a marketing company conducted an analysis of market preference for four different brands of orange juice. the hypothesis is that there is no preference for any one brand over the others. the following table presents the result of a random sample of preferences. what are the expected frequencies for each brand, and what is the degrees of freedom for a chi-square test on this data?

Bill dukes has $100,000 invested in a 2-stock portfolio. $62,500 is invested in stock x and the remainder is invested in stock y. x's beta is 1.50 and y's beta is 0.70. what is the portfolio's beta? do not round your intermediate calculations. round the final answer to 2 decimal places.

Performance bicycle company makes steel and titanium handle bars for bicycles. it requires approximately 1 hour of labor to make one handle bar of either type. during the most recent accounting period, barr company made 7,700 steel bars and 2,300 titanium bars. setup costs amounted to $35,000. one batch of each type of bar was run each month. if a single company-wide overhead rate based on direct labor hours is used to allocate overhead costs to the two products, the amount of setup cost assigned to the steel bars will be:

Mattress wholesalers, inc. is constantly trying to reduce inventory in its supply chain. last year, cogs was $7.47 million and inventory was $1.47 million. this year, cogs is $8.65 million and inventory investment is $1.64 million.a) what was its weeks of supply last ) what is its weeks of supply this ) is mattress wholesalers making progress in its inventory reduction effort? since the number of weeks that cover the supply has mattress wholesalers is making in its inventory reduction effort.