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A high-school department made a change in its curriculum. One of the instructors in the department suspected that the change would result in a lowering of math skills. Students in the old program showed a mean of 70 points on a mathematics proficiency exam.
Forty-two students from the new program had the scores in the dataset MATHEMATICS TEST SCORES. The standard deviation of the all students over the years has been 10.34. Use a 2% level of significance.
a. Set up a hypothesis test
i. State the null and alternative hypothesis
ii. Confidence intervals of scores and the z or t intervals.
b. What are the results of the test (do the data indicate that the new program results in a lowering of math skills).
c. Do a P test. Are the two tests consistent?
d. Should the department us the new curriculum and why?
Verified Expert
This task provides a clear working example of hypothesis testing and confidence interval. The 98% confidence interval was constructed to determine the mean math score of students who enrolled in new program. the management thinks that the new program in teaching math to school students is not effective in increasing the math scores
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