The acceptable level for insect filth in a certain food item is 3 insect fragments per 10 grams. a sample random of 60 ten gram portions of the food item is obtained and results in a sample mean of x = 3.7 insect fragments per ten gram portion.(a) mean u = 3(b) standard deviation o = ? round to 3 decimal.(c) what is the probability a simple random sample of 50 ten gram portions of the food item results in a mean of at least 3.7 insect fragments? p(x > 3.7) = ? round to 4 decimal.(d) is this result unusual? (e) what might we conclude? oa since this result is unusual, it is reasonable to conclude that the propulation mean is 3.ob since this result is not unusual, it is reasonable to conclude that the popilation mean is 3.oc since this result is unusual, it is reasonable to conclude that the population mean is higher than 3.od since this result is not unusual, it is reasonable to conclude that the population mean is higher than 3.

Tara incorporates her sole proprietorship, transferring it to newly formed black corporation. the assets transferred have an adjusted basis of $240,000 and a fair market value of $300,000. also transferred was $10,000 in liabilities, $1,000 of which was personal and the balance of $9,000 being business related. in return for these transfers, tara receives all of the stock in black corporation. a. black corporation has a basis of $241,000 in the property. b. black corporation has a basis of $240,000 in the property. c. tara’s basis in the black corporation stock is $241,000. d. tara’s basis in the black corporation stock is $249,000. e. none of the above.

Refer to the payoff matrix. suppose that speedy bike and power bike are the only two bicycle manufacturing firms serving the market. both can choose large or small advertising budgets. is there a nash equilibrium solution to this game?

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?