Solution Found!
Let t0 be a particular value of t. Use Table III in
Chapter 6, Problem 25E(choose chapter or problem)
Let \(t_0\) be a particular value of t. Use Table III in Appendix D to find \(t_0\) values such that the following statements are true.
a. \(P\left(-t_{0}\ <\ t\ <t_{0}\right)=.95\) where df = 10
b. \(P\left(t\ \leq\ -t_{0} \text { or } t\ \geq\ t_{0}\right)\) where df = 10
c. \(P\left(t\ \leq\ t_{0}\right)=.05\) where df = 10
d. \(P\left(t\ \leq\ -t_{0} \text { or } t\ \geq\ t_{0}\right)=.10\) where df = 20
e. \(P\left(t\ \leq\ -t_{0} \text { or } t\ \geq\ t_{0}\right)=.01\) where df = 5
Questions & Answers
QUESTION:
Let \(t_0\) be a particular value of t. Use Table III in Appendix D to find \(t_0\) values such that the following statements are true.
a. \(P\left(-t_{0}\ <\ t\ <t_{0}\right)=.95\) where df = 10
b. \(P\left(t\ \leq\ -t_{0} \text { or } t\ \geq\ t_{0}\right)\) where df = 10
c. \(P\left(t\ \leq\ t_{0}\right)=.05\) where df = 10
d. \(P\left(t\ \leq\ -t_{0} \text { or } t\ \geq\ t_{0}\right)=.10\) where df = 20
e. \(P\left(t\ \leq\ -t_{0} \text { or } t\ \geq\ t_{0}\right)=.01\) where df = 5
ANSWER:Solution 25E
Step1 of 6:
Let us consider be the particular value of ‘t.’
Here our goal is:
a). We need to find
b). We need to find
c). We need to find
d). We need to find
e). We need to find
Step2 of 6:
a).
Let,
The above equation is symmetry, hence the above equation can be written as:
Where, is obtained from critical value of t distribution table, with 10 degrees of freedom. That is,
Therefore, the value of
Step3 of 6:
b).
Let,
The above equation is symmetry, hence the above equation can be written as: