A sample of 9 students had the following result (measured in percent) on the exam in mathematics: (see figure) (d) Find a 99% confidence interval for the expected value µ for the result based on these measurements. We now assume that the standard deviation σ is unknown and that the results are independent of each other. (e) Based on the sample of 9 students, is there reason to claim that the expectation value µ for the result of the examination in mathematics has changed? Formulate hypotheses H0 and H1. Test the hypotheses at significance level α = 0, 01 and conclude whether hypothesis H0 should be rejected or retained.

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A sample of 9 students had the following result (measured in percent) on the exam in mathematics: (see figure)

(d) Find a 99% confidence interval for the expected value µ for the result based on these measurements. We now assume that the standard deviation σ is unknown and that the results are independent of each other.

(e) Based on the sample of 9 students, is there reason to claim that the expectation value µ for the result of the examination in mathematics has changed? Formulate hypotheses H0 and H1. Test the hypotheses at significance level α = 0, 01 and conclude whether hypothesis H0 should be rejected or retained.

41,3 63,7 35,7 87,1 37,9 53,5 58,6 49,5 25,4
Transcribed Image Text:41,3 63,7 35,7 87,1 37,9 53,5 58,6 49,5 25,4
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