If the sample mean and sample standard deviation are found to be 90 and 15 respectively and the sample size is 35, then it is better to use the Z distribution than the T distribution for the calculations, since the sample size is greater than 30. O True O False

Q: A variable of a population has a mean of u = 200 and a standard deviation of o = 35. a. The sampling…

A: Given:  The population mean value is given as:…

Q: At what sample size would the standard deviation of the distribution of all possible sample means be…

A:

Q: If I want to know the probability of x being between 5 and 10 on a normal distribution P(x) with a…

A: Provided information is,  X is being between 5 and 10 on normal distribution with mean 10 and…

Q: The distribution of the sample mean, x, will be normally distributed if the sample is obtained from…

A:

Q: Under what circumstances will the distribution of sample means be normal? a.           It is always…

A: the distribution of the sample means will be normal only if the population is normal or if the…

Q: Given that for a particular variable that is known to have a normal distribution, the µ = 15 and σ =…

A: Given that for a particular variable that is known to have a normal distribution, the µ = 15 and σ =…

Q: At what sample size would the standard deviation of the distribution of all possible sample means be…

A: We have given that,  We have to choose sample size when population standard deviation and sample…

Q: Suppose an x-distribution has mean ? = 2. Consider two corresponding x distributions, the first…

A: Solution-: Suppose an x-distribution has mean=2, n=49,n=81 (a) What is the value of the mean of each…

Q: The mean of the distribution shown in the follow- ing histogram is 41.5 and the standard deviation…

A: The mean of the distribution shown in the histogram is 41.5 and the standard deviation is 4.7.   Now…

Q: (a) If specifications for a research project require the standard error of the corresponding x…

A: Givenσx=9σ=72

Q: The probability of an adult in Australia having hazel colored eyes is 20%. If a simple random sample…

A: Solution

Q: Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation…

A: Variance of a Random Variable: The variance of a random variable X, denoted by Var(X), is defined as…

Q: he weights of men in a particular age group have mean u = 180 pounds and standard deviation o = 32…

A:

Q: Find the mean deviation about the A.M. of each of the following distributions : 2,4,6,8,10,12,14,16

A: Mean of the given data=Sum of all termsTotal Number of terms x=2+4+6+8+10+12+14+168=728=9

Q: The mean wage per hour for all 5000 employees who work at a large company is $27.50, and the…

A:

Q: Assume the stated rate of 8% is indeed the correct proportion for all US adults. What is the…

A: We have to find correct answer.

Q: If the sample mean and sample standard deviation are found to be 90 and 15 respectively and the…

A: Given statement: Sample mean and sample standard deviation are 90 and 15. Sample size is n= 35 Then…

Q: 4. When n < 30 and the population standard deviation is not known, what is the appropriate…

A: 4)Givenn&lt;30population standard deviation is not known

Q: to take a simple random sample of size n from the production line. If he were to double his sample…

A: Chocolate bars produced by a certain machine are labeled 8.0 ounces. The distribution of the actual…

Q: For the distribution of sample means to be normally shaped, it must be derived from samples of at…

A: We have given that the distribution of the sample means to be normally shaped, it may be derived…

Q: Given that the variances of random variables X and Y are 1600 and 400, respectively. The correlation…

A:

Q: If the standard deviation of the length of the candies is less than 0.5 inches, there is a…

A: Given data: Standard deviation = 0.5 inches Sample size = 20 Sample standard deviation = 0.3 inch…

Q: 13. When n < 30 and the population standard deviation is not known,, what is the appropriate…

A: t-test is useful for testing those samples whose size is less than 30. Because  if the size of the…

Q: The population distribution at right has a mean of 8 and a standard deviation of 6. The sampling…

A: From the given information, μ=8σ=6 For the first histogram, the spread of the data is low and the…

Q: If X∼U(7,20) follows a uniform distribution, what is the mean of X?

A: The mean of X is obtained below: From the given information, X∼U(7,20) follows a uniform…

Q: 19. In a sample distribution, X = 56 corresponds to z = 1.00, and X = 47 corresponds to z = -0.50.…

A: The formula of z-score is, For X = 56 corresponds to z = 1.00, then the equation is,

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: For a binomial distribution mean is 6 and variance is 2. Find the P(X = 4). O 0.1024 O 0.0012 O…

A: Given : Also, The mean of the distribution (μx) is equal to n * P  = 6 The variance (σ2x) is n * p…

Q: If the standard error of the mean for the sampling distribution of random samples of size 25 from a…

A:

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

A:

Q: A population of scores has u = 50 and o = 5. If every score in the population is multiplied by 3,…

A: If a constant value multiplies to each score in distribution, then the mean and standard deviation…

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.76…

A: GivenMean(μ)=2.76standard deviation(σ)=0.04sample size(n)=10

Q: For a binomial distribution mean is 6 and variance is 2. Find the P(X = 4). %3D O 0.1024 O 0.0012 O…

A: Let X be a random variable. In the given scenario, the random variable X follows binomial…

Q: In the EAI sampling problem, the population mean is  $51600  and the population standard deviation…

A: Solution: We are given that: The population mean is  $51600  and the population standard deviation…

Q: If the standard error of the mean for the sampling distribution of random samples of size 25 from a…

A: Given:

Q: The distribution of life spans is approximately normal and u=40, how large a sample is required in…

A:

Q: For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3…

A: According to central limit theorem, for large sample (&gt;30) or if the population follows normal…

Q: If X is normally distributed random variable with a standard deviation of 48. Find the mean given…

A:

Q: f the standard deviation of a normally distributed population is 22.0 and we take a sample of size…

A: It is given that the standard deviation is 22.0 and the sample size is 4.

Q: If the value of goods declared by all Canadians returning to Canada at the Pigeon River border…

A: According to guidelines we solve first question when given questions are different.

Q: Suppose an x distribution has mean μ = 2. Consider two corresponding  x  distributions, the first…

A: Givena)x distribution has mean µ = 2The mean of the sampling distribution is nothing but the…

Q: If a distribution of data follows a normal distribution, we would expect that the __________, and…

A: If a distribution of data follows a normal distribution, we would expect that the Mean median and…

Q: Suppose X is normally distributed with mean 5. If P(X ≤ 6) = 0.6700 what is the approximate value of…

A:

Q: If X is normally distributed random variable with a standard deviation of 35. Find the mean given…

A:

Q: For the variance of a sample mean RV, taken from an infinite population whose mean is 10 and…

A:

Q: Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation…

A: The following is the formulae for Var (X + Y)                               Var (X + Y) = Var (X) +…

Q: 1) If for a normal distribution the mean is 100 and the standard deviations is 15 then find a)…

A: Given that X follows a normal distribution with mean=100 and standard deviation=15a)…

Q: If a researcher wants to have a distribution of a sample that is approximately normal then that…

A: See the below solution