What is the value of P(T<3.326) for df = 14? What is the value of P(T<0.859) for
ID: 3151222 • Letter: W
Question
What is the value of P(T<3.326) for df = 14? What is the value of P(T<0.859) for n = 22? What is the value of P(T>3.421) for df= 27? What is the value of P(T>4.144) for df = 10? What is the value of P(T<2.660) for n = 61? What is the value of P(|T|>1.363) for df = 11? Please answer in decimal format and can I get an explanation on how to find this. I have never seen the notation P(T....) for.... its for my statistics class and don't know how to find this on my t chart ... I am using a chart that has the right end of the tail shaded. Please help on showing the process.
Explanation / Answer
In that case, please follow these steps:
1. Identify the degres of freedom df, df = n - 1.
2. Find the given value of t in the table.
3. Use some symmetry properties, if needed.
************************
What is the value of P(T<3.326) for df = 14?
From the table, the right tailed area of 3.326 is 0.0025.
Hence, the left tailed area is
P(t<3.326) = 1 - 0.0025 = 0.9975 [ANSWER]
**************************
What is the value of P(T<0.859) for n = 22?
df = n - 1 = 22 - 1 = 21
As
P(t<-0.859) = P(t > 0.859)
Using table,
P(t<-0.859) = P(t > 0.859) = 0.2000 [ANSWER]
**************************
What is the value of P(T>3.421) for df= 27?
Using the table directly,
P(t > 3.421) = 0.001 [ANSWER]
**************************
What is the value of P(T>4.144) for df = 10?
Using the table directly,
P(t > 4.144) = 0.001 [ANSWER]
**************************
What is the value of P(T<2.660) for n = 61?
By symmetry,
P(t<-2.660) = P(t > 2.660)
as df = n - 1 = 60, then
P(t<-2.660) = P(t > 2.660) = 0.0050 [ANSWER]
*************************
What is the value of P(|T|>1.363) for df = 11?
By symmetry
P(|T|>1.363) = 2*P(T>1.363)
Hence,
P(|T|>1.363) = 2*P(T>1.363) = 2*0.1000 = 0.2000 [ANSWER]
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.