Question

In: Statistics and Probability

Consider the following hypotheses: H0: μ = 59 HA: μ ≠ 59 Find the p-value for...

Consider the following hypotheses:

H0: μ = 59

HA: 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

Solutions

Expert Solution

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


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