Brittney wants to simulate a random selection from a large population of 30% science teachers and 70% English teachers who attended a conference. Which TWO simulations are appropriate for this situation? A) Use a coin. Designate heads for science teachers and tails for English teacher.

B) Use a spinner with 7 equal sections.

C) Cut 10 slips of paper, equal in size. Use 3 slips for science teachers and 7 slips for English teachers and randomly select from the 10 slips of paper.

D) Cut 12 slips of paper, equal in size. Use 6 slips of paper for science teachers and 6 slips of paper for English teachers and randomly select from the 12 slips of paper.

E) Use a spinner with 10 equal sections. Three of the sections are red, and 7 of the sections are blue.

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