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 0.99 comma n equals 81−α=0.99, n=8 d.d. 1 minus alpha equals 0.99 comma n equals 591−α=0.99, n=59 b.b. 1 minus alpha equals 0.95 comma n equals 81−α=0.95, n=8 e.e. 1 minus alpha equals 0.90 comma n equals 531−α=0.90, n=53 c.c. 1 minus alpha equals 0.99 comma n equals 441−α=0.99, n=44?

Answer 1

a)

1- = 0.99 n= 8

n-1 = 8-1 =7

= 1-0.99 = 0.01

upper tail of critical value is: +2.998

b)

1- = 0.99

   = 1 -0.99 = 0.01

n = 59; n - 1 = 59-1 = 58

upper tail critical value: 2.392

c)

1- = 0.95

   = 1-0.95 = 0.05

n = 8 n-1 = 8-1 = 7

upper tail critical value : 1.895

d)

1- = 0.90

= 1-0.90 = 0.10

n = 53 n -1 = 52

critical value = 1.298

e)

1- = 0.99 = 0.01

n = 44 n-1 = 43

critical value: 2.416