Identify an appropriate statistical test and the tail of the test for the following problems. Assume all samples used for the study come from a normal population.A. Determine if the performance of ABCS 206 students in an interim assessment(IA) is a good predictor of their performance at the end of semester examination.B. A hair cream manufacturer wants to know if there is a relationship between the quantity of hair cream applied to the hair and the growth of hair. C. A district health officer wishes to determine if the six villages in his district are independent of residents contracting malaria, schistosomiasis, cholera or tuberculosis. D. A biologist is studying three different varieties of tomato to determine whether there is a difference in the proportion of seeds that germinate. Random samples of 200 seeds of each of three varieties are subjected to the same starting conditions.

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bondsk384r · Accepted Answer

A. In order to determine if the performance in the interim assessment is a good predictor of performance in end of semester examination, one must fit a regression model for the end semester, on the interim assessment performance. As the population is normally distributed data, the t-test for the slope coefficient corresponding to the predictor, that is, interim assessment performance, will help to test for the utility of the predictor.A good predictor would result in a slope that is significantly different from 0.Hence, a suitable test is the two-tailed test t-test for the regression slope coefficient.B. In order to determine if there is a relationship between the quantity of hair cream applied and hair growth, one might determine whether there is a strong enough linear relationship between the two variables. Now, for normally distributed data, the correlation coefficient is a good measure of linear relationship between two variables.If there is a strong enough linear relationship between the quantity of hair cream applied and hair growth, then the correlation coefficient would be significantly different from 0.Hence, a suitable test is the two-tailed test correlation test.

blessgansgxei · Accepted Answer

C. In order to determine whether the villages are independent of residents contracting the different types of diseases, a test of association is suitable.Due to the normally distributed populations, the chi-square test of association or independence is a suitable test for testing for independence.As the chi-square test statistic value is always positive, chi-square tests are usually taken to be right-tailed.Hence, a suitable test is the right-tailed chi-squared test of independence.

Identify an appropriate statistical test and the tail

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