Question

Determine the​ upper-tail critical value

t Subscript alpha divided by 2tα/2

in each of the following circumstances.

.a.	1 minus alpha equals 0.90 comma n equals 161−α=0.90, n=16		.d.	1 minus alpha equals 0.90 comma n equals 261−α=0.90, n=26
.b.	1 minus alpha equals 0.95 comma n equals 161−α=0.95, n=16		e.	1 minus alpha equals 0.99 comma n equals 81−α=0.99, n=8
c.	1 minus alpha equals 0.90 comma n equals 681−α=0.90, n=68

Answer 1

a)

Confidence level = 0.90

Sample size = n = 16

Degrees of freedom = n - 1 = 16 - 1 = 15

Our test is one tail test.

We have to find the upper tail critical value.

Critical value = 1.341

( From t table)

b)

Confidence level = 0.95

Sample size = n = 16

Degrees of freedom = n - 1 = 16 - 1 = 15

Our test is one tail test.

We have to find the upper tail critical value.

Critical value = 1.753

( From t table)

c)

Confidence level = 0.90

Sample size = n = 68

Degrees of freedom = n - 1 = 68 - 1 = 67

Our test is one tail test.

We have to find the upper tail critical value.

Critical value = 1.296

( From t table)

d)

Confidence level = 0.90

Sample size = n = 26

Degrees of freedom = n - 1 = 26 - 1 = 25

Our test is one tail test.

We have to find the upper tail critical value.

Critical value = 1.316

( From t table)

e)

Confidence level = 0.99

Sample size = n = 8

Degrees of freedom = n - 1 = 8 - 1 = 7

Our test is one tail test.

We have to find the upper tail critical value.

Critical value = 2.998

( From t table)