3. What are the appropriate test statistics for the following problems a) In the

Question

3. What are the appropriate test statistics for the following problems a) In the study of the effect of cigarette smoking on the carbon dioxide diffusing capacity (DL) of the lung, researches found that current smokers had DL readings significantly lower tharn either ex-smokers or nonsmokers. Test if the data indicate that the mean DL reading for current smokers is lower than 100, the average DL reading for nonsmokers b) Two methods for teaching reading were applied to two randomly selected groups of elementary schoolchildren and then compared on the basis of a reading comprehension test given at the end of the learning period. Test if the data present sufficient evidence to indicate a difference in the mean scores for the populations associated with the two teaching methods c) An experiment was set up to study a drug, Lipanthyl, based on its effect on cholesterol level in blood. The level of LDL was measured right before the treatment and again after the 3- month treatment. Test if the data present sufficient evidence to indicate that the 3-month Lipanthyl treatment does not affect the LDL blood level

Explanation / Answer

1) one sample t test

Note: as we have test the null hypothesis that that mean = 100 against alternative mean < 100 based on sample observation

2) two sample t test

Note: as we have to compare two population means based on two independent samples

3) paired t test

Note: as we have to compare two population means , two sets of observation based on same set of subjects

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