A random sample of size n, {XI, , X, from an exponential population with mean ?,...
Q2. [20] A random sample of size 36 is taken from X which follow N . 64). [5] Show that to test the null hypothesis .. = 80 against W -76, the best critical region for a 0.05 is of the forms [3] Show that to test the null hypothesis = 80 against M: > 80, the uniformly most powerful critical region for -0.05 is of the form M [10] Show that to test the null hypothesis M -80 against...
A simple random sample of size n 43 is obtained from a population that is skewed left with = 54 and 06. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No. The central limit theorem states that only if the...
A simple random sample of size n = 80 is obtained from a population with u = 55 and 6 = 3. Does the population need to be normally distributed for the sampling distribution of X to be approximately normally distributed? Why? What is the sampling distribution of ? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No because the Central Limit Theorem states that regardless...
A simple random sample of size n=74 is obtained from a population with 82 and 8-6 Does the population need to be normally distributed for the sampling distribution of to be approximately normally distributed? Why? What is the sampling distribution of i? Does the population need to be normally distributed for the sampling distribution of to be approximately normally dibuted? Why? O A. No because the Central Limit Theorem states that only if the shape of the underlying population is...
A simple random sample of size n=74 is obtained from a population with u=67 and 5 = 6. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations...
09 , Let Xi, X2 Xn be a random sample from an exponential distribution with mean 0. (a) Show that a best critical region for testing Ho: 9 3 against Hj:e 5 can be (b) If n-12, use the fact that (2/8) ???, iEX2(24) to find a best critical region of based on the statistic ?, xi . size a 0.1 (12 marks)
a simple random sample of size n=72 is obtained from a population with u=82 and o=3. does the population need to be normallt distibuted for the sampling distribution of x to be approximately normaly distibuted? why? what is the sampling distribution of x? A simple random sample of stren72 is obtained from a population with 12 and a = 3. Does the population need to be normally distributed for the sampling distribution of to be approximately omally distributed? Why? What...
4. A sample of size n-81 is taken from an exponential distribution with the pdf f(x)-Be-6x, θ > 0, x > 0. The sample mean is i-35. Find a 95% large- sample confidence interval for θ using the Central Limit Theorem.
A simple random sample of size nequals64 is obtained from a population with muequals43 and sigmaequals8. Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? What is the sampling distribution of x overbar? Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that only for underlying populations that...
X denote the mean of a random sample of size 25 from a gamma type distribu- tion with a = 4 and β > 0. Use the Central Limit theorem to find an approximate 0.954 confidence interval for μ, the mean of the gallina distribution. Hint: Use the random variable (X-43)/?7,/432/25. 6. Let Yi < ½ < < }, denote the order statistics of a randon sample of size n from a distribution that has pdf f(z) = 4r3/04, O...