Question

For parts a and​ b, use the t​ tables, software, or a calculator to estimate. For parts c and​ d, use software or a calculator to estimate. ​

a) the critical value of t for a 98% confidence interval with dfequals=30

b) the critical value of t for a 99​% confidence interval with dfequals=51. ​

c) the​ P-value for t≥2.69 with 6 degrees of freedom.

​d) the​ P-value for l t l than>2.32 with 21 degrees of freedom.

Answer 1

Solution :

(a)

df = 30

t _/2,df = 2.457

Critical value = 2.457

(b)

df = 51

t _/2,df = 2.676

Critical value = 2.676

(c)

P-value = P(t ₆ > 2.69) = 0.018

(d)

P-value = 2 * P(t ₂₁ > 2.32) = 0.0305