Let X be the scores on an achievement test given to a certain population of students, with the expected value 500 and the variance 400 202. Let X be the mean of the scores of a random sample of 25 students from the population. Estimate P(496 < X < 504), using the table for standard normal distribution.

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

A: Sample size, Variance, Sample mean, The posterior distribution: Posterior mean, Posterior variance,…

Q: IQ is a scoe that is transofrmed so that it has a normal distribution with a mean 100 and standard…

A: Given ,  IQ is a score (X) that is transformed so that it has a normal distribution. Mean = x¯ = 100…

Q: Let X1,., X4 be a random sample chosen from the normal distribution with an unknown mean and…

A: Answer is explained below

Q: For a standard normal curve, find the probability a value has a z-score less than -2.

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

Q: For the standard normal curve, find the z-score that corresponds to the 7th decile

A: standard normal distribution Z~N(0,1) find z score correspond to 7th decile

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: The score on a standardized test for a certain year is modeled using the normal distribution shown…

A: From the given information, it is clear that,  V=Mean μ=76.5, Standard deviation σ=5.2 According to…

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: Compute the standard score (Z-score) for x, when x = 40, the mean of the distribution = 50, and the…

A:

Q: otal plasma volume is important in determining the required plasma component in blood replacement…

A:

Q: For the standard normal curve, find the z-score that corresponds to the third quartile then find the…

A: To find the Z-score for the first quartile and third quartile for a standard normal curve.

Q: A normal distribution has a mean of µ = 24 with σ = 3. What is the minimum score needed to be in the…

A: given data  normal distribution μ = 24σ = 3 to be in top 14% minimum required score = ?

Q: Find the z-score for the standard normal distribution shown on the diagram. 0.305/

A: here z- score is given data follows standard normal curve,X~N(0,1)we have to find out the z- score…

Q: A normal distribution has a mean of m = 24 with s = 3. What is the minimum score needed to be in the…

A: Let "X" be the minimum score. Since the total area under the normal curve is 1. therefore, the…

Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of…

A:

Q: Let (x-bar) be the mean of a random sample of size 60 drawn from a population with mean 120 and…

A:

Q: X is the time of completing a task using a specific tool. X has a normal distribution with a mean of…

A: Given data,Mean μ=25variance σ2=49Standard deviation σ=7z-score=-3.72x=?

Q: Let the random variable X follow a normal distribution with mean = 120 and variance = 72.25. Find…

A:

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: It is given that the mean is 88 and the standard deviation is 21.

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: P(-b&lt;Z&lt;b)=0.9706

Q: for a standard normal distribution, find the percentage of data that are between 3 standard…

A: The graph with percentages is,

Q: The score on a standardized test for a certain year is modeled using the normal distribution shown…

A: Empirical rule: For a normal distribution, the approximate values that fall in the specified…

Q: A population forms a normal distribution with a mean of 85 and a standard deviation of 24 compute…

A: The mean is 85 and the standard deviation is 24.

Q: Find -z and z such that 55% of the standard normal curve lies between –z and z.

A: Given data  55% of area of standard normal curve lies between -Z and Z.  we have to find value of -z…

Q: Emissions of nitrogen oxides, which are the major constituents of smog, can be modeled using a…

A: It is given that the mean is 1.6 and the standard deviation is 0.4.

Q: Suppose X has a standard normal distribution. Find the distribution of Y= X2/2

A: Solution-: Suppose X has a standard normal distribution. Find the distribution of Y=X22

Q: A normal distribution has mean u = 63 and standard deviation o =20. Find and interpret the z-score…

A:

Q: Find the Z value such that 40% of the standard normal curve lies between -Z and +Z .

A:

Q: A population of scores has Mean = 73 and SD = 8. If the distribution is standardized to create a new…

A: Solution-: For original: μ=73, σ=8 For new:  μ=100, σ=20 what are the new values for X = 65 from the…

Q: Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).…

A: Given data : sample size, n = 31 sample mean, x̄ = 8.8 sample standard…

Q: The useful life of a bicycle bought at Basement-mart fits a log normal distribution with a mean of…

A: