1. problem 1 is adapted from problem 29 at the end of chapter 11. use excel to solve this problem and submit your excel file. the problem is as follows: a warehouse distributor of carpet faces a normally distributed demand for its carpet. the average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. a. suppose the distributor keeps 6,000 yards of carpet in stock during a month. what is the probability that a customer’s order will not be met during a month? (this situation is referred to as a stockout.) b. what is the probability that the demand will be between 5000 and 7000 yards? c. how many yards of carpet should this warehouse distributor order from its supplier to ensure that 97% of the demand is met? (the percent of customer demand/orders satisfied is referred to as service level. in this question, the service level is 97%.)

Phyllis and chen are saving money to go to a football game. each friend starts with some money and saves a specific amount each week. phyllis made a graph to show the total she has saved at the end of each week. chen wrote an equation to show the total, y, he has saved at the end of each week, x. y = 15x + 15 compare the amount that each friend has when both friends start saving. select the correct answer from the drop-down menu to complete the statement. phyllis starts with $ and chen starts with $

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)

For problems 7–10, state a reasonable domain for the problem statement, find the inverse function f –1(x), and identify the independent and dependent quantities of the inverse. 7. gary is jogging. the total distance he has traveled, in miles, can be estimated using the function f(x) = 9x, where x is his jogging time in hours. 8. camryn sells computers. she earns commission for her computer sales plus a fixed wage for each day she works. her daily earnings, in dollars, can be estimated using the function f(x) = 0.15x + 50, where x represents her computer sales in dollars. 9. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds, for0≤x≤10. 10. a rock band is selling tickets to a concert at a theater. the band earns money for each ticket sold, but has to pay some of the earnings to the theater. the total money earned by the band can be estimated using the function f(x) = 7.5x – 300, where x is the number of tickets sold.