Homework Answers
Here we have
n=15, p=0.70
Let X is a random variable shows the number of households that will have cable television. Here X has binomial distribution with parameters n=15 and p=0.70.
(i)
(ii)
(iii)
(iv)
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30% of all sefdels have cele televison U.ร. In a random Sample of s as In...
2. Suppose that we have a random sample of normally distributed random variables: X;2.2.4. N (u,02)...
2. Suppose that we have a random sample of normally distributed random variables: X;2.2.4. N (u,02) for i = 1...n Derive the maximum likelihood estimators of u and o2.
A 95% confidence interval for u using the sample results x̄ = 10.7, s=4.5, and n = 30
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 95% confidence interval for u using the sample results x̄ = 10.7, s=4.5, and n = 30
and let X and S be sample mean be a random sample from N(u,0) 1. Let...
and let X and S be sample mean be a random sample from N(u,0) 1. Let are independent, follow the and sample variance, respectively. In order to show that X and S steps below X x-x2 , and show the joint pdf of 1-1) Use the change of variable technique X,X,,X n is (n 1s 202 1 f(F,x,) = n exp 202 a27 [Hint 1] Use Jacobian for n x n variable transformation [Hint 2] 4AT-r- des dis Je ddi...
and let X and S be sample mean be a random sample from N(u,0) 1. Let...
and let X and S be sample mean be a random sample from N(u,0) 1. Let are independent, follow the and sample variance, respectively. In order to show that X and S steps below X x-x2 , and show the joint pdf of 1-1) Use the change of variable technique X,X,,X n is (n 1s 202 1 f(F,x,) = n exp 202 a27 [Hint 1] Use Jacobian for n x n variable transformation [Hint 2] 4AT-r- des dis Je ddi...
you have a normal population of scores with u=60 and o=10. we obtained a random sample...
you have a normal population of scores with u=60 and o=10. we obtained a random sample of n=40. what is the probability that the sample mean will be less than 54?
A random sample is selected from a population with u = 80 and o = 18....
A random sample is selected from a population with u = 80 and o = 18. Which of the following sampling distributions will have a mean of 70. Samples of size n = 64 Samples of size n = 16 Samples of size n = 4 All of the above
Only 1-3) ,X, be a random sample from N(u,0") and let X and S be sample...
Only 1-3)
,X, be a random sample from N(u,0") and let X and S be sample 1. Let mean and sample variance, respectively. In order to show that X and S are independent, tollow the steps below. x - x -X, and show the joint pdf of ,X,,..., X 1-1) Use the change of variable technique is (n-1)s n-u) еxp f(X,x 2a 20 av2n Use Jacobian for n x n variable transformation 1-2) Use the fact that X~N(4, /n), and...
Only 1-3) ,X, be a random sample from N(u,0") and let X and S be sample...
Only 1-3)
,X, be a random sample from N(u,0") and let X and S be sample 1. Let mean and sample variance, respectively. In order to show that X and S are independent, tollow the steps below. x - x -X, and show the joint pdf of ,X,,..., X 1-1) Use the change of variable technique is (n-1)s n-u) еxp f(X,x 2a 20 av2n Use Jacobian for n x n variable transformation 1-2) Use the fact that X~N(4, /n), and...
To test Ho: u = 105 versus Hy: # 105 a simple random sample of size...
To test Ho: u = 105 versus Hy: # 105 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. No, because the test two-tailed OB. Yes, because n 2 30. OC. No, because n 2 30. OD. Yes, because the sample random (b) If x= 101.9 and...
We have a random sample of size 17 from the normal distribution N(u,02) where u and...
We have a random sample of size 17 from the normal distribution N(u,02) where u and o2 are unknown. The sample mean and variance are x = 4.7 and s2 = 5.76 (a) Compute an exact 95% confidence interval for the population mean u (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population...
2. Suppose that we have a random sample of normally distributed random variables: X;2.2.4. N (u,02) for i = 1...n Derive the maximum likelihood estimators of u and o2.
and let X and S be sample mean be a random sample from N(u,0) 1. Let are independent, follow the and sample variance, respectively. In order to show that X and S steps below X x-x2 , and show the joint pdf of 1-1) Use the change of variable technique X,X,,X n is (n 1s 202 1 f(F,x,) = n exp 202 a27 [Hint 1] Use Jacobian for n x n variable transformation [Hint 2] 4AT-r- des dis Je ddi...
and let X and S be sample mean be a random sample from N(u,0) 1. Let are independent, follow the and sample variance, respectively. In order to show that X and S steps below X x-x2 , and show the joint pdf of 1-1) Use the change of variable technique X,X,,X n is (n 1s 202 1 f(F,x,) = n exp 202 a27 [Hint 1] Use Jacobian for n x n variable transformation [Hint 2] 4AT-r- des dis Je ddi...
A random sample is selected from a population with u = 80 and o = 18. Which of the following sampling distributions will have a mean of 70. Samples of size n = 64 Samples of size n = 16 Samples of size n = 4 All of the above
Only 1-3)
,X, be a random sample from N(u,0") and let X and S be sample 1. Let mean and sample variance, respectively. In order to show that X and S are independent, tollow the steps below. x - x -X, and show the joint pdf of ,X,,..., X 1-1) Use the change of variable technique is (n-1)s n-u) еxp f(X,x 2a 20 av2n Use Jacobian for n x n variable transformation 1-2) Use the fact that X~N(4, /n), and...
Only 1-3)
,X, be a random sample from N(u,0") and let X and S be sample 1. Let mean and sample variance, respectively. In order to show that X and S are independent, tollow the steps below. x - x -X, and show the joint pdf of ,X,,..., X 1-1) Use the change of variable technique is (n-1)s n-u) еxp f(X,x 2a 20 av2n Use Jacobian for n x n variable transformation 1-2) Use the fact that X~N(4, /n), and...
To test Ho: u = 105 versus Hy: # 105 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. No, because the test two-tailed OB. Yes, because n 2 30. OC. No, because n 2 30. OD. Yes, because the sample random (b) If x= 101.9 and...
We have a random sample of size 17 from the normal distribution N(u,02) where u and o2 are unknown. The sample mean and variance are x = 4.7 and s2 = 5.76 (a) Compute an exact 95% confidence interval for the population mean u (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population...
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