A population has a mean of μ = 100, a variance of σ2 = 9, and a standard deviation of σ = 3.  The researcher multiplies every single score in the population by 8.  After this change to the scores, what will the new mean, variance, and standard deviation be?

Q: A population has SS = 100 and a variance = 4. What is the value of sigma(X-mu) for the population?

A: Hello, Thanks for posting your question here.  Here it is asked to find the value of sigma(X-mu) for…

Q: The size of the sampling error is Select one: a.Inversely related to the sample size, i.e., the…

A: We have to find correct statement.

Q: A population has a mean of u = 65 and a standard deviation of o = 15. If you select a random sample…

A: From the provided information, Mean (µ) = 65 Standard deviation (σ) = 15 X~N (65, 15)

Q: A sample from a normal population with µ = 50 and  σ = 6 has a mean of M = 48.20. If the sample mean…

A:

Q: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of…

A: Given,Population mean (μ) = 200Population standard deviation (σ) = 50Sample size (n) = 100.We know…

Q: When the coefficient of variation is equal to 20% and the standard deviation is equal to 5, then the…

A:

Q: Given a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X > x) = 0.813

A:

Q: A sample with a mean of M = 40 and a variance of s2 = 12 has an estimated standard error of 2…

A:

Q: A sample has a mean of 5.3, a median of 5.1, a sample standard deviation of 1.2, and a sample…

A:

Q: Question 6 The height of girls follows a normal distribution with mean u = 170 cm and the variance…

A:

Q: A population has a mean of μ=50 and a standard deviation of sigma=10. a. If 3 points were added to…

A: Given: Population mean (µ) = 50 Population standard deviation (σ) = 10

Q: Furnace repair bills are normally distributed with a mean of 265 dollars and a standard deviation of…

A: Given

Q: Suppose that a petrol station has its daily demand for petrol as normally distributed with a mean of…

A:

Q: If an entire population with µ = 60 and σ = 8 is transformed into z-scores, then the distribution of…

A: Solution If X is a normally distributed random variable and X ~ N(μ, σ), then the z-score is:…

Q: A sample of 20 elements selected from a population produced a mean of 65 and a standard deviation of…

A:

Q: The temperature of a newborn baby is normally distributed with a mean of 97.7 °F and a standard…

A: The random variable temperature of a newborn baby is normally distributed. The population mean is…

Q: QUESTION 7 The weekly salaries of public health workers in one state are normally distributed, with…

A:

Q: QUESTION 12 In a sample of 50 business trips taken by employees in the HR department, a company…

A:

Q: If X N(49, 16), then the standard deviation of X equals

A: It is given that, X~N49,16. This, means that, the the random variable X follows a normal…

Q: A sample with a mean of M = 40 and a variance of s2 = 20 has an estimated standard error of 1 point.…

A: Mean = 40 Variance = 20 Standard error = 1

Q: Suppose the scores on an exam have a mean of 60 with a standard deviation of 10. If one student has…

A: Given,mean(μ)=60standard deviation(σ)=10

Q: A population of scores is normally distributed with a standard deviation equal to 7. State whether…

A: Standard error is given by- SE=σn It will increase as standard deviation will increase and decrease…

Q: Suppose that chemistry exam scores are normally distributed with a mean of 28 and a standard…

A: In question, Given that chemistry exam scores are normally distributed with a mean of 28 and a…

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A:

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: If the mean I.Q. is 100 and the standard deviation of I.Q. scores is 15, then I.Q. of 130 will have…

A:

Q: If X is a normally random variable with a mean of 50 and a standard deviation of 8, how many…

A: The mean of the random variable is given as, μ=50 Also, the standard deviation of the random…

Q: Suppose the population mean is 20 and the variance is 25. If a sample of size 20 is drawn from this…

A: Normalization

Q: If E(X) = 2 and standard deviation of X is 3, what is E(X2)?

A: Variance of X equals the second central moment about 0 minus the square of first central moment.…

Q: The SAT Verbal scores of a sample of 300 students at a particular university had a mean of 592 and…

A: Statistic is a measure which is based on sample values And parameter is a measure which is based on…

Q: A population has a mean of μ = 60 and a standard deviation of σ = 12. For the same population, find…

A: Given: μ = 60 σ = 12 To find the score, we know the z-score is given by, Z-score=X-μσThus, X=Z×σ+μ

Q: 6. Find the variance if X~N(0, ¿) and 95% of the data are between -7 and 7.

A:

Q: Suppose a 60-watt light bulb produced by a company has a mean life of 750 hours with a standard…

A: Let us assume the population mean and standard deviation for a distribution is μ and σ. Let a sample…

Q: A sample with a mean of M= 40 and a variance of s2 = 20 has an estimated standard error of 1 point.…

A: Given that, M = 40s2=20SE=1 The value of standard deviation is, s=s2 =20 =4.472136 The formula of…

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

A:

Q: Find the mean and the standard deviation of the normally distributed random variable X if…

A:

Q: If a population of N=10 scores has a mean of ux=30 and a standard deviation of ox=9, then the…

A:

Q: The probability that a Poisson variate x takes a positive value is (1 – e 1.5). Find the variance…

A: Given that  Let X denotes the discrete positive values 0,1,2...  Then X follows Poisson distribution…

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: 12. The weights of the males lowland copperhead in Tasmania have a mean of 812.07 g and a standard…

A:

Q: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of…

A:

Q: Given a normally distributed population with a mean of 80 and a variance of 100, we know that the…

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: As shown in the previous question, the average number of siblings (sibs) is about 3.5, with a…

A: A continuous random variable X follows Normal distribution with parameters μ and σ2 if its…

Q: An engineer claims the population mean of a certain batch process is 400 grams. To check his claim…

A: Given info: An engineer claims the population mean of a certain batch process is 400 grams. To check…

Q: sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4.…

A: We have given that  Sample size n= 100 , mean= 58 , variance = 160 , standard error = 4 ?= 12.6491

Q: Question 12 Calculate the standard deviation of X. 2 P(X) 0.4 0.6

A: We want to find standard deviations

Q: 10 The probability that a Poisson variate x takes a positive value is (1 – e-1.5). Find the variance…

A:

Q: population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of size…

A:

Q: The expectation of X, which is also known as the mean or average, is E(X) = 7 and the Variance of X…

A: We have given that  The expectation of X, which is also known as the mean or average, is E(X) = 7…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.