Would it be appropriate to use a normal distribution to model the sampling distribution of X?

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

A: degrees of freedom v=90

Q: For a population with µ = 60 and σ = 20, the Sampling distribution of the Mean, based on n = 16 will…

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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: Suppose we have a normal distribution with µ = 10

A: Let X be a random variable which follows a normal distribution with mean μ and standard deviation…

Q: According to a recent study, 30% of American adults will not sit on a public toilet seat. You are…

A: The question is about sampling dist. Given : Popl. prop. of adults will not sit on a public toilet…

Q: How are the t-distributions and z-distribution related? As sample size increases, what happens to…

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

Q: When n is small (less than 30), how does the shape of the t distribution compare to the normal…

A: Given: When n is small (less than 30), how does the shape of the t distribution compare to the…

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: suppose x has a normal distribution with mean= 18 and standard deviation =13. If you draw ramdom…

A: Given that mean=18 S.D=13 N=5

Q: A sample of n = 10 scores has a mean of M = 3. What is ΣX for this sample?

A: Solution: From the given information, M=3 and n=10.

Q: If P(-X < z < +X) = 0.9198, find the value of X using Standard Normal Distribution table.

A: In this case, it is given P-X&lt;Z&lt;+X=0.9198.

Q: Can a normal approximation be used for a sampling distribution of sample means from a population…

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

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Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 12. Random samples of…

A: The sample size is 64 which is sufficiently large (greater than 30) indicating that the sampling…

Q: If our sample size is small (n<30), we can assume the sample mean has a normal distribution. True O…

A:

Q: If x has a normal distribution with mean u=15 and standard deviation o=3, describe the distributin…

A: Given information, μ=15σ=3 Given sample sizes, n=4, n=16, n=100. The sampling distribution for n=4:…

Q: We can use the central limit theorem when n<30 provided the population follows a normal…

A: The central limit theorem (CLT) is a fundamental concept in statistics that states that for a large…

Q: When do we use a mean and SD to define a continuous variable distribution?

A: Given information: For a continuous variable distribution with specified mean and standard…

Q: (a) 60% of the distribution below it, (b) 75% of the distribution below it, (c) 80% of the…

A: standard normal distribution Z~N(0,1) we have to find value of z such that  (a) 60% of the…

Q: A sample of size 30 was taken from a very large population in order to estimate a proportion, p. The…

A: n = 30 p = 0.2   no. of success = np = 30*0.2 = 6 no of failure = n(1-p) = 30*0.8 = 24   here no. of…

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: Find the probability that a single randomly selected value is less than 18. P(X < 18) = Find the…

A: The probability that a single randomly selected value is less than 18 is,…