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Null & Alternative Hypotheses : T-Tests

Ten people agree to take part in an experiment designed to determine whether a persons weight differs between morning & evening. Each person is weighed last thing at night & first thing in the morning, wearing the same clothes.
The results, giving weights in kilogrammes are below.

weight 1 2 3 4 5 6 7 8 9 10
night 70.5 61.0 27.5 55.0 65.0 64.0 50.0 31.0 45.5 41.0
morn 70.0 60.5 27.0 55.0 65.0 62.5 49.0 30.0 44.5 40.5

Is there any evidence of a difference in a persons weight between night & morning? State clearly the null & alternative hypotheses you are testing & any assumptions you have to make. Use a 1% level of significance.

Use minitab to do a 2-sample t-test & a paired t-test at the 1% level of significance to test the hypothesis that a persons weight in the morning is less than their weight at night. (Interpret the output)

Discuss the difference between the two tests.

Solution Summary

Hypotheses based on given data are tested using t-tests. A Word file and an Excel file are included with this comprehensive solution.

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