Question

Consider the following hypotheses:

H₀: μ ≤ 330

H_A: μ > 330

Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)

a. x¯x¯ = 340; s = 44; n = 21

• p-value  0.10

• p-value < 0.01

• 0.05  p-value < 0.10
• 0.01  p-value < 0.025
• 0.025  p-value < 0.05

b. x¯x¯ = 340; s = 44; n = 42

• 0.01  p-value < 0.025
• 0.05  p-value < 0.10
• 0.025  p-value < 0.05

• p-value < 0.01

• p-value  0.10

c. x¯x¯ = 340; s = 24; n = 30

• 0.01  p-value < 0.025
• p-value  0.10

• p-value < 0.01

• 0.025  p-value < 0.05
• 0.05  p-value < 0.10

d. x¯x¯ = 336; s = 24; n = 30

• p-value < 0.01

• 0.05  p-value < 0.10
• 0.01  p-value < 0.025
• p-value 0.10
• 0.025  p-value < 0.05

Answer 1

The statistical software output for this problem is :

(a)

p-value > 0.10

(b)

0.05  p-value < 0.10

(c)

0.01  p-value < 0.025

(d)

P value > 0.10