Question

Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where the assumption of normality is satisfied. Round your answer to four decimal places.

Step 1 of 3:

Left-tailed test,α=0.01,n=19

Step 2 of 3:

Right-tailed test ,α=0.1,n=13

Step 3 of 3:

Two-tailed test, α=0.05,n=17

Answer 1

Step 1 t = - 2.552

Step 2 t = 1.356

Step 3 two values t = - 2.12 on the left and t = 2.12 on the right

Explanation:

Normal Distribution

size sample < 30

Table to use t-student table

a) left-tailed test α = 0,01 n = 19 gl = 19 -1 gl = 18

Directly from t table

t = - 2.552

b) Right-tailed test α = 0,1 n = 13 gl = 13 - 1 gl =12

Directly from t table

t = 1.356

c) Two-tailed test α = 0,05 but two tails means we use α/2

α/2 = 0,025 n = 17 gl = n - 1 gl = 17 -1 gl = 16

From table:

t = - 2.12 on the left tail and t = 2.12 on the right tail