Since the sampling distribution of X possesses a different standard deviation value from X, it follows that its standard score is also different. And to standardize a random value X, we use the formula: A

Q: Suppose that the random variable X represents th If E(X) 9 and V(X) 0.25, wh millimeters. Meani…

A: Let X be a random variable that represents the length of a punched part in the centimeters.Let Y be…

Q: Let x be a random variable representing the length of trout in a lake.  A friend claims that the…

A: We have given that,  Sample mean length (x̄) = 19.4 and sample standard deviation (s) = 3.8 and…

Q: The weights of apples sold in a Toronto supermarket are independently distributed with mean l and…

A: Sampling distribution: If the population is normally distributed then the sampling distribution is…

Q: A synoptic uses Bernoulli random variable X to describe the weather conditions within one year…

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Q: length of a cutthroat trout in Pyramid lake. A friend claims that the average length of trout caught…

A: As given, Let x be a random variable representing the length of a cutthroat trout in Pyramid lake.…

Q: A random variable X has a binomial distribution with = 0.34 and a sample size of n. Find the mean…

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Q: Let X be a random variable with a mean equal to 100 and a standard deviation equal to 15. Let…

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Q: Consider two random variables, X and Y, such that Y =-4X +20. The mean value and the variance of X…

A: The correlation is the relationship between two variables. It can be measured using the correlation…

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

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Q: Let xn and s2n denote the sample mean and variance for the sample x1, ... , xn and let xnþ1 and s2…

A: From Given data ,   W.C.T = xn=∑xii=1nn

Q: Let X1, X2, X3... X20 be a random sample from a distribution with mean 8 and variance 5. Find the…

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Q: A sample of n = 6 scores has X= 48. This sample has a mean of M = 6. O True O False

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Q: Given that the variances of random variables X and Y are 400 and 900, respectively. The correlation…

A: Basic

Q: Let X1, X2, .., X be a random sample from a distribution with mean u and variance o2.Consider the…

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Q: Consider throwing a die 20 times. Let X be the number of times th outcome is less than 3. Find the…

A: Given that  n=20  , p=2/6=1/3 , q=1-p=1-(1/3)=2/3 X=Number of times the outcomes less than 3…

Q: The dotplot below shows sample proportions from samples of size n = 35 from a population.…

A: A dot plot is provided which shows the sample proportions from samples of size, n = 35 from a…

Q: Executives of a supermarket chain are Interested in the amount of time that customers spend in the…

A: We have to fill blanks.

Q: The director of research and development is testing a new drug. She wants to know if there is…

A: Solution: State the hypotheses. Null hypothesis: H0: µ≤312 That is, the mean time the drug stayed in…

Q: Let X and Y be independent random variables representing the lifetime (in one billion years) of Type…

A: Given data is mean of X is 3mean of Y is 11we have to find the variance of the total life time of 3…

Q: A sample of n observations has a sample mean of �̅x= 100 and variance of σ2 =100. If a new…

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Q: If all other values are held constant, what happens to the value of t when sample size increases ?

A: The formula to calculate t value (test statistic) can be written as:

Q: Assume that you have a random variable X which is binomially distributed, and someone told you that…

A: Assume that you have a random variable X which is binomially distributed, andsomeone told you that…

Q: Assume the sample variances to be continuous measurements. Find the probability that a random sample…

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Q: For a continuous random variable x, the population mean and the population standard deviation are…

A: for a continuous random variable x;population mean(μ)=139population standard deviation(σ)=9n=36

Q: A score that is 2 points higher than the sample mean has a z-score of z = 0.5 and a score of X = 44…

A: Given,A score that is 2  points higher than the sample mean has a z-score of z = 0.5and a score of X…

Q: A normally distributed random variable has a mean of 449: a. If a score of 325 has a standard normal…

A: Let X has normally distributed random variable.and mean of X=μ=449

Q: There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also…

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Q: The owner of a farmer's market was interested in determining how many oranges a person buys when…

A: Given data is x 1 2 3 4 5 6 7 8 9 10 P(x) 0.05 0.19 0.20 0.25 0.12 0.10 0 0.08 0 0.01

Q: Let X be a random variable with X -3 and oz = 5. Find the mean and the variance of Y = -2X -3

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Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?