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MAT 312

Chapter 11 Test (30 Points)

1. A professor is concerned that two sections of his college algebra classes are not performing at the same level. In class 1, the mean test score of his 27 randomly chosen students is 83.9 with a standard deviation of 5.6. In class 1, the mean score of 19 students is 85.8 with a standard deviation of 6.4. Test the professor’s claim at the 0.05 level of significance. Assume the population variances are equal. (15 points)

Ho:

Ha:

Level of Significance:

Test Statistic:

P-Value:

Decision:

Conclusion:

2. A state program claims to lower high school drop-out rates. In one district, from a sample of 3650 students, the drop-out rate was 5.2%. Two years later after the start of the new program, the drop-out rate was lowered to 4.6% out of 1825 students. Is there enough evidence to say that the state’s program is effective at lowering the high school drop-out rate? Test the claim at the 0.05 level of significance. (15 points)

Ho:

Ha:

Level of Significance:

Test Statistic:

P-Value:

Decision:

Conclusion: