Two methods were used to teach a high school algebra course. A sample of 75 scores was selected for method 1, and a sample of 60 scores was selected for method 2. The results are: Method 1 Method 2 Sample mean 85 83 Sample s.d. 3 2 Test whether method 1 was more successful than method 2 at the 1% level. (Null and Alternate Hypothesis and Rejection Region) [Group 1: Method 1; Group 2: Method 2] A. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: z < -2.33 B. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: t < -2.39 C. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: t > 2.39 D. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: z < -2.33 E. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: t < -2.66 or t > 2.66 (Test Statistic) A. t = 7.385 B. z = 4.629 C. t = 4.629 D. z = 7.385 E. t = 4.595 (p-value and conclusion) A. p = 0.00001; RHo (Sufficient evidence exists to reject the claim) B. p = 0.648; RHo (Sufficient evidence exists to reject the claim) C. p = 0.677; FRHo (No sufficient evidence to reject the claim) D. p = 0.454; RHo (Sufficient evidence exists to reject the claim) E. p = 0.648; FRHo (No sufficient evidence to reject the claim)
Two methods were used to teach a high school algebra course. A sample of 75 scores was selected for method 1, and a sample of 60 scores was selected for method 2. The results are:
| Method 1 | Method 2 | |
| Sample mean | 85 | 83 |
| Sample s.d. | 3 | 2 |
Test whether method 1 was more successful than method 2 at the 1% level.
(Null and Alternate Hypothesis and Rejection Region)
[Group 1: Method 1; Group 2: Method 2]
A. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: z < -2.33
B. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: t < -2.39
C. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: t > 2.39
D. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: z < -2.33
E. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: t < -2.66 or t > 2.66
(Test Statistic)
A. t = 7.385
B. z = 4.629
C. t = 4.629
D. z = 7.385
E. t = 4.595
(p-value and conclusion)
A. p = 0.00001; RHo (Sufficient evidence exists to reject the claim)
B. p = 0.648; RHo (Sufficient evidence exists to reject the claim)
C. p = 0.677; FRHo (No sufficient evidence to reject the claim)
D. p = 0.454; RHo (Sufficient evidence exists to reject the claim)
E. p = 0.648; FRHo (No sufficient evidence to reject the claim)
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