The article The Gap Between Wine Expert Ratings and Consumer Preferences" (Intl. J. of Wine Business Res., 2008: 335-351) studied differences between expert and consumer rat- ings by considering medal ratings for wines, which could be gold (G), silver (S) or bronze (B). Three categories were then established: 1. Rating is the same [(G, G), (B, B), (S, S) 2. Rating differs by one medal [(G, S), (S, G), (S, B), (B, S)l; 3. Rating differs by two medals (G, B),(B, G)]. The observed frequencies for these three categories were 69, 102 and 45, re- spectively. On the hypothesis of equally likely expert ratings and consumer ratings being assigned completely by chance, each of the nine medal pairs has probability 1/9. Carry out an appropriate2 test using a significance level of 0.10 by finding the P-value of the test.

Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.