The sum of the differences between sample observations and the sample mean is equal to _______.
The range
Zero
The mean deviation
The standard deviationv
Zero because all deviations from sample mean add to 0
$$ \sum\left(\bar{x}-x_{i}\right)=n * \bar{x}-\sum x_{i}=\sum x_{i}-\sum x_{i}=0 $$
The sum of the differences between sample observations and the sample mean is equal to _______....
A random sample of 100 observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. Let Xbar denote the sample mean. (a) Find the mean and standard deviation of the sampling distribution of Xbar (b) Describe the shape of the sampling distribution of Xbar. Does your answer depend on the sample size? (c) Find P(Xbar <16). P(Xbar >23). P(16< Xbar <23). Thank You!
A random sample of n=49 observations is drawn from a population with a mean equal to 51 and a standard deviation equal to 14. c. Find the probability that x over bar x falls between 45 and 53. c. The probability that x over bar x falls between 45 and 53 is _____(Round to three decimal places as needed.) The answer.976 in not correct.
A random sample of nequals 36 observations is drawn from a population with a mean equal to 53 and a standard deviation equal to 24 . a. Find the probability that x overbaris less than 45 . b. Find the probability that x overbaris greater than 63. c. Find the probability that x overbar falls between 45 and 61. .
A random sample of n=49 observations is drawn from a population with a mean equal to 59 and a standard deviation equal to 28. a. Find the probability that x overbarx is less than 47. b. Find the probability that x overbarx is greater than 69. c. Find the probability that x overbarx falls between 47 and 67
A random sample of =49 observations is drawn from a population with a mean equal to 15 and a standard deviation equal to 14. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x overbarxequals=12.5. d. Calculate the standard normal z-score corresponding to a value...
A random sample of=49 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to14. a. Find the probability that x overbarx is less than 14. b. Find the probability that x overbarx is greater than 25. c. Find the probability that x overbarx falls between 14 and 22 a. The probability that x overbarx is less than 14 is _________(Round to three decimal places as needed.)
A random sample of nequals=4949 observations is drawn from a population with a mean equal to 1515 and a standard deviation equal to 1414. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x overbarxequals=12.512.5. d. Calculate the standard normal z-score corresponding to a value...
A random sample of 64 observations is drawn from a population with a mean equal to 71 and a standard deviation equal to 16. What is the mean and the standard deviation of the sampling distribution of x̄? μ = σ = Describe the shape of the sampling distribution of x̄. Does this answer depend on the sample size? The shape is that of a distribution and depend on the sample size. Calculate the z-score corresponding to a value of...
In a sample of n = 40 observations, the sum of x is 1060 and the sum of x² is 34484. What is the sum of the squared deviation and the sample standard deviation?
Which statement is INCORRECT?The value of the mean times the number of observations equals the sum of the observations.The standard deviation is expressed in terms of the original units of measurement but the variance is not.In a negatively skewed distribution, the mean is smaller than the median and the median is smaller than the mode.The interquartile range is found by taking the difference between the 1st and 3rd quartiles and dividing that value by 2.