Question

Determine the​ upper-tail critical value

t Subscript alpha divided by 2tα/2

in each of the following circumstances.

a.a.	1 minus alpha equals 0.90 comma n equals 581−α=0.90, n=58		d.d.	1 minus alpha equals 0.90 comma n equals 131−α=0.90, n=13
b.b.	1 minus alpha equals 0.95 comma n equals 581−α=0.95, n=58		e.e.	1 minus alpha equals 0.99 comma n equals 231−α=0.99, n=23
c.c.	1 minus alpha equals 0.90 comma n equals 301−α=0.90, n=30

a. T= __ (Round to four decimal places as needed.)

b. T= __ (Round to four decimal places as needed.)

c. T= __ (Round to four decimal places as needed.)

d. T= __ (Round to four decimal places as needed.)

e. T= __ (Round to four decimal places as needed.)

Answer 1

We use t-table

a) Since so also , the number of degrees of freedom is

Now we have to find such that

That is

Using t-table we have the value as

b) Since so also , the number of degrees of freedom is

Now we have to find such that

That is

Using t-table we have the value as

c) Since so also , the number of degrees of freedom is

Now we have to find such that

That is

Using t-table we have the value as

d) Since so also , the number of degrees of freedom is

Now we have to find such that

That is

Using t-table we have the value as