A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After 3 weeks, the...

A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After 3 weeks, the following weight losses in pounds were noted. At the .05 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets? PLAN A PLAN B PLAN C 5 6 7 7 7 8 4 7 9 5 5 8 4 6 9 • State the null hypothesis. (.05 point) • State the alternative hypothesis. (.05 point) • Select a level of significance. (.05 point) • Select the test statistic (.05 point) and show the value of the test statistic. • Formulate the decision rule. (.05 point) • Make a decision. (.05 point). When stating your decision, state the value of the table's critical value and compare it with your obtained value.