Question

Let t 0 be a specific value of t. Use the table of critical values of t below to find t 0 dash values such that following statements are true. a. Upper P left parenthesis t greater than or equals t 0 right parenthesisequals​.025, where dfequals11 b. Upper P left parenthesis t greater than or equals t 0 right parenthesisequals​.01, where dfequals18 c. Upper P left parenthesis t less than or equals t 0 right parenthesisequals​.005, where dfequals7 d. Upper P left parenthesis t less than or equals t 0 right parenthesisequals​.05, where dfequals14 LOADING... Click the icon to view the table of critical values of t.

Answer 1

Solution:

We have to use t critical value table to find t values for following parts.

Part a)

P( t > t₀) =0.025
df = 11

Since it says P( t > t₀) =0.025, it means this is one tail area

thus look in t table for One tail area = 0.025 and df = 11 and find t value.

t value = 2.201

that is: t₀= 2.201

Part b)

P( t >t₀) = 0.01
df = 18

look in t table for One tail area = 0.01 and df = 18 and find t value.

thus   t₀= 2.552

Part c)

P( t <t₀) = 0.005
df = 7

Since it says P( t <t₀) = 0.005, this is one tailed but left tailed, so t value is negative.

We use same table and same way but we give - sign for the value obtained.

look in t table for One tail area = 0.005 and df = 7 and find t value.

t₀= -3.499

Part d)

P( t < t₀) = 0.05
df = 14

look in t table for One tail area = 0.05 and df = 14 and find t value.

t₀= -1.761