Question

Consider the following hypotheses:

H₀: μ = 42

H_A: μ ≠ 42

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¯ = 40; s = 10.4; n = 30

• 0.01 p-value < 0.02
• 0.02 p-value < 0.05

• p-value < 0.01

• 0.05 p-value < 0.10
• p-value 0.10

b. x⎯⎯x¯ = 44; s = 10.4; n = 30

• p-value 0.10
• 0.05 p-value < 0.10
• 0.02 p-value < 0.05
• 0.01 p-value < 0.02

• p-value < 0.01

c. x⎯⎯x¯ = 39; s = 9.7; n = 27

• p-value 0.10

• p-value < 0.01

• 0.05 p-value < 0.10
• 0.01 p-value < 0.02
• 0.02 p-value < 0.05

d. x⎯⎯x¯ = 38; s = 9.7; n = 35

• p-value < 0.01

• 0.02 p-value < 0.05
• 0.05 p-value < 0.10
• 0.01 p-value < 0.02
• p-value 0.10

Answer 1

The statistical software output for this problem is :

(a)

P-value > 0.10

(b)

P-value > 0.10

(c)

P-value > 0.10

(d)

0.02 < p-value < 0.05