The officers of a high school senior class are planning to rent buses and vans for a class trip. each bus can transport 6363 students, requires 88 chaperones, and costs $ 1,200 to rent. each van can transport 77 students, requires 1 chaperone, and costs $80 to rent. since there are 567 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 567 students. since only 80 parents have volunteered to serve as chaperones, the officers must plan to use at most 80 chaperones. how many vehicles of each type should the officers rent in order to minimize the transportation costs? what are the minimal transportation costs?

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10