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3. If a random variable Y has a Chi-square distribution with 9 degrees of freedom. a)...
3. Let X be normal random variable and Y be a Chi-square random variable with df...
3. Let X be normal random variable and Y be a Chi-square random variable with df degrees of freedom then the ratio follows (note that this is the reason we use a common test when We don't know for certain the true value of the variance): a) A x?distribution b) A normal distribution c) An F distribution d) At distribution.
a) true b) false 42. For a chi-square distributed random variable with 10 degrees of freedom and a level of sigpificanoe computed value of the test statistics is 16.857. This will lead us to reje...
a) true b) false 42. For a chi-square distributed random variable with 10 degrees of freedom and a level of sigpificanoe computed value of the test statistics is 16.857. This will lead us to reject the null hypothesis. a) true b) false 43. A chi-square goodness-of-fit test is always conducted as: a. a lower-tail test b. an upper-tail test d. either a lower tail or upper tail test e. a two-tail test 44. A left-tailed area in the chi-square distribution...
Let Yn be a chi square random variable with n degrees of freedom, and let Xn =...
Let Yn be a chi square random variable with n degrees of freedom, and let Xn = Yn / n2. Find the limiting distribution of Xn.
10) Suppose that X follows a chi-square distribution with m degrees of freedom and S=X+Y. Given...
10) Suppose that X follows a chi-square distribution with m degrees of freedom and S=X+Y. Given that S follows a chi-square distribution with m+n degrees of freedom, and X and Y are independent, show that y follows a chi-square distribution with n degrees of freedom.
imize File Preview ZOOM+ 5. (a) If T has a t-distribution with 9 degrees of freedom,...
imize File Preview ZOOM+ 5. (a) If T has a t-distribution with 9 degrees of freedom, Use Table IV in the book to find tsch that P(T < t) = 0.99 (b) If X has a Chi-Square distribution with 15 degrees of freedom, Use Table V in the 0.95 book to find z such that P(X <z) (c) Suppose a random sample of size 12 is taken from a Normal Population. If the population variance is 8, what is P(S214.3091)....
Consider a Chi-square random variable with 15 degrees of freedom and 0.1 level of significance. Which...
Consider a Chi-square random variable with 15 degrees of freedom and 0.1 level of significance. Which of the following test statistic values will result in rejection of the null hypothesis? (1) 21.1. (2) 18.5. (3) 19.8. (4) 23.5. (5) 2.7.
Show that if Z is a standard normal random variable then Z2 has the Chi-square distribution...
Show that if Z is a standard normal random variable then Z2 has the Chi-square distribution with one degree of freedom.
Suppose that χ2 follows a chi-square distribution with 20 degrees of freedom. Compute P (χ2 ≤...
Suppose that χ2 follows a chi-square distribution with 20 degrees of freedom. Compute P (χ2 ≤ 24). Round your answer to at least three decimal places. Suppose again that χ2 follows a chi-square distribution with 20 degrees of freedom. Find k such that P(χ2 >k) = 0.1. Round your answer to at least two decimal places. Find the median of the chi-square distribution with 20 degrees of freedom. Round your answer to at least two decimal places.
In calculating a one-sample chi-square test, when there are 3 degrees of freedom, the variable has...
In calculating a one-sample chi-square test, when there are 3 degrees of freedom, the variable has how many categories?
9. Show that Y-Σ|-1 z? has a Chi-squared distribution with n degrees of freedom, where Z's...
9. Show that Y-Σ|-1 z? has a Chi-squared distribution with n degrees of freedom, where Z's are iid rvs from a standard normal distribution. (Prove it mathematically)
3. Let X be normal random variable and Y be a Chi-square random variable with df degrees of freedom then the ratio follows (note that this is the reason we use a common test when We don't know for certain the true value of the variance): a) A x?distribution b) A normal distribution c) An F distribution d) At distribution.
a) true b) false 42. For a chi-square distributed random variable with 10 degrees of freedom and a level of sigpificanoe computed value of the test statistics is 16.857. This will lead us to reject the null hypothesis. a) true b) false 43. A chi-square goodness-of-fit test is always conducted as: a. a lower-tail test b. an upper-tail test d. either a lower tail or upper tail test e. a two-tail test 44. A left-tailed area in the chi-square distribution...
10) Suppose that X follows a chi-square distribution with m degrees of freedom and S=X+Y. Given that S follows a chi-square distribution with m+n degrees of freedom, and X and Y are independent, show that y follows a chi-square distribution with n degrees of freedom.
imize File Preview ZOOM+ 5. (a) If T has a t-distribution with 9 degrees of freedom, Use Table IV in the book to find tsch that P(T < t) = 0.99 (b) If X has a Chi-Square distribution with 15 degrees of freedom, Use Table V in the 0.95 book to find z such that P(X <z) (c) Suppose a random sample of size 12 is taken from a Normal Population. If the population variance is 8, what is P(S214.3091)....
9. Show that Y-Σ|-1 z? has a Chi-squared distribution with n degrees of freedom, where Z's are iid rvs from a standard normal distribution. (Prove it mathematically)
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