Homework Answers
Answer: 0.1767
(by using t-table or excel)
[Excel command: =TDIST(0.95,20,1)]
[We use 0.95, as the probability less than -0.95 or probability greater than 0.95 are same due to symmetry.]
[For t-table, find value corresponding to the 0.95 and degrees of freedom = 20. Select proper t-table. Some table gives upper probabilities while some gives lower.]
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Question number 3 Compute P(x s -0.95), whеrе tо hаѕ а t-distribution with 20 degrees of...
• Consider a t distribution with 13 degrees of freedom. Compute P(t = 1.43). Round your...
• Consider a t distribution with 13 degrees of freedom. Compute P(t = 1.43). Round your answer to at least three decimal places. • Consider a t distribution with 7 degrees of freedom. Find the value of c such that P(-c<t<c)=0.95. Round your answer to at least three decimal places. Pſt s 1.43) = 0 c= Х ?
Consider a t distribution with 3 degrees of freedom. Compute P( t>-1.75). Round your answer to...
Consider a t distribution with 3 degrees of freedom. Compute P( t>-1.75). Round your answer to at least three decimal places. Consider a t distribution with 4 degrees of freedom. Find the value of C such that P(-c<t<c)=0.90. Round your answer to at least three decimal places. P(t>-1.75)= C=
Consider a t distribution with 7 degrees of freedom. Compute P( t > 1.00). Round your...
Consider a t distribution with 7 degrees of freedom. Compute P( t > 1.00). Round your answer to at least three decimal places. Consider a t distribution with 33 degrees of freedom. Find the value of C such that P( -C<t<C)= 0.99. Round your answer to at least three decimal places. P( t > 1.00)= C=
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.
Consider a t distribution with 18 degrees of freedom. Compute P(t>=-1.67) . Round your answer to at least three decim...
Consider a t distribution with 18 degrees of freedom. Compute P(t>=-1.67) . Round your answer to at least three decimal places. Consider a t distribution with 22 degrees of freedom. Find the value of c such that P(-c=-1.67) c=
Let T have a (Student's) t distribution with 10 degrees of freedom. If P(T < k)...
Let T have a (Student's) t distribution with 10 degrees of freedom. If P(T < k) = 0.95, what is the value of k? Let mu be the unknown mean of a Normal distribution. I take 20 observations randomly from this distribution, and want to test H0: mu = 15 vs H1: mu is not equal to 15 at the 5% level of significance. If I observe a p-value of 0.11, what decision can I make? Write mu for the...
Use the calculator provided to solve the following problems. Consider a t distribution with 16 degrees...
Use the calculator provided to solve the following problems. Consider a t distribution with 16 degrees of freedom. Compute P ≥ t 1.43 . Round your answer to at least three decimal places. Consider a t distribution with 12 degrees of freedom. Find the value of c such that = P < − c < t c 0.95 . Round your answer to at least three decimal places.
Use the calculator provided to solve the following problems. • Consider at distribution with 11 degrees...
Use the calculator provided to solve the following problems. • Consider at distribution with 11 degrees of freedom. Compute P(t<1.99). Round your answer to at least three decimal places. • Consider a t distribution with 17 degrees of freedom. Find the value of c such that P-c<t<C) = 0.95. Round your answer to at least three decimal places. P(t < 1.99) = c = x 6 ?
QUESTION 1 For the t distribution with 11 degrees of freedom, find the value for which...
QUESTION 1 For the t distribution with 11 degrees of freedom, find the value for which the upper tail area is 0.25. QUESTION 2 For the t distribution with 17 degrees of freedom, calculate P(T<2.11).
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 t distribution with 13 degrees of freedom. Compute P(t = 1.43). Round your answer to at least three decimal places. • Consider a t distribution with 7 degrees of freedom. Find the value of c such that P(-c<t<c)=0.95. Round your answer to at least three decimal places. Pſt s 1.43) = 0 c= Х ?
Use the calculator provided to solve the following problems. • Consider at distribution with 11 degrees of freedom. Compute P(t<1.99). Round your answer to at least three decimal places. • Consider a t distribution with 17 degrees of freedom. Find the value of c such that P-c<t<C) = 0.95. Round your answer to at least three decimal places. P(t < 1.99) = c = x 6 ?
QUESTION 1 For the t distribution with 11 degrees of freedom, find the value for which the upper tail area is 0.25. QUESTION 2 For the t distribution with 17 degrees of freedom, calculate P(T<2.11).
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)....
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