2. blotto brewing co. has research from 3 years ago that shows that 18% of their customers prefer blotto dark, 48% prefer blotto lite, and 34% prefer blotto lager. to see if these percentages are still correct, they sample 120 regular blotto drinkers and record the following preferences: 9 for dark, 72 for lite, and 39 for lager. a. use minitab to test at the 5% whether the preferences from 3 years ago are still valid. copy and paste all relevant test output into your paper. b. interpret your results and state your conclusion in terms of the data and the question being studied. c. how might blotto use these results?

The market for corn in country a is highly competitive. at the current market price of $5/bushel there is a shortage of 100,000 bushels of corn in this country. media reports claim that the price of corn will rise drastically in the near future. according to these reports, the neighboring country b had witnessed a similar situation recently. at the same price, the shortage in country b was also 100,000 bushels and eventually the equilibrium price in b went up to $10/bushel. both countries are known to have equal number of corn producers and the market supply of corn is identical at all prices. this, combined with the fact that consumers in the two countries also have similar tastes and preferences, led the media to conclude that the price of corn in country a would soon be as high as $10/bushel. the new equilibrium price turns out to be below $10/bushel, what inferences can be drawn?

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below. a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample. assume=0.05. what are the null and alternative hypotheses? choose the correct answer below. b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Claire wants to include animations in her presentation slides. which element of the presentation program’s interface will have the options for animation? claire should use the to include animations in her presentation slides.