8 MULTIPLE CHOICE Consider the following statistical methodo

8. MULTIPLE CHOICE: Consider the following statistical methodologies:

Consider the following statistical methodologies: For the following scenarios below, write the number from the list above that corresponds to the method/inference procedure that is most appropriate. Write the number on blanks provided: Dieticians are interested in testing the effectiveness of a new diet and exercise program, but they\'re unable to make assumptions about distribution of the weight losses. We want to assess whether a t confidence interval may be applied to some data. A new vaccine is tested versus a placebo for differences in mortality. The effectiveness of marriage counseling is assessed by the following study: 40 married couples are randomly selected and each couple is randomly assigned to either attend 6 weeks of counseling or not attend any counseling sessions. After the 6 week period, each member of the couple rates the success of their marriage on a scale of 1 to 10 and the average rating per couple is recorded. We wish to make a confidence interval for the 95th percentile of a distribution. The Kellogg\'s company has two machines for filling boxes with Corn Flakes. They wish to select the machine that is more precise in producing filled boxes of nearly the same weight. We want to know how many subjects to include in a study to assess the effects of a new drug on blood cholesterol. Criminologists are interested in determining if there is an association between the incidence of homicides and seasons. They have collected data on 1528 recent homicides and classified them by the season in which they occurred (Winter, Spring, Summer, or Fall). A university wants to make inferences about the mean GPA of its students. A total of 1000 students are sampled randomly from different disciplines. We wish to model the mean of a response variable, Y, with a predictor variable, X, using the following relationship E(Y) = beta 0 + beta1X^2.

Solution

The given question deals with the study of the type of test for each of sfollowing cases given.

a.

The event where the effectiveness are to be tested while the distribution is not known, the paired t-test is used.

b.

To test whether the t confidence interval can be applied to some data the test used is Ppwer calculation is used.