The paper "effects of fast-food consumption on energy intake and diet quality among children in a national household survey" (pediatrics [2004]: 112– 118) investigated the effect of fast-food consumption on other dietary variables. for a sample of 663 teens who reported that they did not eat fast food during a typical day, the mean daily calorie intake was 2258 and the sample standard deviation was 1519. for a sample of 413 teens who reported that they did eat fast food on a typical day, the mean calorie intake was 2637 and the standard deviation was 1138.
a. what assumptions about the two samples must be reasonable in order for the use of the two-sample t confidence interval to be appropriate?
b. use the given information to estimate the difference in mean daily calorie intake for teens who do eat fast food on a typical day and those who do not.

The chromosome manufacturing company produces two products, x and y. the company president, jean mutation, is concerned about the fierce competition in the market for product x. she notes that competitors are selling x for a price well below chromosome's price of $13.50. at the same time, she notes that competitors are pricing product y almost twice as high as chromosome's price of $12.50.ms. mutation has obtained the following data for a recent time period: product x product y number of units 11,000 3,000 direct materials cost per unit $3.23 $3.09 direct labor cost per unit $2.22 $2.10 direct labor hours 10,000 3,500 machine hours 2,100 1,800 inspection hours 80 100 purchase orders 10 30ms. mutation has learned that overhead costs are assigned to products on the basis of direct labor hours. the overhead costs for this time period consisted of the following items: overhead cost item amount inspection costs $16,200 purchasing costs 8,000 machine costs 49,000 total $73,200using direct labor hours to allocate overhead costs determine the gross margin per unit for product x. choose the best answer from the list below.a. $1.93b. $3.12c. $7.38d. $2.43e. $1.73using activity-based costing for overhead allocation, determine the gross margin per unit for product y. choose best answer from list below.a. $10.07b. ($2.27)c. ($5.23)d. ($7.02)e. $7.02