A new diet is being tested. The inventor claims people lose 10 pounds on average after 6 weeks. 25 people are randomly picked to try the diet. Researchers are concerned the inventor's claim is exaggerated. The sample yields an average of 6.9 and a standard deviation of 7.4. Calculate the appropriate test statistic.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?