Question

Consider the following hypotheses:

H₀: σ² = 210

H_A: σ² ≠ 210

Find the p-value based on the following sample information, where the sample is drawn from a normally distributed population.

a. s²= 281; n = 34

The p-value is___________.

• 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

b. s²= 139; n = 34

The p-value is___________.

• 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. Which of the above sample information enables us to reject the null hypothesis at α = 0.01?

s²= 281; n = 34

• Do not reject the null hypothesis the population variance does not differ from 210.
• Do not reject the null hypothesis the population variance differs from 210.
• Reject the null hypothesis the population variance differs from 210.
• Reject the null hypothesis the population variance does not differ from 210.

s²= 139; n = 34

• Reject the null hypothesis the population variance differs from 210.
• Do not reject the null hypothesis the population variance differs from 210.
• Reject the null hypothesis the population variance does not differ from 210.
• Do not reject the null hypothesis  the population variance does not differ from 210.

Answer 1