What is the standard deviation of the distribution of x? What is the standard deviation of the distribution of x - y ? Create a 95% confidence interval for u, - Hy

Q: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of…

A: From a normal distribution, Mean = 54 Standard deviation = 6

Q: X is random variable with a normal distribution having a mean of 3 and variance of 2. Find P ( X> 4)…

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Q: What distribution could be used to approximate a t-distribution with v=90 degrees of freedom?

A: degrees of freedom v=90

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: suming you obtain a random sample of blood glucose level for a 32 individuals from a population and…

A: To find the probability that the mean blood glucose levels for the sample population will be above…

Q: A variable is normally distributed with a hypothesized population mean of 53 and a standard…

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Q: ume that the random variable X is normally distributed with mean u=70 and standard deviation 9. Find…

A: Given data,Mean μ=70sd    σ=9Find the 40th percentile for X

Q: Chebyshev's Theorem states that for any distribution of numerical data, at least The percent of…

A: Its chebychev

Q: Show that the standard deviation of z-scores equals 1

A: z score is given by, z score = x-μσ Where, x: Raw score μ: Population mean. σ: Population standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of h=100 and standard…

A: Let "X" be the IQ score of the adults.

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Let x be an IQ scorewant to find the probability that the IQ score is less than 135i.e. P(X<135)

Q: The z- value needed to construct 97.8% confidence interval estimate for the difference between two…

A: We have given the following statement difference between two population proportion.

Q: X is a normally distributed variable with a mean of 200 and a standard deviation of 30. What is the…

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Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: Find the F-test statistic to test the claim that the variances of the two populations are equal.…

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Q: (b) Mean and standard deviation of two distributions of 100 and 150 items are 50, 5 and 40, 6…

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Q: he time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: Given Data: μ=4.9σ=1.9   Using central limit theorem ∑X ~ Normal (n×μ, n×σ2)∑X ~ Normal (269.5,…

Q: Let X be a variable with normal distribution with mean ? = 36.8 ℃ and standard deviation ? = 0.4 ℃.…

A: We want to find probability of temperature reaches more than 40° c

Q: The amount of rain falling in Waimea Canyon State Park, Kauai is normally distributed with a mean of…

A: Let x¯ is defined as the mean rain of 16 randomly picked days which follows normal distribution. The…

Q: IQ scores are based on a normal model with a mean of 100 and standard deviation of 8. If a student…

A: 2. Probability of Having an IQ Score Higher than 115:We first calculate the z-score, which we…

Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the probability…

A: A normal distribution (X) has a mean of 100 and a standard deviation of 10.

Q: Assume that a normal distribution of data has a mean of 18 and a standard deviation of 4 Use the…

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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,…

Q: A researcher wants to know the lifetime of a "BL" brand lamp. For necessity research, it takes 9…

A: Given : Population Mean life , μ = 1500 hrs Population standard deviation , σ = 111 hrs

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: Scores in a particular Mathematics test are normally distributed with mean of 175 and standard…

A: given datanormal distributionμ=175σ=20p(105<x<180) = ?

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

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Q: Pulse rates of women have a normal distribution with a mean 75 and a standard deviation of 8. What…

A: Let "X" be the pulse rates of women.

Q: The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100.…

A: Obtain the SAT score separates the top 25% of the distribution from the rest. The SAT score…

Q: Water use in the summer is normally distributed with a mean of 314.5 million gallons per day and a…

A: Let X  be the normal random variable with the mean of 314.5 million gallons per day and a standard…

Q: Q scores based on the Wechsler Adult Intelligence Scale (WAIS) are assumed to be normally…

A: Given data,Mean μ=100standard deviation σ=15Score is x=125z-score=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: what is the mean and standard deviation of all z distributions?

A: Z is distributed as a standard normal variable.

Q: The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20.…

A: