Jessica wondered if elementary school students tend to write more when they are given a larger amount of space in which to write. To investigate, she asked 100 fourth and fifth grade students to respond to the following prompt: “Do you like recess? Why or why not?” About half of the students were randomly assigned to use a larger 1/4-sheet of paper to write their response and the remaining students were assigned a smaller 1/6-sheet of paper. After the students finished, Jessica counted the number of words in each response. Summary statistics for each group are shown in the table. Group Number Mean Standard Deviation
Larger sheet 46 18.3 8.5
Smaller sheet 54 16.9 7.9
(a) Calculate and interpret a 95% confidence interval for the difference in mean number of words written for students like these who are asked to respond to the prompt on either a 1/4-sheet of paper or a 1/6-sheet of paper.
(b) Based only on the confidence interval from part (a), is there convincing evidence that the size of the paper affects the mean number of words written for students like these?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

Two cyclists 84 miles apart start riding toward each other at the same. one cycles 2 times as fast as the other. if they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?

Travis and paula went to lunch.travis ordered a sandwich for $7.50 and paula ordered a burger for $5.25.after lunch,they left a 15% tip for the waiter.how many money did they spend altogether?