Question

1. You are performing a two-tailed test with a sample size of 64.
If 0α=0.10, find the positive critical value, to three decimal places.
tα/2=

2. You are performing a two-tailed test with a sample size of 46.
If α=0.002, find the positive critical value, to three decimal places.
tα/2=

Answer 1

Given that,

sample size = n = 64

Degrees of freedom = df = n - 1 = 64 - 1 = 63

This is two tailed test,

  = 0.10

/2 = 0.05

t/2,df = t_{0.05, 63} = 1.998

critical value = 1.998

Given that,

sample size = n = 46

Degrees of freedom = df = n - 1 = 46 - 1 = 45

This is two tailed test,

  = 0.002

/2 = 0.001

t/2,df = t_{0.001, 45} = 3.520

critical value = 3.520

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