An Math teacher is interested in examining whether his 8 AM morning class has a

Question

An Math teacher is interested in examining whether his 8 AM morning class has a different level of motivation to learn than his 2 PM afternoon class. He administers a 40-point motivational survey to a randomly drawn sample of students. The results are given to the right. Construct a 75% confidence interval of the difference in motivation scores to determine if the data supports the teacher's hypothesis that the time when student attends a class is related to their motivation.

N Mean Median StdDev Min Max Morning 38 22.31 24 4.78 6 39 Afternoon 62 19.56 20 3.55 10 36

Explanation / Answer

H0: mu1= mu2 (average motivation is the same irrespective of time)

Ha: mu1 not equals mu2

(Two tailed test for means)

Sample I II d=Mean diff Mean 22.31 19.56 2.75 Std dev 4.78 3.55 n 38 62 Alpha 0.25 Std error 0.8969 Margin of error 1.03 95% conf intervals Upper 3.781435 Lower 1.718565 75% Z alpha/2 1.15

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