normally distributed with unknown mean θ and standard…

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: A normal distribution has mean μ = 60 and standard deviation σ = 20. Find and interpret the z-score…

A: Step 1: State the given data: raw score, x = 75population mean, µ = 60population standard deviation,…

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A:

Q: A population has a mean of μ = 87 and a standard deviation  = 24 find the mean and standard…

A:

Q: ndom Variable is normally distributed with mean = rd deviation = 18. 70 and e sampling distribution…

A: Given that.   X~N( μ , ?^2 )   μ=70     , ?=18  , n=36     Z-score =( x - μ )/?

Q: level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.9 grams…

A: Formula : σ_x̄ = σ/√n

Q: A normal distribution has μ = 24 and σ = 5. (a) Find the z score corresponding to x = 19. (b) Find…

A:

Q: A population has a mean μ = 137 and a standard deviation o=20. Find the mean and standard deviation…

A: The question is about sampling distributionGiven :Mean of Population  ( ) = 137Standard deviation…

Q: Suppose the distribution of maximum monthly January temperatures in Canberra is normal with mean, μ…

A:

Q: ← A population has a mean μ 156 and a standard deviation o=30. Find the mean and standard deviation…

A: simple formula of sample mean has used and solve.

Q: A normal distribution has ? = 31 and ? = 4. (a) Find the z score corresponding to x = 27. (b)…

A: The provided information is µ=31 σ=4 a. when x=27 z=x-µσz=27-314z=-1 The z score is -1

Q: A variable of a population has a mean of μ=100 and a standard deviation of σ=27 The sampling…

A:

Q: What is the value for a score that has a z= +1.5 from population with a mean of μ=30 and a standard…

A: Z score = +1.5 Mean = 30 Standard deviation = 6

Q: You run a candle manufacturing factory and over the past year the average output of the factory is…

A: From the provided information, Mean (µ) = 480 Standard deviation (σ) = 10 X~N (480, 10) Sample size…

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…

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

Q: A population of values has a normal distribution with μ=165.6μ=165.6 and σ=91.4σ=91.4. You intend to…

A: Using linear expansion approach