Question

Suppose that we are testing H₀: μ = μ₀ versus H₁: μ < μ₀ with sample size of n = 25. Calculate bounds on the P -value for the following observed values of the test statistic (use however many decimal places presented in the look-up table. Answers are exact):

(a) lower bound and (b) upper bound upon t₀ = -2.59,

(c) lower bound and (d) upper bound upon t₀ = -1.76,

(e) lower bound and (f) upper bound upon t₀ = -3.05,

(g) lower bound and (h) upper bound upon t₀ = -1.3.

Answer 1

(a)

t₀ = - 2.59

ndf = n - 1 = 25 - 1 = 24

One Tail - Left Side Test

By Technology, P - value = - 0.0080

Lower bound = - 0.0080  

(b)

upper bound = 1

(c)

t₀ = - 1.76

ndf = n - 1 = 25 - 1 = 24

One Tail - Left Side Test

By Technology, P - value = - 0.0456

Lower bound = - 0.0456

(d)

upper bound = 1

(e)

t₀ = - 3.05

ndf = n - 1 = 25 - 1 = 24

One Tail - Left Side Test

By Technology, P - value = - 0.0028

Lower bound = - 0.0028

(f)

upper bound = 1

(g)

t₀ = - 1.3

ndf = n - 1 = 25 - 1 = 24

One Tail - Left Side Test

By Technology, P - value = - 0.1030

Lower bound = - 0.1030

(h)

upper bound = 1