An i.i.d. sample of 40 individuals is drawn from a normal
distribution with a mean of 20 and a standard
deviation of 5. Find a constant k such that P(X-bar > k)
=.88
An i.i.d. sample of 40 individuals is drawn from a normal distribution with a mean of...
A random sample of 80 observations has been drawn from a normal distribution with mean 50 and standard deviation 10. Find the probability that the sample mean is in the interval SOLUTION: 8. s X s 52 48 . . ANS:
Suppose x has a distribution with a mean of 40 and a standard deviation of 20. Random samples of size n = 64 are drawn. (a) Describe the x bar distribution. x bar has a normal distribution. x bar has a geometric distribution. x bar has an approximately normal distribution. x bar has a Poisson distribution. x bar has an unknown distribution. x bar has a binomial distribution. Compute the mean and standard deviation of the distribution. (For each answer,...
A sample of size 29 will be drawn from a population with mean 108 and standard deviation 32. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 88. (c) If appropriate find the 80th percentile of x. .
A random sample of n=36 observations is drawn from a population with a mean equal to25 and a standard deviation equal to 24 a. Give the mean and standard deviation of the (repeated) sampling distribution x over bar x. b. Describe the shape of the sampling distribution of x over bar x. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x over bar x = 20. d. Calculate the...
Let X1, ..., Xn be a random sample from a Normal distribution with mean zero and standard deviation sigma. Let X bar and S^2 be the sample mean and sample variance, respectively. a. Find the constant c such that c(Xbar2) / S^2 has an F distribution. b. How many degrees of freedom are associated with this F distribution?
A random sample of n=36 observations is drawn from a population with a mean equal to 24 and a standard deviation equal to 12. a. Give the mean and standard deviation of the (repeated) sampling distribution x over bar x. b Describe the shape of the sampling distribution of x over bar x. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x over bar x=19. d. Calculate the standard...
A random sample of n=36 observations is drawn from a population with a mean equal to 24 and a standard deviation equal to 12. a. Give the mean and standard deviation of the (repeated) sampling distribution x over bar x. b Describe the shape of the sampling distribution of x over bar x. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x over bar x=19. d. Calculate the standard...
(21) A sample of size 20 is drawn from a normal distribution with unknown variance and mean. The sample variance s2 = 0.012. Find a 95% two-sided confidence interval for the standard deviation o of the population. A. [0.0833,0.1600] B. (0.010,0.0130] C. (0.0069,0.0256] D. None of the above
Central Limit Theorem Data is drawn from a normal distribution with a mean of 50 and a standard deviation of is. A sample of 100 is taken and the sample meen computed of what is the mean of the sample mean of 100 of the b) what is sample the standard deviation mean of 100 what is the probability that the Sample mean is less than 48 CUMULATIVE I X NORM, DIST Case I
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!