Question

In: Statistics and Probability

Consider the following hypotheses: H0: μ ≤ 520 HA: μ > 520 Find the p-value for...

Consider the following hypotheses:

H0: μ ≤ 520

HA: μ > 520

Find the p-value for this test based on the following sample information.

a. x¯ = 533; s = 40; n = 19

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

  • p-value < 0.01


b. x¯ = 533; s = 40; n = 38

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

  • p-value < 0.01

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

c. x¯ = 533; s = 32; n = 30

  • p-value < 0.01

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

d. x¯ = 530; s = 32; n = 30

  • p-value < 0.01

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

Solutions

Expert Solution

Solution-A:

using ti 83 cal

STAT>TESTS>T-TEST

P=0.0868

0.05  p-value < 0.10

Solution-b:

p=0.026

0.025  p-value < 0.05

Solution-c;

p=0.0170

0.01  p-value < 0.025

Solution-d:

p va;ue=0.0488

0.025  p-value < 0.05

orchestra answered 2 years ago
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