For a one-sample problem, suppose that n = 20, x = 315.9, and s = 22.9. The p-value for the hypotheses Ho : µ > 320 versus HA : µ< 320 is: а. A. P(t19 < -0.80) B. 2xP(t19 <0.80) C. 2 x P(t19 < -0.80) D. 2xP(t19 >0.80) E. P(t19 > -0.80) b. For a two-sided t-test, which of the following t-statistics would result in the largest p-value? A. 2.55 В.-2.55 C. 1.43 D. -1.33 Е. 3.22 For a one-sided t-test with HA : µ > 10, which of the following t-statistics would result in the largest p-value? С. A. 2.55 В. -2.55 С. 1.43 D. -1.33 Е. 3.22

MATLAB: An Introduction with Applications
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8.  
a. For a one-sample problem, suppose that \( n = 20 \), \( \bar{x} = 315.9 \), and \( s = 22.9 \). The p-value for the hypotheses \( H_0: \mu \geq 320 \) versus \( H_A: \mu < 320 \) is:

A. \( P(t_{19} \leq -0.80) \)  
B. \( 2 \times P(t_{19} \leq 0.80) \)  
C. \( 2 \times P(t_{19} \leq -0.80) \)  
D. \( 2 \times P(t_{19} \geq 0.80) \)  
E. \( P(t_{19} \geq -0.80) \)  

b. For a two-sided t-test, which of the following t-statistics would result in the largest p-value?  
A. 2.55  
B. -2.55  
C. 1.43  
D. -1.33  
E. 3.22  

c. For a one-sided t-test with \( H_A: \mu > 10 \), which of the following t-statistics would result in the largest p-value?  
A. 2.55  
B. -2.55  
C. 1.43  
D. -1.33  
E. 3.22
Transcribed Image Text:8. a. For a one-sample problem, suppose that \( n = 20 \), \( \bar{x} = 315.9 \), and \( s = 22.9 \). The p-value for the hypotheses \( H_0: \mu \geq 320 \) versus \( H_A: \mu < 320 \) is: A. \( P(t_{19} \leq -0.80) \) B. \( 2 \times P(t_{19} \leq 0.80) \) C. \( 2 \times P(t_{19} \leq -0.80) \) D. \( 2 \times P(t_{19} \geq 0.80) \) E. \( P(t_{19} \geq -0.80) \) b. For a two-sided t-test, which of the following t-statistics would result in the largest p-value? A. 2.55 B. -2.55 C. 1.43 D. -1.33 E. 3.22 c. For a one-sided t-test with \( H_A: \mu > 10 \), which of the following t-statistics would result in the largest p-value? A. 2.55 B. -2.55 C. 1.43 D. -1.33 E. 3.22
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