In: Statistics and Probability
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.
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