Question

Consider the following hypotheses:

H₀: μ = 59

H_A: μ ≠ 59

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¯ = 55; s = 11.4; n = 11

• 0.01 p-value < 0.02

• p-value < 0.01

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

b. x¯x¯ = 63; s = 11.4; n = 11

• 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¯ = 57; s = 10.3; n = 32

• 0.01 p-value < 0.02
• p-value 0.10

• p-value < 0.01

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

d. x¯x¯ = 55; s = 10.3; n = 38

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

• p-value < 0.01

• 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